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CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims the benefit of U.S. Provisional Application Ser. No. 61/007,789, filed Dec. 13, 2007, which is hereby incorporated by reference herein in its entirety, including but not limited to those portions that specifically appear hereinafter, the incorporation by reference being made with the following exception: In the event that any portion of the above-referenced provisional application is inconsistent with this application, this application supercedes said above-referenced provisional application. 
    
    
     STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT 
     Not Applicable. 
     BACKGROUND OF THE INVENTION 
     1. The Field of the Invention 
     The invention relates generally to swimming pool features, and more particularly, but not necessarily entirely, to a corner plate for use in the construction of a swimming pool. 
     2. Description of Related Art 
     Swimming pools can be formed to have a variety of different configurations. One known variety of swimming pool includes a sidewall covered with a liner attachment. An upper, free end of the liner is received in a circumferential liner slot located near the top of the pool which extends entirely around the pool&#39;s perimeter. It is common practice to form the swimming pools in various shapes to enhance the aesthetic and functional aspects of the pool. For example, some swimming pools have side walls that meet in ninety degree corners, whereas other swimming pools have corners that meet at other angles to present a better aesthetic appearance to some observers than the ninety degree corners. 
     Swimming pool designers have had difficulties in designing liner-pools with corners in an economic manner that function properly and have a pleasant appearance. For example, corner pieces have previously been installed in swimming pools between adjacent pool sides to achieve corners. However, it has been difficult to match and align the liner slot on the adjacent sides of the swimming pool adequately. The corner pieces added to swimming pools have been known to create gaps between the corner piece and the sidewalls which detract from the appearance of the corner. 
     Referring now to  FIG. 1 , a view of a swimming pool, indicated generally at  1 , is shown having corners. The swimming pool  1  will typically include sidewalls  4  covered with a coping  6  defining the perimeter of the pool  1 . The pool  1  will typically also include a retractable pool cover  8  which precludes the collection of debris and leaves in the swimming pool  1 . This helps reduce the frequency and amount of pool maintenance which would otherwise be required. In addition, the retractable pool cover  8  may provide a significant safety benefit in that the weight of a person may be supported by the pool cover  8  while the pool cover  8  is extended over the water, to prevent unwanted access to the pool  1  or drowning while the pool  1  is unattended. Furthermore, the retractable pool cover  8  may be beneficial in reducing heat loss and actually increasing water temperature through solar heating. The corner  2  of the is configured to be compatible with the pool cover  8  to provide a more attractive and finished appearance. Liner pools using a polymeric liner that is attached at the side coping  6 , typically use thick retainer portions circumnavigating the liner for attaching the liner to the coping  6 . Attaching said retainer portion at corner junctions has proven challenging. It will be appreciated that pools of various sizes and configurations may be used within the scope of the embodiment. 
     In view of the drawbacks inherent in the available art, it would be a significant advance in the art to provide a corner with a liner receiving channel for use in constructing corners of a swimming pool, that is simple in design and manufacture, and which provides a finish cover with an aesthetically pleasant appearance. Additionally, design elements and manufacturing costs may demand a more economical or more athletically pleasing pool corner than a rounded corner. For example during assembly of a swimming pool at a client site, the corner of the pool may not align at substantially a tangential relationship with the pool side coping members. A Strictly rounded corner plate may not be readily adjustable to the situation due to the fact that tangentionally cutting or trimming a curve greatly reduces the corresponding dimension of the trimmed side. As can be seen in  FIG. 2 , such a mis-alignment is illustrated. A pool corner  100  having a mis-alignment between side coping member  114  and corner piece  110  may result in the need to remove a substantial length ‘L’ of the corner piece  110 , and can result in a much less tangential relationship between the side coping  114  corresponding to the trimmed side  110   a  of the corner piece  110  at the junction  126   a . The mis-alignment is illustrated with the dashed line  114   a  and would dictate a coroner junction at  124   a  instead of the position shown at  124 . Correction in the field can pose problems with tools, coatings on the part and other shortfalls to be discussed below with reference to the disclosure. These short falls or complications can cost in money, time, and appearance in the final product. 
