Abstract:
A skylight window dormer for installation on a pitched roof or sloped surface. The skylight window dormer is constructed form a plurality of triangular shaped or elliptically curved panels joined to form a dormer type structure that provides panoramic viewing and additional headroom in tightly enclosed interior spaces. The skylight window dormer is installed using a similar method as conventional skylights and is, thus, combining the efficiency of installing a conventional skylight with the benefits of additional space provided by a conventional dormer.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims priority to application No. 61/812,044 filed on Apr. 15, 2013, which is currently pending. The patent application identified above is incorporated herein by reference in its entirety to provide continuity of disclosure. 
    
    
     FIELD OF THE INVENTION 
     This application relates to a skylight window having a substantially trapezoidal or ellipsoid shape to form a dormer when installed on a conventional pitched roof. 
     BACKGROUND OF THE INVENTION 
     Skylight windows are widely used in day lighting design in residential and commercial buildings to provide natural light through a roof of a structure. Conventional skylights normally have a perimeter frame that is rectangular with one or more pane of glass mounted within the frame and lay parallel to a pitched roof. Such conventional skylights have a drawback in that the collection of light is limited by the placement of the sky light on a side or exposure of a pitched roof in relation to the placement of the sun during the day. In addition, conventional flat skylights do not provide additional space in attic rooms wherein the ceiling is also the roof. Regarding dormers, conventional dormers do provide additional space in attic rooms. However, conventional dormers are even more limited with the collection of natural light in relation to the position of the sun and the side of a structure on which the conventional dormer is located on. 
     Therefore, a need exists for a skylight window having a plurality of translucent or transparent panels configured to create a trapezoidal shape in relation to a pitched roof, thereby creating a skylight window that is capable of collecting a greater amount of natural light than a conventional skylight while also providing addition space like a conventional dormer. 
     The relevant prior art includes the following references: 
     
       
         
               
               
               
               
             
               
             
               
               
               
               
             
               
             
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 Pat. No. 
                 Inventor 
                 Issue/Publication Date 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                 (U.S. Patent References) 
               
             
          
           
               
                   
                 3,844,087 
                 Schultz et al. 
                 Oct. 29, 1974 
               
               
                   
                 4,114,331 
                 Sukolics 
                 Sep. 19, 1978 
               
               
                   
                 4,548,006 
                 Roberts, Sr. 
                 Oct. 22, 1985 
               
               
                   
                 4,577,619 
                 Howe, Jr. 
                 Mar. 25, 1986 
               
               
                   
                 4,672,774 
                 Rasmussen 
                 Jun. 16, 1987 
               
               
                   
                 4,665,964 
                 Zommers 
                 May 19, 1987 
               
               
                   
                 4,823,525 
                 Roberts et al. 
                 Apr. 25, 1989 
               
               
                   
                 4,917,167 
                 Voss et al. 
                 Apr. 17, 1990 
               
               
                   
                 5,094,040 
                 Bunka 
                 Mar. 10, 1992 
               
               
                   
                 D336,527 
                 Cole 
                 Jun. 15, 1993 
               
               
                   
                 5,596,848 
                 Lynch 
                 Jan. 28, 1997 
               
               
                   
                 5,913,785 
                 Moller et al. 
                 Jun. 22, 1999 
               
               
                   
                 D432,667 
                 Moller 
                 Oct. 24, 2000 
               
               
                   
                 6,138,738 
                 Moller et al. 
                 Oct. 31, 2000 
               
               
                   
                 D582,054 
                 Moller et al. 
                 Dec. 2, 2008 
               
               
                   
                 D582,055 
                 Moller et al. 
                 Dec. 2, 2008 
               
               
                   
                 D617,007 
                 Kjaergaard et al. 
                 Jun. 1, 2010 
               
               
                   
                 D617,008 
                 Kjaergaard et al. 
                 Jun. 1, 2010 
               
             
          
           
               
                 (Foreign Patent References) 
               
             
          
           
               
                   
                 EP0702769 
                 Abraham et al. 
                 Jan. 21, 1998 
               
               
                   
