Abstract:
An improved golf club with markings visible on the club head face indicating the ideal points of contact with a golf ball regardless of whether the golf ball is lying on the ground, on a golf tee or otherwise, together with markings visible on club head top indicating basic alignment of club head and golf ball to the target, with methods and tools for determining same. The markings are determined by intersecting lines, planes and axes. The markings may be determined for an existing already manufactured or for a custom fitted golf club regardless of whether the golf club has a flat or round base. The location of the markings may vary from golfer to golfer and from club to club depending upon parameters.

Description:
BACKGROUND OF THE INVENTION 
     Since the beginning of golf in the 1400&#39;s, Golf club manufacturers say there is a Sweet Spot and Center Of Gravity on clubheads that has been understood, assumed and accepted by all golfers, but why haven&#39;t they told us golfers where that Sweet Spot is designed for, to hit a ball off the Ground or perched on a Tee? Wherein this disclosure unveils and tells golfers how this is to be accomplished. 
     Golf club manufacturers and golfers have been trying, but unable to solve golfs 600 year old riddle of hook and slice, wherein they lay awake at night trying to figure out how to hit a golf ball straight . . . until now. 
     A Golf Club, Golfclub, Club, or Clubhead, is considered complete with all of its components, Grip, Shaft and Head. 
     The past knowledge and recognition of a clubhead having a Sweet Spot and a Center Of Gravity will be proven to be antiquated, and circumvented by this patent, which divulges the existence of Two Sweet Spots and its associated derivatives, found by the use of a Bernie Line. 
     There are four basic categories to improve playing golf, the golfer, their equipment, technique and prayer. Their search for the correct equipment, or the ultimate golf club, is like looking for the needle in the haystack, or that one Sweet Spot on a clubhead with which to hit the ball. In the past, there has been no correct method of finding, understanding or knowing how to use this Sweet Spot on a golf club, until now. 
     The Golf club strikes a ball at a master reference point called the Ball Impact Point, which can be a variable dependant upon the club design or use, and in regards to basically two ball height positions. 
     A golf club Head is like a wrecking ball which has a cable or chain that controls three basic parameters, speed, power and direction, with the wrecking ball doing most, but not all, of the work. A clubhead does more, it controls loft, tilt, ball spin, direction, control, etc. A golf club Head is similar to an airplane landing and must always be parallel to the ground. 
     A golf club is similar to a humans leg, the Grip vs. Thigh, Shaft vs. Calf, and the Clubhead vs. Foot, whose clubhead comparison consists of a Toe, Heel and Sole. If a foot is not soled properly it will affect ones ability to walk, likewise if the clubhead is not soled properly, a change will occur altering the characteristics of the clubhead, as this disclosure will explain. Likewise, a clubhead is also comparable to a barbell that has a Sweet Spot and a Center Of Gravity, wherein if one end of the barbell is lifted higher than the other end, the sweet spot and center of gravity changes and the weight can be dropped. Therefore, if the clubhead Toe or Heel goes up it alters the soling and moves that now questionable sweet spot one way or the other, causing miss hits. 
     All golf clubs to date have round bases to accommodate the majority of golfers lie angles. 
     Forward Press, or Positive Press, is the tilt of the top grip and shaft positioning leaning towards the target or hole, normally from center body, allowing the shaft to be more in line with the golfers forward arm, or to deloft the clubhead. Forward Press affects the clubhead face squareness to be open or closed to the target when having the same lie angle, unless otherwise held in the desired position. Forward Press maybe generically manufactured into some golf clubs to fit golfers, but generally fails because every golfer holds each club differently. Forward Press also keeps the forward wrist straight which can be adapted to all of their golf clubs to create a Press Rhythm resulting in similar setup and use that provides optimum power, control and direction between all clubs. Reverse Press or Negative Press is the movement of the top grip opposite or away from the target. Press Deviation is more detrimental to the golfer than Lie Angle Deviation. Press is measured in inches, mm or degrees. 
     Hooding is the instability of the clubhead causing it to wobble, flounder or flop over, resulting in the opening or closing of the clubhead face, when it is not in its designated position or limits that are designed basically for lie or press angles. Hooding affects are related to the soling of that clubhead, which is more prolifically felt when soled on a smooth flat surface, compared to being on a rug or grass. All clubheads produced have curved or arced bases with a soled radius, like a seesaw or rocking chair, to generically fit every golfer, that gives the illusion of identical soling, whereby changing the sweet spot location, without necessarily Hooding. Hood design in clubheads will alert the golfer that a parameter change exists, that will alter the ball striking characteristics of the clubhead, so that he may make necessary adjustments. This patent is also applicable to all clubhead bases that are of such a curved nature or otherwise, and incorporates an Automatic Hood feature. 
     This inventor has established Three Triangles in golf, the Stance Triangle, the Alignment Triangle, and the Club Triangle, that can affect the Sweet Line and dependency upon the Ball Impact Point. 
     These triangles are generally applicable in life and sports, such as baseball, golf, bowling i.e. 
     The Stance Triangle requires the ball, golf club and player in a referenced and repeatable position. This triangle is derived from three points, the Ball Impact Point, the positioning of the grip top with the players hand or Press, and the distance from the players forward foot tip to the imaginary ball traveling line called the Foot distance. The perpendicular distance from the tip of the forward foot to the clubhead face line is called the Ball distance. Each club has its own characteristics that the golfer must adapt in his Stance Triangle for that club, requiring reproducibility each time that club is used, otherwise the Sweet Line changes. This triangle will always remain the same when the ball, and the golfers feet are on the same plane, but, if they are on different planes, then the Stance Triangle must change. On some conventional clubs, the golfer intentionally tries to align his eyes over the ball, or the clubhead, but has no means to do so correctly, unless he physically drops a ball from between his eyes, or incorporates this patent features. 
     The Alignment Triangle requires the ball, golf club and player in position. This triangle is derived from three points, the Ball Impact Point, the Foot distance and the positioning of the bridge of the golfers nose between his eyes. This triangle is used to align the clubhead and Ball Impact Point in relationship to the target, that varies the positioning of the grip top in a curved path. 
     The Club Triangle is derived by three dimensions, length and two plumb bob measurements, when the clubhead is in its soled position. The length of the club is measured from the top of the grip to the base, vertically below the intended clubhead impact point, in consideration to correct soling. A plumb bob hanging from grip, creates two distances, one from the imaginary ball line, and the other from the club head face line. This triangle is used in conjunction with the golfers Stance Triangle, that is used to manufacture custom clubs, club cloning, verify club parameters if it is suspected of being damaged, or otherwise. The soling is extremely important and will be analyzed and discussed later. 