     The prior art is thus characterized by several disadvantages that are addressed by disclosure herein. The embodiments disclosed herein minimizes, and in some aspects eliminates, the above-mentioned failures, and other problems, by utilizing the methods and structural features described herein. 
     SUMMARY OF THE DISCLOSURE 
     What is needed is a pool corner piece that provides a transition in a pool corner that offers greater flexibility in the field while being installed. What is needed is a pool corner piece that provides aesthetic variations for users. Such an apparatus is disclosed herein. 
     What is needed is a system for a pool that provides a transition in a pool corner or corners thereof, that offer greater flexibility in the field while being installed and that provides aesthetic variations for users. Such a system is disclosed herein. 
     What is needed is a method for installing a pool that provides a transition in a pool corner or corners thereof, that offer greater flexibility in the field while being installed, and that provides aesthetic variations for users. Such a method is disclosed herein. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The features and advantages of the disclosure will become apparent from a consideration of the subsequent detailed description presented in connection with the accompanying drawings in which: 
         FIG. 1  is a view of a prior art swimming pool including a corner; 
         FIG. 2  is a view of a prior art swimming pool corner of the prior art that illustrates the effect of misalignment; 
         FIG. 3  is a view of an exemplary embodiment of a corner piece illustrating alignment correction; 
         FIG. 4  is a view of an exemplary embodiment of a corner piece and other components; 
         FIG. 5  is a view of an exemplary embodiment of a corner piece and other components; 
         FIG. 6  is a view of an exemplary embodiment of a corner of  FIG. 5 ; 
         FIG. 7  is a view of an exemplary embodiment of a corner piece in mesh and other components; 
         FIG. 8  is a view of an exemplary embodiment of a corner piece in mesh and other components; 
         FIG. 9 . is a view of an exemplary embodiment of a corner piece and other components; 
         FIG. 10 . is a view of an exemplary embodiment of an angled corner piece having four transitional angles and other components; 
         FIG. 11 . is a view of an exemplary embodiment of an angled corner piece having three transitional angles and other components; 
         FIG. 12 . is a view of an exemplary embodiment of an angled corner piece having five transitional angles and other components; 
         FIG. 13 . is a cross-sectional view of an exemplary embodiment of a corner piece retainer lip; 
         FIG. 14 . is a cross-sectional view of an exemplary embodiment of a corner piece retainer lip; 
         FIG. 15 . is a cross-sectional view of an exemplary embodiment of a corner piece retainer lip; 
         FIG. 16 . is a view of an exemplary embodiment of a corner piece; 
         FIG. 17 . is a view of an exemplary embodiment of a corner piece and other components; 
         FIG. 18 . is a view of an exemplary embodiment of a corner piece with drainage and other components; 
         FIG. 19 . is a view of an exemplary embodiment of a corner piece with drainage and other components; 
         FIG. 20 . is a view of an exemplary embodiment of a corner piece with drainage and other components; 
         FIG. 21 . is a view of an exemplary embodiment of a pool having a corner piece; 
         FIG. 22   a . is a view of an exemplary embodiment of a pool having a plurality of corner pieces and other components; 
         FIG. 22   b . is a view of an exemplary embodiment of a pool having a plurality of corner pieces and other components; 
         FIG. 23 . illustrates a method of using a corner piece in constructing a pool; and 
         FIG. 24 . illustrates a method of making a corner piece. 
     
    
    
     DETAILED DESCRIPTION 
     For the purposes of promoting an understanding of the principles in accordance with the disclosure, reference will now be made to the embodiments illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the disclosure is thereby intended. Any alterations and further modifications of the inventive features illustrated herein, and any additional applications of the principles of the disclosure as illustrated herein, which would normally occur to one skilled in the relevant art and having possession of this disclosure, are to be considered within the scope of the disclosure claimed. 