                   
               
             
          
         
       
     
     SUMMARY OF THE INVENTION 
     The primary object of the present invention is to provide a skylight window having a plurality of translucent or transparent panels configured to create a trapezoidal shape in relation to a pitched roof, thereby creating a skylight window that is capable of collecting a greater amount of natural light than a conventional skylight while also providing additional space of a conventional dormer. 
     An additional object of the present invention is to provide a skylight window having a plurality of translucent or transparent panels configured to create an elliptically curved shape in relation to a pitched roof, thereby creating a skylight window that is capable of collecting a greater amount of natural light than a conventional skylight while also providing additional space of a conventional dormer 
     The present invention fulfills the above and other objects by providing a trapezoidal skylight window dormer having four transparent and/or translucent panels made of glass, plastic or equivalent material and configured into a pitched, trapezoidal skylight with an angled, trapezoidal window to form a dormer type structure which can be installed on a conventionally framed, pitched roof of a structure. A pitch of a roof on which the present invention is being installed is preferably greater than 6:12 and less than 12:12. 
     The four panels forming the trapezoidal skylight window dormer of the present invention are triangular shaped with two of the panels being upper panels having identical shapes and forming a roof or upper surface of the trapezoidal skylight window dormer and two lower front panels, also having identical shapes that are angled in relation to each other, forming window or front surface. The panels are assembled in a framework, made of rigid material, such as metal, wood and so forth, and sealed in the framework to provide structural integrity and weather tightness. A lower free edge of the skylight window dormer is secured to a base frame which in turn is fitted and secured to a host roof. The junction of the skylight window dormer base and host roof is preferably flashed to provide a weather tight seal and trim, such as a metal trim, installed over the flashing to complete the installation. The interior portion of the skylight window dormer and ceiling may then be finished with conventional materials, such as wood trim. 
     Alternatively, the present invention fulfills the above and other objects by providing an elliptically curved skylight window dormer of two transparent and/or translucent panels, constructed from glass, plastic and so forth, configured to integrate a pitched, elliptically curved skylight with an similarly curved window to form a dormer type structure which can be installed on a conventionally framed, pitched roof of a structure. A pitch of a roof on which the present invention is being installed is preferably greater than 6:12 and less than 12:12. 
     The two panels forming the elliptically curved skylight window dormer of the present invention are elliptically shaped with an upper panel, having an elliptical curved shaped, forming a roof or upper surface of the elliptically curved skylight window dormer and a front panel, also having an elliptical curved shaped, forming window or front surface. The panels are assembled in a framework, made of rigid material, such as metal, wood and so forth, and sealed in the framework to provide structural integrity and weather tightness. A lower free edge of the skylight window dormer is secured to a base frame which in turn is fitted and secured to a host roof. The junction of the skylight window dormer base and host roof is preferably flashed to provide a weather tight seal and trim, such as a metal trim, installed over the flashing to complete the installation. The interior portion of the skylight window dormer and ceiling may then be finished with conventional materials, such as wood trim. 