     Iron Head face heights vary, by peaking at the toe, angularly and diminishing in height, being flat or somewhat curved, and terminating at the heel or shaft. Whereas Wood Head tops are curved horizontally and peak at the center above the head Sweet Spot. Both will be shown to be substantially improved. 
     Impact areas on Iron Head faces are flat, whereas Wood faces incorporate a curved horizontal face bulge and vertical face roll, having both identified with Sweet Spot markings. External to the impact areas, Iron Heads have no alignment markings, whereas Woods have markings on the top of the Head that are also referenced to the Head Sweet Spot or Center Of Gravity, without their Grip and Shaft components, wherein, this patent does take into consideration these components. 
     Golf club shaft mounting into the head heel has moved from basically in line with the face, to ahead of the face towards the hole called Offset, wherein presented is the movement back, called Centerset. 
     Presented are the four states that an object resides in, Static State, Dynamic State, Dynamic Impact State and Dynamic Impact Aftermath State. 
     In a Static State, any instrument, including a baseball bat, golf club or Head component, having no motion, and not subjected to external forces, are only affected by gravity. In this state, all objects, Symmetrical and Nonsymmetrical have a Center of Gravity. This patent is in agreement, that on all Heads, without their shaft and components, and in their Static State, have a Center of Gravity from where a Sweet Spot can be deduced and identified. That a Head, Center Of Gravity and Sweet Spot is one thing, but components must be added to the Head to make a golf club, resulting in the golf clubs own Center of Gravity that is now in free space, caused by related club planes, axes and weighting, that must be taken into consideration to understand the design of the Two Sweet Spots, by its derivation and derivatives. 
     A Dynamic State is created when that instrument is subjected to external forces that causes it to move and defy gravity, as in the case of a complete golf club with all of its components being swung, that now takes into account Center Of Mass, Swing Plane and centrifugal forces. Thus, the past terminology relating to center of gravity will be replaced by Center Of Mass. 
     Dynamic Impact State is created when that instrument or golf club in the Dynamic state strikes or hits an object in a Static or Dynamic State, such as a ball, that can be measured during contact, or dwell time, on both the instrument and struck object. When a Nonsymmetrical instrument, such as a golf club, is used in a Dynamic Impact State, gravitational forces are overcome and become virtually insignificant resulting in new phenomena and terminology, as will be described and discussed in this disclosure. 
     A Dynamic Impact Aftermath State occurs to both the instrument and struck object after contact is completed. 
     The Clubhead Swing Plane has been extremely skewed on past clubheads, that will be shown to have a prolific improvement. 
     A player swinging any instrument, whether a baseball bat or golf club, creates an extension of the Swing Plane with his arms and body, somewhat controlling any miss hits to an object by the gripping power with his hands, but the instrument is still the prime controlling factor in the Dynamic Impact State, with the clubhead being paramount as the striking force. 
     Many years ago rifles had no gun sights for alignment purposes, but today all rifles, pistols and derringers have two gun sights that can also be adjusted to distance targets, so why not a golf club having Target Lines for alignment, and Two Sweet Spots to coincide to the two ball height distances, from the Ground or off a Tee. 
     INVENTION OBJECTIVES 
     To introduce several novel features that is applicable to all classifications of instruments, especially golf clubs, that are intended to make contact with another object, ball or otherwise. 
     To establish and promote correct golf club use, and testing, through the understanding and knowledge of modern golfing technology using the Bernie Line principles. 
     To overcome the mandated Sweet Spot belief, known throughout the centuries, wherein on clubheads there exists only one singular sweet spot derived from a head center of gravity, and to unveil this myth by conveying to golfers that Two Sweet Spots actually exists. 
     To pass on to my fellow golfers, my twenty five years of frustration in golf before my father said “Your an Engineer . . . FIX IT!”. 
     SUMMARY OF THE INVENTION 
     This patent does not take into consideration, nor is necessarily concerned with, prior patents, nor any other documentation, discussing, and interpreting a Sweet Spot as being the point at which to hit a golf ball. The Sweet Spot has also been interpreted as that One Singular Point, Center of Gravity, Center Point, Geometric Center, Center of Compression, Point of Compression, Impact Point, etc., which past golf club design concepts and principles were based upon, that are hereby repudiated, and justifiably so, by this disclosure. 
     This patent encompasses new engineering design principles in golf clubs, their manufacture and fitting, applicable to alignment markings and identification at any clubhead location, on or within the clubhead, adjustable or fixed, within or external to the impact area as defined by the USGA or other entities, visual or nonvisual, color coded, blended or otherwise, singular or plurality, and in any mannerism, allowing the golfer to automatically and exactly align the clubhead to a ball at any height, but basically at two heights, from the Ground or perched on a Tee, whereupon at ball impact results in the transferral of optimum power, control and direction of intent. In order to accomplish this, correct soling of the clubhead base should be made but is not necessary. 
     This present invention applies to all Symmetrical and Nonsymmetrical instruments that are used to hit an object. A comparison will be made between two instruments, a Symmetrical baseball bat and a Nonsymmetrical golf club, that are used to hit an object baseball or golf ball, to simplify the understanding of the mechanics and physics principles involved in their operation and differences, wherein both have a Swing Plane and other similarities. 
     A golf club has a Swing Plane, that projects through the clubhead called the Clubhead Swing Plane and whose Perimeter Line is called the Bernie Line. The Swing Plane also facilitates a Swing Plane Arc, Swing Plane Radius, Swing Plane Radius Length, and Center Of Mass Axis. The Bernie Line is the missing link in clubhead design that opens a new door in golf, wherein evolves many new reference derivations that will be identified and easily understood through analogies in this disclosure. The Clubhead Swing Plane can result in being much less skewed in this endeavor. 
     Each clubhead has its own individual Bernie Line that consists of three major subdivision lines, Sweet Line, Target Line and the Training Line. 
     The Sweet Line is located angularly on the clubhead face that contains the Central Axis Of Power offering a number of Infinite Sweet Spots that subdivides into Six Sweet Spots called the Maximum Sweet Spot, Optimum Sweet Spot, True Sweet Spot, Ground Sweet Spot, and the Tee Sweet Spot. The Six Sweet Spots can be interrelated. 