     The publications and other reference materials referred to herein to describe the background of the disclosure, and to provide additional detail regarding its practice, are hereby incorporated by reference herein in their entireties, with the following exception: In the event that any portion of said reference materials is inconsistent with this application, this application supercedes said reference materials. The reference materials discussed herein are provided solely for their disclosure prior to the filing date of the present application. Nothing herein is to be construed as a suggestion or admission that the inventors are not entitled to antedate such disclosure by virtue of prior disclosure, or to distinguish the present disclosure from the subject matter disclosed in the reference materials. 
     It must be noted that, as used in this specification and the appended claims, the singular forms “a,” “an,” and “the” include plural referents unless the context clearly dictates otherwise. 
     In describing and claiming the present disclosure, the following terminology will be used in accordance with the definitions set out below. 
     As used herein, the terms “comprising,” “including,” “containing,” “characterized by,” and grammatical equivalents thereof are inclusive or open-ended terms that do not exclude additional, unrecited elements or method steps. 
     Referring now to  FIG. 3  a transitional corner piece will be discussed that provides simple field adjustment. During assembly of a swimming pool at a client site, the corner of the pool may not align at substantially a tangential relationship to pool side coping members  312 , 314 . A Strictly rounded corner plate may not be readily adjustable to the situation due to the fact that tangentially cutting or trimming a curve greatly reduces the corresponding dimension of the trimmed side. As can be seen in  FIG. 1 . However with a chopped or other configuration with transitional angles the situation can be corrected with a simple miter cut. A pool corner  300  having a mis-alignment between side coping member  314  and corner piece  310  may result in the need to remove substantially less material from the corner piece as seen by length ‘L” of the corner piece  310 . Compare the length ‘L” of  FIG. 3  to ‘L’ of  FIG. 2  and it is apparent that angular transitional corners remove less material for the same alignment adjustment. Such an adjustment can result in a much improved tangential relationship between the side coping  314  and corresponding trimmed side  310   a  of the corner piece  310  at the junction  326   a . The mis-alignment is illustrated with the dashed line  314   a  and would dictate a corner junction at  324   a  instead of the intended position shown at  324 . Simple tools and measurements can be used with such an angled corner plate  310 . 
     Referring now to  FIG. 4 , a view of an exemplary embodiment of the corner  300  is shown. The corner  310  may include two lengths of coping  314  and  312  which may meet to form a corner of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within, the scope of the patent, including, but not limited to, a corner defining any angle greater than zero degrees or less than 180 degrees. As illustrated corner piece  310  provides a two angle transition of the liner receptor portion  318  in the 90 degree corner  300 . The angles are most readily observed by extending tangent lines  315 ,  317  from the coping members  312 ,  314  and tangent line  318   a  from the liner receptor portion  318  and then measuring the angular relationship between those tangent lines. For example an embodiment would include a pool would have a 45 degree angle θ and a 45 degree angle λ. Other angular configurations are within the scope of this disclosure. It should be noted that the angles between the coping members and the corner piece are most likely to be acute angles to provide a smooth transition for the liner receptor slot therein. 
     Referring now to  FIG. 5 , a view of an exemplary embodiment of a corner  520  is shown. The corner  520  may include two lengths of coping  524  which may meet to form a corner  520  of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within, the scope of the patent, including, but not limited to, a corner defining any angle greater than zero degrees or less than 180 degrees are contemplated within the scope of the patent. As illustrated corner piece  526  provides a smooth rounded corner transition of 90 degrees for corner  520 . As seen in  FIG. 6  a theoretical infinite number of angles makes a smooth rounded transition of the liner receptor portion  527 . The angles between the corner peace  526  and coping members  524  are most readily observed by extending tangent lines  528   a ,  528   b ,  524   a ,  524   b  from the coping members  524  and from the liner receptor portion  528  and then measuring the angular relationship between those tangent lines. For example a pool of this embodiment may have a very small degree angle θ and a very small degree angle λ because of the rounded transition. The first and second acute angles can be understood to be approaching smaller and smaller angles until the angle transitions are approximating zero degrees each. The same reasoning would be employed to find the angle λ. Other angular configurations are within the scope of this disclosure. It should be noted that the angles between the coping members and the corner piece are most likely to be acute angles to provide a smooth transition for the liner receptor slot therein. In an embodiment, the corner is a ninety degree corner, however it will be appreciated that the other angular relationships for pool corners conform to, and are contemplated by, the scope of the patent. 