     The above and other objects, features and advantages of the present invention should become even more readily apparent to those skilled in the art upon a reading of the following detailed description in conjunction with the drawings wherein there is shown and described illustrative embodiments of the invention. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       In the following detailed description, reference will be made to the attached drawings in which: 
         FIG. 1  is an angled skylight window dormer installed on a pitched host roof having an angled slope; 
         FIG. 2  is a side view of a skylight window dormer of the present invention; 
         FIG. 3  is a top view of a skylight window dormer of the present invention; 
         FIG. 4  is an opposing side view to  FIG. 1  of a skylight window dormer of the present invention; 
         FIG. 5  is a perspective top view of a skylight window dormer of the present invention; 
         FIG. 6  is front view of a skylight window dormer of the present invention; 
         FIG. 7  is a cross section along lines A-A of  FIG. 5 ; 
         FIG. 8  is a cross section along lines C-C of  FIG. 2 ; 
         FIG. 9  is a cross section along lines B-B of  FIG. 5 ; 
         FIG. 10  is a top view of an upper panel of the present invention; 
         FIG. 11  is a front view of a front panel of the present invention; 
         FIG. 12  is a plan for developing the present invention from a flat plastic sheet showing the angles required to create a monolithic three dimensional assembly from the flat plastic sheet material; 
         FIG. 13  is a detail view of a typical panel to host roof assembly; 
         FIG. 14  is a detail view of a typical panel to panel connector; 
         FIG. 15  is a detail view of a typical panel to panel connector cut along line A-A of  FIG. 14  and inverted to form an angled connector; 
         FIG. 16  is an elliptical skylight window dormer installed on a pitched host roof having an angled slope; 
         FIG. 17  is a side view of a skylight window dormer of the present invention; 
         FIG. 18  is a top view of a skylight window dormer of the present invention; 
         FIG. 19  is an opposing side view to  FIG. 17  of a skylight window dormer of the present invention; 
         FIG. 20  is a perspective top view of a skylight window dormer of the present invention; 
         FIG. 21  is front view of a skylight window dormer of the present invention; 
         FIG. 22  is a cross section along lines C-C of  FIG. 17 ; 
         FIG. 23  is a cross section along lines A-A of  FIG. 19 ; 
         FIG. 24  is a cross section along lines B-B of  FIG. 19 ; 
         FIG. 25  is a front window plan for developing the present invention from a flat plastic sheet showing the angles required to create a monolithic three dimensional assembly from the flat plastic sheet material; 
         FIG. 26  is an upper window plan for developing the present invention from a flat plastic sheet showing the angles required to create a monolithic three dimensional assembly from the flat plastic sheet material; 
         FIG. 27  is an exploded detail view of connector plates for connecting panels during pre unit assembly; 
         FIG. 28  is a detail view of connector plates for connecting panels clamped together during unit assembly; 
         FIG. 29  is a detail view of connector plates for connecting panels clamped together and covered during post unit assembly; 
         FIG. 30  is a side view of a skylight window dormer installed on a pitched host roof having an angled slope; 
         FIG. 31  is a detail view of a typical panel to host roof assembly; 
         FIG. 32  is a cross section along lines C-C of  FIG. 30 ; 
         FIG. 33  is a cross section along lines D-D of  FIG. 32 ; 
         FIG. 34  is a cross section along lines E-E of  FIG. 32 ; and 
         FIG. 35  is a cross section along lines F-F of  FIG. 32 . 
     