     The True Sweet Spot is associated with clubheads designed to hit a Ball Impact Point, primarily from one reference point, such as the ground, that can be any combination of the Six Sweet Spots, or of a general independent or reference nature. The True Sweet Spot can be used to strike a ball at another height if the club lie angle is altered. 
     The Sweet Line, and derivatives, can be installed on clubhead faces incorporating bulge, roll, curved, flat, otherwise or any combination thereof. Examples, the Sweet Line can incorporate bulge and roll, being called Sweet Line Horizontal Face Bulge and Sweet Line Vertical Face Roll, or having a Flat Sweet Line with the remainder of the face incorporating bulge and roll, or be flat faced, etc. 
     The angled Sweet Line is primarily referenced to two ball height resting locations, that being on the Ground or perched on a Tee, respectively called the Ground Sweet Spot and the Tee Sweet Spot, resulting in the term Two Sweet Spots, that are laterally apart necessitating a lateral movement of the clubhead alignment to the ball, that is dependant upon clubhead soling. 
     The available length on the Sweet Line to efficiently hit a ball at these two ball heights is measured from the Maximum Sweet Spot to the Ground Sweet Spot, or the Tee Sweet Spot, being respectively called the Ground Hit Line or the Tee Hit Line, that is also respectively measured vertically from the ground and called the Ground Sweet Spot Height and Tee Sweet Spot Height. The nonavailable area to hit a ball on the Sweet Line is called the Ground Dead Line or Tee Dead Line. 
     The Two Sweet Spots, Ground Sweet Spot and Tee Sweet Spot, can then be translated into vertical lines, or otherwise, on or external to the face impact area, being respectively called the face Ground Vertical Line and Tee Vertical Line, that can have the face grooves or markings referenced and designed accordingly. 
     From the Ground Vertical Line and Tee Vertical Line we can then derive top clubhead markings respectively called the Ground Target Line and Tee Target Line directions, that results in the Automatic Alignment and aiming of the clubhead to the ball with the direction of intent to the target, thus being referenced to the two ball heights. 
     Color coding can then be adapted with the Ground Target Line identified in green as the color of grass, and the Tee Target Line identified in white as in the standard color of a tee, whereby both visually indicates, and correlates to the golfer, instant and complete Color Coded Target Alignment for ball height and direction. These target direction lines can be referenced to the Target Line but may, or may not be parallel nor in straight lines, depending upon clubhead design and construction. 
     The Training Line, or associated lines, can be identified on the nonvisual, bottom or backside portion of the clubhead, that when inverted into the bag identifying that club as having the Bernie Line concepts, and is also used in club design, swing analyzing, training aid, etc. 
     The aforementioned information is applicable to all clubheads, but, if the clubhead is not soled properly, a change in the Sweet Line angulation, being either more vertical or horizontal will affect all other associated parameters, and the use of the club. To correct this situation, clubs may incorporate different parameters such as lie, press, etc., that can be generically produced within these confines by the manufacturers, or be fitted exactly to the golfers individual Sweet Line derivatives. Once a Sweet Line and its derivatives are fitted to a golfer, the odds are against anyone else using that club. Unfortunately, all past clubs have been difficult to exactly fit to a golfer because their sole is cambered, arced, soled radius, etc., which may seem flat, but is actually an illusion. 
     Each club can be optimized in use by having repeatable Flat Base soling, along with other parameters, that establishes correct face orientation and alignment of the club to the ball and target, in reference to the golfers position. By having a Flat Base clubhead, fitted to the golfers Stance Triangle with a constant Sweet Line, results in optimum benefits to the golfer, but only if that flat soling can be felt to change when not flat, that alerts the golfer that the Sweet Line has changed. 
     Thus, a further improvement of the Flat Base is to connect a Hood Point which is sharp, or curved at the toe or heel, that becomes Automatically Hooded when used in a mannerism in which it was not designed for. Hence, when another golfer tries to use that club in their own Stance Triangle it becomes Automatically Hooded. A Hood Limit prevents the clubhead from completely flopping over. 
     Golf clubs that are design to hit a ball at one height that&#39;s on the Ground coinciding with a True Sweet Spot, can facilitate a Second Base to allow hitting a ball off a Tee with Automatic Loft. 
     A Heel Base further allows the golfer to broaden the Two Sweet Spot and the Lateral Displacement of the club, conversely a Toe Base brings the Two Sweet Spots closer together reducing the Lateral Displacement. Either bases can be used for an uphill or downhill lie. 
     Moving the shaft position physically back in the clubhead, away from the face, opposite the clubhead center or any proximity thereof, is called Centerset, that can be used in clubhead weight distribution balancing. 
     Golfer eyes position, in relationship to the ball or clubhead, are normally found between vertical, and to an angular displacement of approximately thirty degrees. Conventionally woods, for example, have their crowned shaped head tops basically parallel to the ground, wherein if the Ground Target Line and or Tee Target Line are identified on these clubheads they will be distorted to the golfers eyes due to parallax and depth perception. This can be overcome with an EyeAligner that has the clubhead top, or an alignment mechanism, that faces the golfers eyes squarely, enabling him to automatically align to the ball. 
     The height of a clubhead face need not ever be higher than the equator of the ball, taking into account the balls compression and slip, loft, height, etc., unless the clubhead contacts the ground first. The height, or valley, can be concentrated in any mannerism to the Sweet Line, and called Sweet Spot Peak, that locates the optimize height of the clubhead or face with which to hit a ball. 
     Some clubs are intentionally used to make contact with the ground after ball impact. If the clubhead makes contact with the ground prior to the hit or during the dwell time, the clubhead will contort and alter the Sweet Line characteristics. This can be minimized by altering the face base of the clubhead to be sharp allowing the clubhead to Plow or Plow Through the ground that will offer minimum resistance, reduce clubhead bounce and other related stresses. The Plow can be an integral part of the Flat Base and extend into the Toe and Heel areas that will also contact the ground. 
     Since a small percentage of ball hits occur on the intended Two Sweet Spots or True Sweet Spot, clubhead design considerations are dependant upon balance clubhead parameters that relies upon influencing planes and axes within the clubhead to minimize losses. 
     There are Two Club Planes in a golf club that intersect, the Swing Plane and the Face Orientation Plane, not taking into account Control Mass or Orbital Mass that subdivides in equal masses. The Control Mass dominates from the Swing Plane to the heel, whereas the Orbital Mass dominates from the Swing Plane to the toe. The Control Mass, compared to its counterpart has less hitting area, more bell shaped with narrower sigma limits. 