     Referring now to  FIG. 7  and  FIG. 8 , an exemplary embodiment of the corner  400  is shown. The corner  400  may include two lengths of coping  440  which may meet to form a corner of a pool  400 . The corner  400  may be constructed of a mesh material corner piece  410 . The mesh material  410  of corner piece may be rigid or it may be flexible. It is within the scope of this application to include the use of tabs as well as a flange along with any suitable protrusion structure. It is within the scope of this application include a groove or fold in place of a slot for accepting a mesh corner material. The liner receptor piece  470  may include a liner receptor slot  480  for receiving and holding a pool liner. Methods of forming a liner receptor piece  470 , and liner receptor slot  480 , such as bending, cutting, casting, molding, forging, etc. are within the scope of the patent. In an embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within, the scope of the patent, including, but not limited to, a corner defining any angle greater than zero degrees or less than 180 degrees are contemplated by, the scope of the patent. The liner receptor piece  470  may include a liner receptor slot  480  for receiving and holding a pool liner. Methods of forming a liner receptor piece  470 , and liner receptor slot  480 , such as bending, cutting, casting, molding, forging, etc. are within the scope of the patent. The mesh portion may be formed in a piece that has an initial area that is smaller than the final area as applied in the pool. The mesh corner may be perforated while in the smaller area configuration and then pulled latterly in tension to open the perforation and resulting in an overall larger area having openings therein. The meshed corner piece  460  may be rounded having an infinite number of angle transitions that sum to approximately the same angle as the corner  400 . The meshed corner piece  460  may be angular having a fixed number of angle transitions that sum to approximately the same angle as the corner  400 . 
     Referring now to  FIG. 9 , a view of an exemplary embodiment of the corner  500  is shown. The corner  500  may include a two lengths of coping  504  which may meet to form a corner of a pool. In an embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated by, the scope of the patent. The corner  500  also may include a two part corner piece  536  for providing a transitional angle in the pool corner  500  between coping lengths  504 . A liner receptor piece  537  may be configured to accept corner plate  536 . Liner receptor portion  537  may comprise a liner receptor slot  538 . 
     Referring now to  FIG. 10  an embodiment of an angular transitional corner piece will be discussed. In an embodiment four transitional angles may be used for a corner piece  1000 . The corner  1000  may include two lengths of coping  1002 ,  1003  which may meet to form a corner  1000  of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. The transitional angles are a plurality of angles, and each of the plurality of angles corresponds to an acute angle as known to those of ordinary skill in geometry, and wherein a sum of said corresponding acute angles equals approximately ninety degrees or the angle of the pool corner. Each plurality of angles may have a first and a second angle on either side of either (i) an intermediate single acute angle or (ii) a plurality of intermediate acute angles. 
     As illustrated corner piece  1001  provides a four angle transition of the liner receptor portion  1010  in the 90 degree corner  1000 . For example an embodiment of a pool may have four equal corresponding acute angles of 22.5 degrees that correspond to angles  1004 ,  1005 ,  1007 ,  1009 . Angles  1014  and  1015  are complementary to angles  1004  and  1005  respectively. Angles  1017  and  1019  are complementary to angles  1007  and  1009  respectively. Other angular configurations are within the scope of this disclosure. It should be noted that the complementary angles  1014 ,  1015  between the coping members and the corner piece are most likely to be acute angles when measured to complement the first and last transitional angles in order to provide a smooth transition for the liner receptor slot therein. 