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     For purposes of describing the preferred embodiment, the terminology used in reference to the numbered components in the drawings is as follows:
           1 . skylight window dormer, generally     2 . pitched host roof     3 . upper panel     4 . front edge of upper panel     5 . rear edge of upper panel     6 . upper edge of upper panel     7 . roof window     8 . upper central axis     9 . front panel     10 . front edge of front panel     11 . upper edge of front panel     12 . lower edge of front panel     13 . vertical window     14 . front central axis     15 . sill     16 . cover     17 . flashing     18 . host roof/wall/framing     19 . shim     20 . connector     21 . flange     22 . cut line     23 . spline     24 . connector plate     25 . clamp       

     With reference to  FIG. 1-11 , the skylight window dormer  1  comprises two upper panels  3  having substantially identical triangular shapes. Each upper panel  3  comprises a front edge  4 , a rear edge  5  and an upper edge  6 . Said two upper panels  3  are joined along said upper edges  6  to form a roof window  7  having an upper central axis  8 . Said rear edges  5  of said two upper panels  3  have a slope that is substantially equal to a slope of the pitched host roof  2  when the skylight window dormer  1  is installed on the pitched host roof  2  and the rear edges  5  of said two upper panels  3  are joined to the pitched host roof  2 . Two front panels  9 , having substantially identical triangular shapes, each comprise a front edge  10 , an upper edge  11  and a lower edge  12 . Said two front panels  9  are joined along said front edges  10  to form a vertical window  13  having a front central axis  14 . Said lower edges  12  of said two front panels  9  have a slope that is substantially equal to the slope of the pitched host roof  2  when the skylight window dormer  1  is installed on the pitched host roof  2  and the lower edges  12  of said two front panels  9  are joined to the pitched host roof  2 . Said upper edges  11  of said two front panels  9  are joined to said front edges  4  of said two upper panels  3  to form a substantially trapezoidal-shaped skylight window dormer  1  with said central axis  8  and front axis  14  meeting to form a substantially ninety degree angle. 
     Upper panels of the skylight window dormer are identical isosceles triangles joined at a base and inverted to form two upper surfaces at a horizontal ridge line located along a center line of the skylight window dormer. The upper panels are sloped to match an angle of a host roof angle (α) or some other roof angle (β), preferably between 26 degrees and 45 degrees. The horizontal ridge line extends from the host roof to the upper vertical corner of the skylight window creating length (L) of the skylight window dormer. 
     Front panels  9  are also identical isosceles triangles joined at their base and rotated 90 degrees to form a vertical window and a vertical corner at a front edge of the skylight window dormer that runs where the two front panels abut against each other. The front panels intersect at an angle (2γ) which is a function of the width (W) and length (L) of the skylight window dormer. The front panels extend from the host roof to a corner line of the skylight window dormer where upper edges of the front panels abut front edges of the upper panels, thereby creating the height (H) of the skylight window dormer window. 
     The width of the skylight window dormer (W) is a function of the upper panel roof angle (β) in relation to the height (H) of the skylight window dormer. Either height (H) OR length (L) of the skylight window dormer is selected to suit the desired size and the remaining parameter is determined by the host roof slope (s)=H/L. 
     Horizontal roof ridge line and vertical window corner line of the skylight window dormer are orthogonal. Roof assembly and window assembly of the skylight window dormer intersect in a plane sloped (α) degrees from horizontal. 
     The equal sides of all isosceles triangles are the same dimension (f). Fully assembled, the four panels of the skylight window dormer intersect such that all lower edges of the panels are all in the same plane which is integrated into the plane or pitch of the host roof by a base assembly. 
     The form of the skylight window dormer is an oblique tetrahedron with a rhombus or diamond shaped base. 
     The following are formulas and an examples for constructing and installing a skylight window dormer of the present invention on a pitched roof or other sloped surface. 
     
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 a = select to suit 
                 tan α = host roof slope 
               
               
                   
                 b = a tan α 
                 tan β = b/d 
               
               
                   
                 c = a (1 + tan 2 α) 1/2   
                 tan δ = d/c 
               
               
                   
                 d = select to suit 
                 sin δ = d/f 
               
               
                   
                 e = d (1 + tan 2 β) 1/2   
                 tan γ = d/a 
               
               
                   
                 f = (c 2  + d 2 ) 1/2   
                 tan ρ = tanα/sinδ 
               
               
                   
                 g = a (1 + tan 2 γ) 1/2   
                 tan φ = 1/(tanα sin δ) 
               
               
                   
                 Host Roof Slope = rise/run 
                 tan λ 1  = 1/tanφ = tanα sinδ 
               
               
                   
                   
                 tan λ 2  = 1/tan ρ = sinδ/tan α 
               
               
                   
                   
               
             
          
         
       
     
     EXAMPLE 1 
     
       
         
               
               
               
             
           
               
                   
               
             
             
               
                 a = 6.00 
                 tan α = .5833 
                 α = 30.24 
               
               
                 b = 6.00 × .5833 = 3.50 
                 tan β = 3.50/6.00 = .5833 
                 β = 30.24 
               
               
                 c = 6.00(1 + .5833 2 ) 1/2  = 6.95 
                 tanδ = 6.00/6.95 = .8633 
                 δ = 40.80 
               
               
                 d = 6.00 
                 sin δ = 6.00/9.18 = .6536 
                 δ = 40.80 
               
               
                 e = 6.00(1 + .5833 2 ) 1/2  = 6.95 
                 tan γ = 6.00/6.00 = 1.000 
                 γ = 45.00 
               