     There are up to Five Clubhead Planes, Clubhead Swing Plane, Clubhead Face Orientation Plane, Clubhead Weight Distribution Plane, Ground Sweet Spot Plane, and Tee Sweet Spot Plane. 
     There are up to Five Clubhead Axes, the Center Of Gravity Axis, Clubhead Central Axis, True Sweet Spot Axis, Ground Sweet Spot Axis, and Tee Sweet Spot Axis. 
     These planes and axes are interrelated and arced during ball impact, wherein any three, or more, intersecting combinations create a master reference called the Bernie Point. 
     There are two main Power Distribution Curves, the Sweet Line Power Curve, and the Weight Distribution Face Line Power Curve that can be statistically plotted, in conjunction with the weight balancing of the Four Face Quadrants, called the upper, lower, toe and heel quadrants, with the respective curves called, for example, the Upper Toe Power Curve. The ideal resultant four quadrant bell shaped curves will be similar, less skewed, flatter, and with wide sigma levels with this patent. 
     The Clubhead Weight Distribution Plane has a Weight Distribution Face Line that has an angular limit between below horizontal and near vertical. 
     Clubhead weight distribution is of prime concern, for example, the more Lower Toe Weighting, and Less Heel Weighting, results in a more horizontal angle of the Sweet Line, that separates the Ground Target Line from the Tee Target Lines allowing more lateral movement of the clubhead between these lines, whereas, Upper Toe Weighting results in a more vertical angle that can result in the Weight Distribution Face Line being perpendicular to the Sweet Line. 
     These clubhead planes and axes divide up into eight quadrants that can form any angular relationship by weight distribution. One position will be shown when all planes and axes are at ninety degrees to each other, having better balancing forces, all in relationship with the True Sweet Spot. Another position will be shown when the Clubhead Weight Distribution Plane is horizontal. 
     Clubhead stability is enhance by a Quadrant Weight Distribution system that extends the weight not only to the sides, but also from the face to the back of the clubhead, while reference to base weighting, creating True Perimeter Weighting, otherwise known as Balanced Weighting, Split Weighting, Barbell Weighting, Seesaw Weighting, Elongated Toe Heel Weighting, or used up to an Eight Quadrant Weight Zones. The clubhead weight distribution can be at the extremities of the quadrants, away from, and balanced, in reference to the Bernie Point, with the clubhead designed accordingly. 
     When the Clubhead Face Orientation Plane is parallel to the clubhead face results in Weight Balanced Striking Power. 
     When the Clubhead Weight Distribution Axis is parallel to the clubhead face results in Balanced Weight Distribution. 
     Whereby, having the Clubhead Face Orientation Plane and the Clubhead Weight Distribution Axis back away from the face, in reference to the Swing Plane, and optimumly to the clubheads center Bernie Point results in Push Angle Reduction, or P.A.R., and the angular reduction of losses, with the ability of a clubhead miss hitting a ball to be more forgiving. 
     The Bernie Point is a variable located on the Center Of Mass Axis, and is used to determine any or all of the Six Sweet Spots. 
     The Bernie Point establishes all of the transferral of forces that are applied, in determining the resultant ball struck parameters. 
     To summarize this disclosure, when the Swing Plane is perpendicular to the Clubhead Face Orientation Plane, and perpendicular to Clubhead Weight Distribution Plane, all being perpendicular or parallel in relationship to the clubhead face, results in optimization of the Bernie Point Push Angle Reduction, and in relationship to the weight balancing of the Four Face Quadrants, and the True Sweet Spot or Two Sweet Spots face centering, whereby incorporating a Flat Base, when fitted to a golfer in his Stance Triangle, hence aligning to a ball and a target, produces the First Ultimate Golf Club design. The Second Ultimate Golf Club design is produced when the Clubhead Weight Distribution Plane is horizontal. 
     The Bernie Line and Bernie Point are the Deity in golf club design technology. 
     The invention relies on the Law of Physics that all Symmetrical and Nonsymmetrical instruments in their Dynamic Impact State have from one to an infinite number of Swing Planes and further that a symmetrical instrument Swing Plane has a Center Of Mass and Center Of Mass Axis, all within that instrument and further there is a perimeter line around each of these Swing Planes. Further the forward object striking portion of this perimeter impact line is called the Sweet Line that contains an Infinite Number of Sweet Spots or impact points with varying power levels. 
     A Nonsymmetrical instrument has a Swing Plane where the Center Of Mass Axis and Center Of Mass are within or may be external to that instruments mass, such as a golf club, which has a Swing Plane, and other planes and axes. The Swing Plane is subdivided and creates a perimeter line around the clubhead called the Bernie Line that encompasses the clubhead. The Bernie Line is subdivided into three major lines, Sweet Line, directional Target Line, and Training Line. The Sweet Line is Angular, varies between vertical and horizontal, and is the clubheads central striking axis. The Sweet Line contains a number of Infinite Sweet Spots with varying power levels, in which Six Sweet Spots are claimed, Ground Sweet Spot, Tee Sweet Spot, Maximum Sweet Spot, Optimum Sweet Spot, True Sweet Spot, and Minimum Sweet Spot. The Ground Sweet Spot and the Tee Sweet Spot are called the Two Sweet Spots that are referenced from the Maximum Sweet Spot to determine the lengths to hit a ball, called the Ground Hit Line and the Tee Hit Line. Above the Ground Sweet Spot and the Tee Sweet Spot we are unable to hit a ball, these lines are called the Ground Dead Line and the Tee Dead Line. These Two Sweet Spots can be identified to any number, but primarily to two ball heights on conventional clubs, or referenced to, and identified to any parameter change or changes. The Two Sweet Spots, are referenced to the two ball heights are the basis for determining the Ground Vertical Line and the Tee Vertical Line, and can be translated onto the top of the clubhead, respectively forming the Ground Target Line and Tee Target Line that are used to align the clubhead to the ball in the intended direction, whereby being in relationship to the Target Line and face contour. 