     In other words a corner piece for forming a corner of a pool may comprise a first and second substantially linear portion having projected tangent lines of said first portion that intersect with a projected tangent line of said second portion at an angle. For example, as observed in  FIG. 4 , the corner piece  310  may comprise a first substantially linear portion  310   a  and a second substantially linear portion  310   b . The line  317  may represent a projected tangent line of the first portion  310   a , in addition to that of the coping  312 , and the line  315  may represent a projected tangent line of the second portion  310   b , in addition to that of the coping  314 . The angle α may represent the angle between the projected tangent line  317  and the projected tangent line  315 . It may also comprise a third portion comprising a liner receptor slot for receiving a pool liner wherein said third portion comprises a non-curved portion therein and wherein a tangential projection off of a first end of said third portion intersects said tangent line of said first portion at a first acute angle. For example, as observed in  FIG. 4 , the projected tangent line  317  may intersect with the projected tangent line  318   a  of the liner receptor slot of the third portion  318  to form angle θ. Additionally, a tangential projection off of a second end of said third portion intersects said tangent line of said second portion at a second acute angle. For example, as observed in  FIG. 4 , the projected tangent line  315  may intersect with the projected tangent line  318   a  of the liner receptor slot of the third portion  318  to form angle λ. Furthermore, the third portion may comprise an angle corresponding to an acute angle therein forming a concaved form. Another embodiment may be a corner piece having a third portion that comprises a plurality of angles corresponding to a plurality of acute angles thereby forming a concaved form. 
     Referring now to  FIG. 11  an embodiment of an angular transitional corner piece will be discussed. In an embodiment, three transitional angles may be used for a corner piece  1310 . The corner  1300  may include two lengths of coping  1302 ,  1303  which may meet to form a corner  1300  of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. As illustrated corner piece  1301  provides a three angle transition of the liner receptor portion  1310  in the 90 degree corner  1300 . For example an embodiment of a pool may have three equal angles  1304 ,  1305 ,  1307  of 30 degrees. Angles  1314  and  1317  are complementary to angles  1304  and  1307  respectively. A single intermediate angle  1305  corresponds to complementary angle  1315 . Other angular configurations are within the scope of this disclosure. It should be noted that the complementary angles  1314 ,  1317  between the coping members and the corner piece are most likely to be acute angles when measured to complement the first and last transitional angles in order to provide a smooth transition for the liner receptor slot therein. 
     Referring now to  FIG. 12  an embodiment of an angular transitional corner piece will be discussed. In an embodiment, five transitional angles may be used for a corner piece  1401 . The corner  1400  may include two lengths of coping  1402 ,  1403  which may meet to form a corner  1400  of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. As illustrated, corner piece  1401  provides a five angle transition of the liner receptor portion  1410  in the 90 degree corner  1400 . For example an embodiment of a corner may have five equal corresponding angles  1414 ,  1415 ,  1417 ,  1418 ,  1419  of 18 degrees that correspond to angles  1404 ,  1405 ,  1407 ,  1408 ,  1409 . Angles  1014  and  1015  are complementary to angles  1004  and  1005  respectively. Angles  1414  and  1419  are complementary to angles  1404  and  1409  respectively, Other angular configurations are within the scope of this disclosure. It should be noted that the complementary angles  1414 ,  1419  between the coping members and the corner piece are most likely to be acute angles when measured to complement the first and last transitional angles in order to provide a smooth transition for the liner receptor slot therein. As discussed above with reference to  FIG. 6  above, and number of angle transitions can be made. An embodiment may also have a corner piece of wherein said plurality of intermediate angles when summed with the first and second acute angles equals more than one-hundred an eighty degrees. 
     An embodiment of the corner piece wherein said corner piece is derived from a first member having a first member angle, and second member having a second member angle, and wherein said first member angle and said second member angle when summed with said first acute angle and second acute angle equal approximately ninety degrees. 