               
                 f = (48.30 + 36.00) 1/2  = 9.18 
                 tan ρ = .5833/.6536 = .8924 
                 ρ = 41.75 
               
               
                 g = 6.00(1 + 1.000 2 ) 1/2  = 8.48 
                 tan φ = 1/(.5833)(.6536) = 
                 φ = 69.13 
               
               
                   
                 2.623 
                   
               
               
                 Host Roof Slope = 7:12 
                 tan λ 1  = .5833 × .6536 = .3812 
                 λ 1  = 20.87 
               
               
                   
                 tan λ 2  = .6536/.5833 = 1.1205 
                 λ 2  = 48.25 
               
               
                   
               
             
          
         
       
     
     EXAMPLE 2 
     
       
         
               
               
               
             
           
               
                   
               
             
             
               
                 a = 6.00 
                 tan α = .5833 
                 α = 30.24 
               
               
                 b = 6.00 × .5833 = 3.50 
                 tan β = 3.50/3.50 = 1.000 
                 β = 45.00 
               
               
                 c = 6.00(1 + .5833 2 ) 1/2  = 6.95 
                 tan δ = 3.50/6.95 = .5036 
                 δ = 26.73 
               
               
                 d = 3.50 
                 sin δ = 3.50/7.78 = .4499 
                 δ = 26.73 
               
               
                 e = 3.50(1 + 1.000 2 ) 1/2  = 4.95 
                 tan γ = .5833 
                 γ = 30.24 
               
               
                 f = (48.30 + 12.25) 1/2  = 7.78 
                 tan ρ = .5833/.4499 = 1.2965 
                 ρ = 52.36 
               
               
                 g = 6.00(1 + .5835 2 ) 1/2  = 6.95 
                 tan φ = 1/(.5833)(.4499) = 
                 φ = 75.30 
               
               
                   
                 3.811 
                   
               
               
                 Host Roof Slope = 7:12 
                 tan λ 1  = .5833 × .4499 = .2624 
                 λ 1  = 14.70 
               
               
                   
                 tan λ 2  = .4499/.5833 = .7713 
                 λ 2  = 37.64 
               
               
                   
               
             
          
         
       
     
     EXAMPLE 3 
     
       
         
               
               
               
             
           
               
                   
               
             
             
               
                 a = 5.00 
                 tan α = .5833 
                 α = 30.24 
               
               
                 b = 5.00 × .5833 = 2.92 
                 tan β = 2.92/4.00 = .7300 
                 β = 36.13 
               
               
                 c = 5.00(1 + .5833 2 ) 1/2  = 5.79 
                 tan δ = 4.00/5.79 = .6908 
                 δ = 34.64 
               
               
                 d = 4.00 
                 sin δ = 4.00/7.04 = .5682 
                 δ = 34.64 
               
               
                 e = 4.00(1 + .7292 2 ) 1/2  = 4.95 
                 tan γ = 4.00/5.00 = .8000 
                 γ = 38.66 
               
               
                 f = (33.52 + 16.00) 1/2  = 7.04 
                 tan ρ = .5833/.5682 = 1.0266 
                 ρ = 45.75 
               
               
                 g = 5.00(1 + .8000 2 ) 1/2  = 6.41 
                 tan φ = 1/.5833 × .5682 = 
                 φ = 71.66 
               
               
                   
                 3.017 
                   
               
               
                 Host Roof Slope = 7:12 
                 tan λ 1  = .5833 × .5682 = .3314 
                 λ 1  = 18.34 
               
               
                   
                 tan λ 2  = .5682/.5833 = .9741 
                 λ 2  = 44.25 
               
               
                   
               
             
          
         
       
     