     The Ground Target Line and Tee Target Line connect to the Ground Training Line and the Tee Training Line, in relationship to the Training Line, that connects to the bottom of the Ground Vertical Line and the Tee Vertical Line, forming the Clubhead Ground Plane and Clubhead Tee Plane. As has been described the Ground Vertical Line and Tee Vertical Line are vertically displaced from each other requiring a later shift of the clubhead to coincide with that balls impact point height. In order to insure that the ball impact point height is constant when the ball is on a Tee a tool may be used. The true Sweet Spot can be used to identify a clubhead alignment to strike a ball at one specific height, requiring no lateral shifting of the clubhead. The Optimum Sweet Spot may or may not coincide with any of the Six Sweet Spots. The True Sweet Spot is designed to hit a ball at one height, but can facilitate a Second Base used to strike a ball at another height and have Automatic Loft. The True Sweet Spot can also be used to strike a ball at both heights, incorporating a clubhead having a Heel Base or Toe Base. The Sweet Line is controlled by the Three Triangles in golf, Stance Triangle, Club Triangle, and Alignment Triangle. The Sweet Line and derivatives exists on all clubs, that will change with parameter changes, but can be identified to each club and golfer&#39;s parameters the present invention determines the location. The Sweet Line and derivatives will not change with a clubhead having a Flat Base that is fitted to a golfer&#39;s parameters, unless the clubhead is held incorrectly, or in another plane that becomes Automatically Hooded. The Hooding can facilitate a Hood Stop. 
     The Swing Plane has a Control Mass and an Orbital Mass. The Center Of Mass Axis can be moved back away from the clubhead face by shaft relocation called Centerset, or Optimum Centerset. If the Sweet Line was vertical, no lateral shifting of the clubhead would be required to strike a ball at any height. If the Sweet Line was more horizontal, more lateral shifting of the clubhead would be required to strike a ball at a different height. The Sweet Line can incorporate Horizontal Sweet Line Bulge, Vertical Sweet Line Roll, or Flat Sweet Line. The Sweet Line height can be referenced, to establish the top height of a clubhead. The Sweet Line height can be maximized on the clubhead called a Sweet Line Peak, or any derivatives. The Sweet Line deviation is also controlled by clubhead ground contact that is minimized by bottom face edge Plow. The Ground Target Line and Tee Target Line parallax and depth perception can be eliminated by incorporating an EyeAligner on the clubhead or ball. The Ground Target Line and Tee Target Line on conventional clubheads, can incorporate an Eyes Over The Ball focusing Antiparallaxer to eliminate parallax and depth perception. 
     The Swing Plane has several planes and axes that can be related to it. The Swing Plane contains several planes including Five Clubhead Planes, Clubhead Swing Plane, Clubhead Face Orientation Plane, Clubhead Weight Distribution Plane, Ground Sweet Spot Plane, and Tee Sweet Spot Plane. The Clubhead Weight Distribution Plane is formulated by a Quadrant Weight Distribution system, consisting of Eight Quadrant Weight Zones, with a Weight Distribution Face Line. These aforementioned planes contain several axes including Five Clubhead Axes, the Center Of Gravity Axis, Clubhead Weight Distribution Axis, True Sweet Spot Axis, Ground Sweet Spot Axis, and Tee Sweet Spot Axis. These planes and axes establish the Bernie Point, that when moved back away from the clubhead face results in Push Angle Reduction, otherwise known as P.A.R. The Bernie Point and all related planes and axes, relate to the Impact Swing Radius Arc and Impact Swing Radius Length. The Weight Distribution Face Line has two main Power Distribution Curves, the Sweet Line Power Curve, and the Weight Distribution Face Line Power Curve, in conjunction with Four Face Quadrants. The Sweet Line Angulation is primarily affected by Lower Toe Weighting, Extended Upper Toe Weighting and the Clubhead Weight Distribution Plane that when the Swing Plane Clubhead Face Orientation Plane and Clubhead Weight Distribution Plane are at right angles to each other, creates a Bernie Point. When the Swing Plane is perpendicular to the clubhead face, the result is an optimization of the Bernie Point and Push Angle Reduction. Henceforth incorporating Centerset and in relationship to the Quadrant Weight Distribution and the True Sweet Spot or Two Sweet Spots in consideration to face centering, whereby incorporating a Flat Base and fitting that golf club to a golfer in his Stance Triangle whereby aligning the correct Ground Vertical Line or the Tee Vertical Line in conjunction with a Target Line derivative to a ball, produces the First Ultimate Golf Club design. 
     All of the relationships to Clubhead Weight Distribution Plane when horizontal, results in the Second Ultimate Golf Club design. The Sweet Spot and its related Center Of Gravity terminology known throughout the centuries has been true but only applicable to a golf club Head without its components, and must be distinguished between New Technology, because it is not true and not applicable in use to a complete golf club, with all of its components, which requires New Terminology such as True Sweet Spot and Two Sweet Spots. 
     While the invention will be described in connection with a preferred embodiment, it will be understood that I do not intend to limit the invention to that embodiment. On the contrary, I intend to cover all alternatives, modifications and equivalents as may be included within the spirit and scope of the invention as defined by the appended claims. 
    
    
     BRIEF DESCRIPTION OF DRAWINGS 
     FIG. 1 is a perspective and interior view of a golf club wood, with a Shaft Grip Centerline  42 , showing swing plane  1 , club head swing plane  29 , center of mass axis  3 , and alignment lines including: Bernie line  2 ; Sweet line  4 , with 4* indicating the length; Target line  5 , with 5* indicating the length; Ground Vertical line  12 ; Tee Vertical line  13 ; Ground Target line  14 ; Tee Target line  15 ; Perimeter line  28 ; and Training line  31 . Also shown is Maximum Sweet Spot  16 , Control Mass  20 , Orbital Mass  21 , Flat base  23 , Bernie Point  30 , Flat face  50  and Center of Mass  66 . 
     FIG. 2 is a perspective and interior view of a baseball bat with a swing plane and compositions. Shown are Optimum Sweet Spot  17 , Swing Plane Arc  27  and Swing Plane Radius  36 . 
     FIG. 3 is a side view of an iron clubhead to a ball on the ground, impact point relationship and Flat Base. Shown are Ground  6 , Ball Ground Height  8 , Ball Impact Point  9 , Ground Sweet Spot  10 , 10* being Ground Sweet Spot Height, Ball Diameter  37  and Ball Set Point  38 . 
     FIG. 4 is a side view of an iron clubhead to ball on a tee, impact point relationship. Shown are Ball Tee height  7 , and Tee Sweet Spot  11 , with 11* showing Tee Sweet Spot Height. 