     Components or preferably insulated glass panels or equivalent plastic panels configured to suit the particular geometry discussed above with all edges protected and sealed by channels which are then bonded to the panels. All connectors, as illustrated in  FIGS. 13-15 , may be custom configured and fabricated to attach panels to one another with a weather tight seal and trim. Four sills interconnect to form a base which is slightly smaller than a rough opening cut into a host roof to install the skylight window dormer. The rough opening is created by cutting roof rafters in the host roof and reframing to accommodate particular geometry of the skylight window dormer base. Interior angles of the rough opening depend on the geometry of the skylight window dormer base. Panels attached to the top of the base and the base itself may be secured to the framing of the host roof by conventional means. Then, flashing, shingles, trim and so forth are installed around the skylight window dormer to complete installation. 
     The skylight may be framed panels or a single monolithic piece formed or molded out of single piece of material and or have one or more edges fused or bonded together. For example,  FIG. 12  illustrates a plan for developing the present invention from a flat plastic sheet showing the angles required to create a monolithic three dimensional assembly from the flat plastic sheet material. 
     With reference to  FIG. 16-24 , an elliptical skylight window dormer  1  installed on a pitched host roof  2  having an angled slope is illustrated. The skylight window dormer  1  comprises an upper panel  3  having a substantially elliptically-curved shape. Said upper panel  3  comprises a front edge  4  and a rear edge  5 . Said upper panel forms a roof window. Said rear edge  5  of said upper panel  3  has a slope that is substantially equal to a slope of the pitched host roof  2  when the skylight window dormer  1  is installed on the pitched host roof  2  and the rear edge  5  of said upper panel  3  is joined to the pitched host roof  2 . A front panel  9 , having a substantially elliptically-curved shape comprises an upper edge  11  and a lower edge  12 . Said lower edge  12  of said front panel  9  has a slope that is substantially equal to the slope of the pitched host roof  2  when the skylight window dormer  1  is installed on the pitched host roof  2  and the lower edge  12  of said front panel  9  is joined to the pitched host roof  2 . Said upper edge  11  of said front panel  9  is joined to said front edge  4  of said upper panel  3  to form a substantially elliptically-curved skylight window dormer  1  with said front panel  9  and upper panel  3  meeting to form a substantially ninety degree angle. 
     Both the upper panel and front panel are created from glass or plastic sheets which are laid out geometrically so that they can be developed into elliptically curved panels about a first principal axis and symmetrically mitered panels about a second principal axis. All free edges and the common edges are identically shaped half ellipses. 
     The lower/free edge of the skylight window dormer is secured to an elliptically shaped curb or sill which is custom made to match the elliptically shaped bottom edge of the skylight window dormer. However, before the skylight window dormer is attached to this curb or sill, the curb or sill itself has to be integrated into a rectangular framed roof panel which in turn can be easily and conventionally integrated into a framed roof or wall structure. 
     The length L=(2a) or height H=(2b) of skylight window dormer is selected to suit. The remaining parameter is determined by host roof or wall slope (α). The width W=(2d) of the skylight window dormer is selected to suit. The length of skylight window dormer base 2c=2(a 2 +b 2 ) 1/2 . 
     The skylight panel is formed with an elliptical cross section at its midpoint. The equation for this ellipse is: (x/d) 2 +(y/b) 2 =1. The perimeter of the panel at its midpoint cross section is So=π[(d 2 +b 2 )/2] 1/2  The width of panel is (2a). Edges of the skylight panel are mitered at angle (α). 
     The window panel is formed with an elliptical cross section at its midpoint. The equation for this ellipse is: (x/d) 2 +(y/a) 2 =1. The perimeter of the panel at its midpoint cross section is So=π[(d 2 +a 2 )/2] 1/2 . The width of panel is (2b). Edges of the window panel are mitered at angle (π/2−α). 
     The shape of the common edge of both skylight and window panels and the shape of the cutout of the host roof or wall is defined by the following equation: (x/c) 2 +(y/d) 2 =1. 
     The skylight panel intersects the host roof or wall at angle (α) and window panel intersects same at angle (π/2−α). The centerline of skylight panel intersects the centerline of window panel at a right angle (π/2). 
     The following are formulas and an example for constructing and installing a skylight window dormer of the present invention on a pitched roof or other sloped surface. 
     