     FIG. 5 is a front view of an iron embodying the present invention. Shown are 10** indicates Ground Hit Line, 10*** indicates Ground Dead Line, 11** indicates Tee Hit Line, 11*** indicates Tee Dead Line, Hood  24 , Hood Stop  25 , True Sweet Spot  26 , Hood Point  32 , Sweet Line Height  33 , Sweet Line Peak  34 , Eyealigner  59 , and Conventional Iron  67 . Sweet Line Height  33 , Sweet Line Peak  34 , Eyealigner  59 , and Conventional Iron  67 . 
     FIG. 6 is a perspective view of a conventional wood head. Shown are Sweet Spot  22 , Sweet Spot Alignment Spot  35 , Horizontal Face Bulge  64  and Face Bulge  65 . 
     FIG. 7 is a perspective view of a novel wood clubhead. Shown are Lower Toe Weight  18 , Upper Toe Weight  19 , Sweet Line Horizontal Face Bulge  39 , Sweet Line Face Vertical Roll  40 , Heel Base  47 , Centerset  48 , Plow  49  and Toe Base  61 . 
     FIG. 8 is a perspective and interior view of a partially embodied wood clubhead with planes and axes correlation to a Weight Distribution Face line parallel to a Flat Base. Shown are Second Base  43 , Face Orientation Plane  51 , Clubhead Face Orientation Plane  52 , Weight Distribution Plane  53 , Weight Distribution Axis  54 , True Sweet Spot Axis  55 , Ground Sweet Spot Axis  56 , Tee Sweet Spot Axis  57  and Weight Distribution Face Line  58 . 
     FIG. 9 is a perspective and interior view of a partially embodied wood clubhead with an EyeAligner, perpendicular planes and axes correlation. Shown is Maximum Ball Compression Area  60 . 
     FIG. 10 shows a perspective view of the RighTee-HeighTee tool  78 , indicating Adjustable Tee Height  45 , Hinged Foldup  46 , Ball Mark Repair Tool  62 , Ball Marker  63 , Groove Cleaner  69 , Clubhead Face Cleaning Pad  70  and Tee Head Retainer  71 . 
     FIG. 11, illustrates the Dynamic Clubhead Impacting To The Golf Ball Method. Shown are A Golf Club  71 , Spherical Quadrant Shifter  72  and a Club Torque Responder  73 . 
     FIG. 12, illustrates the Static Clubhead Loft Angle Plumb Bobbing Method. Shown is Plumb Bob  74 . 
     FIG. 13, illustrates the Static Horizontal Clubhead Face Balancing Method. Shown are the Club Grip End  75 , a Level Platform  76 , the Clubhead Face  79  and the Sweet Line Locator Tool  77 . 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT 
     The detailed embodiments of the present invention are disclosed herein. It should be understood, however, that these embodiments are merely a model of the invention, which may be embodied in various forms, means, and use. The details disclosed herein are not to be interpreted as limited, but merely as the basis for the claims and derivatives thereof. 
     The past acknowledgment of a Golf Clubhead Sweet Spot is now transcended by revealing the existence of Two Sweet Spots on golf clubs that will be shown to have a Swing Plane with a Perimeter Line around each clubhead, called the Bernie Line, that is found during Dynamic Impact State Testing by recently developed scientific equipment by the inventor. From the Bernie Line we derive the following, an angled clubhead face Sweet Line containing one to a number of Infinite Sweet Spots impact points, with primarily Six Sweet Spots, consisting of Two Sweet Spots that are dominant in determining where to hit a ball from, either on the Ground or off the Tee, wherein are derived top directional Target Lines, with an EyeAligner to align the eyes square to the clubhead and the ball, in the direction of intent, that necessitates a lateral shifting of the clubhead to that balls aforementioned, or any other height, wherein incorporating the means of locating a True Sweet Spot, on a clubhead used to hit a ball only at one height, with the advantage of a Second Base for two ball heights, and a Training Line. The Bernie Line, and its derivatives, will be the basis of invention, with associated aids in the partnership of the golf clubhead to the ball and target by using Three Triangles, relative to clubhead Soling, planes and axes, Push Angle Reduction, Sweet Line Horizontal Bulge and Vertical Roll, with a Hood feature. 
     FIG. 2, illustrates a Symmetrical shape baseball bat in its Dynamic State, showing a Swing Plane  1 , that represents one of an infinite number of identical cross sectional areas entirely within the instrument itself, if it is rotated. 
     When the bat is swung, and upon Dynamic Impact to a ball hit optimumly square at any location, results in a real Swing Plane  1 , having a Perimeter Line  28 , around that plane that is also called a Bernie Line  2 , with a Center Of Mass Axis, C.O.M.A.  3 , which is also interrelated with and known as the Center Of Gravity Axis, C.O.G.A. The forward or contact portion of the Bernie Line  2 , is called the Sweet Line  4 , which offers an infinite number of bat impact points, or Infinite Sweet Spots, that applies varying energy levels to the ball being struck, identifying a Maximum Sweet Spot  16 , and an Optimum Sweet Spot  17 . 
     The Maximum Sweet Spot  16 , is a point on the end of the bat offering maximum power and control for the direction of intent, that may never be facilitated because of the ball diameter. 
     The Optimum Sweet Spot  17 , is a point on the bat that takes into regards many parameters including Swing Plane  1 , Swing Plane Arc  27 , and Swing Plane Radius  36 , that is dependant upon the object or ball diameter, compression, etc., wherein hitting the ball square, results in optimum power and control for the direction of intent. 
     FIG. 1, illustrates a nonsymmetrical shape clubhead with the shaft and grip being replaced by their center line Center Grip Shaft  42 , as is also indicated on FIGS. 3,  4 ,  5 ,  7  and  8 , that illustrates only the clubhead. 
     A golf club contains only one main Swing Plane  1 , shown in slash lines, that does not stay within the instrument but extends from the grip top point O, going through free space, forming a Perimeter Line  28 , encompassing the surface of the clubhead creating a subdivision on the clubhead called the Bernie Line  2 , also shown in dash lines within and external to the face impact area, that encompasses a Clubhead Swing Plane  29 , shown with double slash lines. 
     The Swing Plane  1 , has a Center Of Mass Axis  3 , and a Center of Mass  66 , that is located in free space. 
     The Bernie Point  30 , is the master design point, whereby the further back away from the face results in Push Angle Reduction or P.A.R. 
     The P represents the upper grip and shaft direction of forward or negative Press Deviation, in relationship to the hole, with the clubhead in one position aligned to an imaginary ball. 
     The Bernie Line  2 , then subdivides into three basic interconnecting reference lines on the clubhead being identified as the Sweet Line  4 , Target Line  5 , on the top, and the Training Line  31 , on all the other clubhead surfaces, rear and bottom. 
     The Sweet Line  4 , is an angled line across the clubhead face that contains a number of Infinite Sweet Spots in which to hit a ball like the aforementioned baseball bat, that applies varying levels of power to the ball being struck. The length of this line is called the Sweet Line Length 4*. The Target Line  5 , is a design reference that is used to interpolate the clubhead alignment to the ball in the Target Direction, at different locations on the clubhead Sweet Line  4 , that will be dependant upon ball height that will be shown. Shown is Target Line Length 5* and Flat Face  50 . 
     The Maximum Sweet Spot is shown as  16 . Flat Base  23  is derived by a plane established by minimum points. Half of the subdivision of mass is called the Control Mass  20 , with the other half mass called the Orbital Mass  21 , on either side of the Swing Plane  1 . 
     FIG. 3, shows the Maximum Sweet Spot  16 , and the varying Optimum Sweet Spot  17 , having a Ball Diameter  37 , with the Ball Height  8 , measured from the ball resting on the Ground  6 . 
     FIG. 4, shows the ball elevated on a Tee with Ball Tee Height  7 , measured from the ball resting on the Ground  6 . 
     FIGS. 3 and 4, illustrates a typical clubhead shown is a Flat Face iron  50 , that is aligned to a ball, in relationship to two different ball heights that will strike a ball at the same Ball Impact Point  9 , which is not true for curved face clubheads as shown in FIG. 6, with Horizontal Face Bulge  64 , and Vertical Face Roll  65 . 
     These figures also illustrate that a balls height can be changed from the Ground to on a Tee, at one specific location point called the Ball Set Point  38 . Thusly, when comparing these figures to the clubheads alignment to the Ball Impact Point  9 , with face impact points FIG. 3 Ground Sweet Spot  10  and FIG. 4 Tee Sweet Spot  11 , illustrating that these clubhead impact points change accordance with ball height. The heights of these face impact points are measured from Ground  6 , and in FIG. 3 called the Ground Sweet Spot Height 10*, and in FIG. 4 called the Tee Sweet Spot Height 11*, with both heights then being transferred to FIG.  5 . 
     FIG. 5, shows the Ground Sweet Spot Height 10*, and Tee Sweet Spot Height 11*, that are now represented as horizontal lines intersecting the Sweet Line  4 , respectively at Ground Sweet Spot  10 , and Tee Sweet Spot  11 , that clearly illustrates and proves that a change in ball height at one location, re. FIGS. 3 and 4 Ball Set Point  38  on the Ground  6 , requires a lateral shifting of the clubhead for it to strike a ball on the angled Sweet Line  4 , thusly establishing Two Sweet Spots, whereby bidding Adios to one sweet spot. 
     Vertical lines are then identified on the clubhead face impact area intersecting with the Ground Sweet Spot  10  and the Tee Sweet Spot  11 , respectively being called the Ground Vertical Line  12  and Tee Vertical Line  13 , that can then be extended external to the face impact area on this Iron, or any clubhead as shown in FIG.  1 . 
     FIG. 1, Ground Vertical Line  12 , and Tee Vertical Line  13 , are shown on a Wood, that are now translated to the top of the clubhead and identified respectively as, the Ground Target Line  14  and the Tee Target Line  15 , that results in the correct orientation of the clubhead to a ball, at either height, toward the direction of intent. These Target Lines are applicable to all golf clubs 
     FIG. 5, shows a conventional Iron  67 , with the striking face area concentrated at the toe of the clubhead, Minimum Sweet Spot  44 . The Ground Hit Line length 10**, and the Tee Hit Line length 11**, is the only available striking length where the ball normally can be struck, on the Sweet Line  4 , whereas above the Ground Sweet Spot  10  and the Tee Sweet Spot  11 , are respectively called the no hit lines or Ground Dead Line 10**, and the Tee Dead Line 11***, that can not be facilitated unless the clubhead makes contact with the ground first, or the ball is on an incline height which alters the lateral shifting of the clubhead. A ball can be struck below points  10  and  11  by elevation of the clubhead or if the ball is embedded, which also requires a lateral shifting to maintain impact on the Sweet Line  4 . FIG. 5 validates maximized clubhead height in relationship to the Sweet Line  4 . FIG. 5 also shows the Maximum Sweet Spot  16 , and the True Sweet Spot  26 , shown between the Ground Sweet Spot  10  and the Tee Sweet Spot  11 . 
     Clubheads designed with a Low or Shallow Height using only one specific height parameter from where a ball is to be hit from, for example on the ground, need not necessarily facilitate Ground Sweet Spot  10  or Tee Sweet Spot  11  terminology, that can be more accurately renamed by using the factual Sweet Line principle of determination and called the True Sweet Spot  26 . 
     The Tee Sweet Spot  11 , distance to the Maximum Sweet Spot  16 , offers more available Sweet Line to hit the ball compared to the Ground Sweet Spot  10 . 
     Shown is a clubhead with Flat Base  23 , so as when the lie angle is decreased to beyond Hood Point  32  at the heel, the clubhead will Hood or Automatically Hood  24 , wherein incorporating a limit called Hood Stop  25 , with the converse being applicable to the toe with an increasing lie angle. This Hooding alerts the golfer that his Two Sweet Spots references have shifted and requires remedial action. 
     Also shown is the Sweet Line Height  33 , as being the maximum or reference height of the club, oppose to having the maximum height at the toe where the ball is not intentionally hit. The Ground Vertical Line  12 , and the Tee Vertical Line  13 , can also be applied to clubhead height, such as with the Two Sweet Spots Peak or Sweet Line Peak  34 , offering increased clubhead face striking area where the ball should be hit, being applicable to Shallow Height clubs and called the True Sweet Spot Peak. 
     The EyeAligner  59  is a backup mechanism to the Flat Base that alerts the golfers that something is out of position, including the way that he&#39;s holding the club. 