       
         
               
               
             
           
               
                   
               
             
             
               
                 a ≡ host roof or wall angle (given) 
                 α = 30.24 degrees 
               
               
                 tan α = a/b = host roof or wall slope (given) 
                 tan α = a/b = 7/12 = .5833 
               
               
                 a ≡ half length of SWD (select to suit) 
                 a = 5.00 
               
               
                 b ≡ half height of SWD = a tan α 
                 b = 2.92 
               
               
                 c ≡ half length of SWD base = (a 2  + b 2 ) 1/2  = 
                 c = 5.79 
               
               
                 a(1 + tan 2 α) 1/2   
                   
               
               
                 d = half width of SWD (select to suit) 
                 d = 4.00 
               
               
                 skylight ellipse: (x/d) 2  + (y/b) 2  = 1 
                 (x/4.00) 2  + (y/2.92) 2  = 1 
               
               
                 window ellipse: (x/d) 2  + (y/a) 2  = 1 
                 (x/4.00) 2  + (y/5.00) 2  = 1 
               
               
                 base/connector ellipse: (x/d) 2  + (y/c) 2  = 1 
                 (x/4.00) 2  + (y/5.79) 2  = 1 
               
               
                 perimeter of skylight panel @ midpoint: 
                 so = 3.14(16.53/2) 1/2  = 11.06 
               
               
                 so = π[(d 2  + b 2 )/2] 1/2   
                   
               
               
                 perimeter of window panel @ midpoint: 
                 so = 3.14(41.00/2) 1/2  = 14.23 
               
               
                 so = π[(d 2  + a 2 )/2] 1/2   
               
               
                   
               
             
          
         
       
     
     Two elliptically shaped aluminum “horse shoes” which are fastened, sealed and bonded to the skylight and window panels respectively where they meet before these panels are assembled, as illustrated in  FIG. 27 . 
     One aluminum cover attached over the connection between the skylight and window panels. Cover is scored in the middle and then bent from 0radians at the base to π/2 radians at the top to conform to the geometry of the intersecting skylight and window panels, as illustrated in  FIG. 29 . 
     One continuous aluminum clip attached to the inside “flange” of the skylight window dormer connector plates which runs an elliptical course from the base on one side of the skylight window dormer to the base on the other side of the skylight window dormer, as illustrated in  FIG. 28 . 
     Four T shaped aluminum extrusions which are formed to create the base of the skylight window dormer. Primary Forming of these extrusions creates the ellipse per the equation for the cutout in the host roof or wall. Secondary forming creates the proper flange angle required to receive mating edge of skylight window dormer, as illustrated in  FIG. 31 . 
     Four L shaped aluminum extrusions which are formed to create the retainer of the skylight window dormer. Primary forming of these extrusions creates the ellipse per the equation for the cutout in the in the host roof or wall. Secondary forming creates the proper flange angle required to retain the exterior surface of the skylight window dormer in place, as illustrated in  FIG. 31 . 
     Two insulated glass or equivalent plastic panels configured to suit a particular geometry with edges mitered to match squarely with each other and with the host roof or wall as illustrated in  FIG. 31-35 . 
     Four triangular aluminum plates at the vertex of the skylight and window panels where they meet at the base of the skylight window dormer. These plates reinforce the connection between the skylight/window panels and the elliptically shaped extrusions at the midpoint of skylight window dormer base where all components are perpendicular to the host roof or wall. 
     One elliptically shaped wood sill or curb laminated or otherwise formed to suit the geometry of a particular skylight window dormer and the framing depth of the host roof or wall. 
     Host roof or wall is framed conventionally to accommodate the rectangular roof panel with the ellipsoid skylight window dormer completely installed therein. Secondary framing, sheathing and weather stripping to adapt the elliptically shaped sill or curb and ellipsoid skylight window dormer to conventional rectangular framing in the host roof or wall structure. Roofing shingles and trim to retrofit or complete the installation. 
     It is to be understood that while a preferred embodiment of the invention is illustrated, it is not to be limited to the specific form or arrangement of parts herein described and shown. It will be apparent to those skilled in the art that various changes may be made without departing from the scope of the invention and the invention is not to be considered limited to what is shown and described in the specification and drawings.