     FIG. 5, shows Ground Sweet Spot  10 , that is a constant, whereas the Tee Sweet Spot  11 , is a variable caused by golfers inconsistency of Tee height during its installation, that results in Tee Target Line error. To establish a constant Tee Sweet Spot  11 , the tee must be installed into the ground at the same height each time. To accomplish this, FIG. 10 shows a RighTEE-HeighTEE tool  78 , with Adjustable Tee Height  45 , that can be facilitated to each golfers Tee ball height in direct correlation to the Tee Sweet Spot  11 . This versatile RighTEE-HeighTEE tool incorporates a Hinged Foldup  46 , for compactness, with the bottom used as a Ball Mark Repair Tool  62 , a Ball Marker  63 , Groove Cleaner  69 , Clubhead Face Cleaning Pad  70 , and a Tee Head Retainer  71  to prevent Tee slippage during installation. The tool can be modified to incorporate a Tee with a Ball combination. 
     FIG. 6, shows past conventional Wood Head, without its grip and shaft components, that this patent does acknowledge as having a Sweet Spot  22 , a Sweet Spot Alignment Mark  35 , that is normally a point indicator, line, name or no markings at all, with Horizontal Face Bulge  64  and Vertical Face Roll  65 , constructed around this Sweet Spot  22 , or in conjunction with the Head center of gravity. Alas, designing a clubhead without its components has been golf Tunnel Vision and nemesis for centuries, until now. 
     FIG. 7, shows a slightly modified conventional clubhead with Flat Base  23 , Heel Base  47 , and Toe Base  61 , incorporated in conjunction to controlling vertical or horizontal positioning of the Sweet Line. Also shown is the convexness of Sweet Line Horizontal Face Bulge  39 , and Sweet Line Face Vertical Roll  40 , incorporated into Sweet Line  4 . Shown is Lower Toe Weighting  18 , and Upper Toe Weighting  19 , Sweet Line Peak  34 , CenterSet  48 , Plow  49 , and EyeAligner  59 . 
     FIGS. 8 and 9 illustrates that there are several planes and axes that relates directly to this disclosures Two Sweet Spot technology, with interaction phenomena showing the versatility of concept. 
     FIG. 8, shows another slightly modified conventional clubhead incorporating, Sweet Line  4 , Ground Sweet Spot  10 , Tee Sweet Spot  11 , and True Sweet Spot  26 . Also shown is Second Base  43 , for automatic loft and ball height control that can be in relationship with EyeAligner  59  as shown on FIG.  9 . 
     FIG. 8 shows Swing Plane  1 , and Face Orientation Plane  51 . Also shows the Five Clubhead Axes, Center Of Gravity Axis  3 , True Sweet Spot Axis  55 , Ground Sweet Spot Axis  56 , Tee Sweet Spot Axis  57 , and Clubhead Weight Distribution Axis  54 . 
     The intersection of three planes, Clubhead Swing Plane, Clubhead Face Orientation Plane, Clubhead Weight Distribution Plane, or related axes, is called the Bernie Point  30 . 
     FIG. 8, shows three of the Five Clubhead Planes, Clubhead Swing Plane  29 , Clubhead Face Orientation Plane  52 , and Clubhead Weight Distribution Plane  53 , with a Clubhead Weight Distribution Face Line  58  shown parallel and horizontal to the Flat Base for ball impact regulation when at one height along this line, affording a more horizontal Sweet Line for increased lateral movement between Two Sweet Spots, and alternate base weighting considerations, while incorporating CenterSet to move the Bernie Point  30  back to optimize Push Angle Reduction. 
     FIG. 9 shows EyeAligner  59 , having the top of the clubhead in line with the golfers eyes for target alignment that eliminates parallax and depth perception, resulting in optimum viewing of the target lines, and its range limits called Target Line Range Limits  68 , reference to the Sweet Line  4 . 
     Shows Maximum Ball Compression Areas  60 , equidistant upon the Sweet Line axis subdivided by the Clubhead Weight Distribution Plane  53 , with overlapping characteristics for balanced quadrant weighting in reference to two ball heights. 
     The Clubhead comprises the Weight Distribution Face Line  58 , and Clubhead Weight Distribution Plane  53 , that is perpendicular to the Sweet Line  4 , and angled from horizontal because of Upper Toe Weighting  19 , that results in the alignment the Clubhead Face Orientation Plane parallel to the Flat Face  50  while centered in the clubhead due to CenterSet  48 , with the Center Of Mass Axis  3 , whereby all planes and axes are ninety degrees in relationship to each other, intersecting at the Bernie Point  30 , produces balanced quadrant weighting and ultimate ball control for hitting it at alternate heights. 
     Their are four basic methods of locating the Bernie Lines Sweet Line and its derivatives, the Dynamic Clubhead Impacting To The Golf Ball Method, Dynamic Golf Ball Impacting To The Clubhead Method, Static Clubhead Loft Angle Plumb Bobbing Method, and the Static Horizontal Clubhead Face Balancing Method. 
     FIG. 11, shows the Dynamic Clubhead Impacting To The Golf Ball Method, that is accomplished by Swinging A Golf Club  71 , to strike a series of stationary balls at different positions and heights whose location is controlled by a Spherical Quadrant Shifter  72 , that can also be adapted to the club, with the club incorporating a Club Torque Responder  73 , to measure Sweet Line off or on hits, with related derivatives and data that can be extracted for graphic and statistical analysis for clubhead design. This method can be reversed, by the striking a stationary clubhead with a moving ball called the Dynamic Golf Ball Impacting To The Clubhead Method. 
     FIG. 12, shows the Static Clubhead Loft Angle Plumb Bobbing Method, that is accomplished by suspending the golf club vertically from the center top of the grip and suspending a Plumb Bob  74 , that will not result in the correct Sweet Line, unless the clubhead face loft angle, Horizontal Face Bulge and Vertical Face Roll are taken into consideration. 
     FIG. 13, shows the Static Horizontal Clubhead Face Balancing Method, that is accomplished by having the Club Grip End  75 , resting on a Level Platform  76 , with the Clubhead Face  79 , resting on a Sweet Line Locator Tool  77 , with the tool having an adjustable height vertical gauge whose top can be pointed, horizontally flat or contoured to match the Clubhead Face  79 , wherein contacts the horizontal face at balance points simulating where a ball should be hit, or otherwise. 
     Once the Sweet Line is derived by any of the aforementioned methods, the Target Lines can be determined geometrically, or by a precipitous relationship, to any ball impact point. 
     From the foregoing description it will be apparent that modifications can be made to the apparatus without departing from the teaching of the present invention. Accordingly, it is distinctly understood that the invention is not limited to the preferred embodiment but may be embodied and practiced within the scope of the following claims.