     An embodiment of the corner piece may have a corner piece that may be derived from a plurality of members having a plurality of member angles, wherein when said plurality of member angles when summed with said first acute angle and second acute angle equal approximately ninety degrees. 
     Embodiments of the above mentioned liner receptor slots will now be discussed. With reference to  FIG. 13  an embodiment of a liner receptor slot  1100  will be discussed. A liner edge configured to correspond to an applicable liner receptor is illustrated as slot  1110 . The liner receptor lips  1116  and  1118  may provide mechanical resistance to prevent the liner edge from moving out of the liner receptor slot  1110 . The present embodiment depicts a liner receptor slot  1110  that has a square cross section wherein the vertical wall  1112  is the same length as the horizontal walls  1114 . The liner receptor slot  1110  may be configured to allow the insertion of a pool liner and then retain the inserted liner portion therein. The present embodiment depicts a liner receptor slot  1110  that has a rectangular cross section wherein the vertical wall  1112  is longer then the horizontal walls  1114 . It is within the scope of the application to include embodiments of liner receptor lips that may be off set to provide additional advantages. 
     With reference to  FIG. 14  an embodiment of a liner receptor slot will be described. Liner receptor portion  1200  includes a liner receptor slot  1210  formed therein. The present embodiment depicts a liner receptor slot  1210  that has a square cross section wherein the vertical wall  1212  is the same length as the horizontal walls  1214 . A liner edge configured to correspond to an applicable liner receptor is inserted in to the liner receptor slot  1210 . The liner receptor lips  1216  and  1218  provide mechanical resistance to the liner edge from moving out of the liner receptor slot  1210 . It is within the scope of the application to include embodiments of liner receptor lips that may be off set to provide advantages. 
     With reference to  FIG. 15  an embodiment of a liner receptor slot will be described. Liner receptor portion  1500  includes a liner receptor slot  1510  formed therein. A liner edge configured to correspond to an applicable liner receptor is inserted in to the liner receptor slot  1510 . The single liner receptor lip  1520  may provide mechanical resistance to the liner edge to prevent it from moving out of the liner receptor slot  1510 . It is within the scope of the application to include embodiments of liner receptor lips that may be formed at the top or bottom of the liner receptor slot  1510 . 
     With reference to  FIG. 16  an embodiment of a liner receptor slot cut into a solid single piece corner piece will be described. A solid single piece of material  1650  may have a liner receptor slot  1660  cut into a curved or angled receptor portion  1665 . This embodiment demonstrates the feature of a single liner receptor lip  1670  for retaining an inserted pool liner edge. It is within the scope of the application to include embodiments of liner receptor lips that may be formed at the top or bottom of the liner receptor slot  1660 . 
     Referring now to  FIG. 17 , a view of an exemplary embodiment of the corner  1150  is shown. The corner  1150  may include two lengths of coping  1154  which may meet to form a corner of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. 
     It is within the scope of this application to include any number of pieces to complete a corner. The pieces  1156   a ,  1156   b ,  1156   c  forming the corner plate  1156  may be cut or milled from stock material as a single piece unit. Liner receptor slot  1158  may be milled or cut from the single piece of material  1156   a . Other methods of forming the multiple pieces such as casting, molding, forging, etc. are within the scope of the patent. 
     Referring now to  FIG. 18 , a view of an exemplary embodiment of the corner  1250  is shown. The corner  1200  may include two lengths of coping  1254  which may meet to form a corner of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. The corner plate may also include a drainage opening  1255  for allowing water to drain from the corner rather than to sit and possibly corrode the pool corner material or leave unsightly residue after evaporating. An edge may be configured with a liner receptor portion  1258 . It is within the scope of this application to include any number of drainage opening with any type of placement. The drainage opening may be of any shape or size suitable for draining water. The drainage opening may be incidental and result from another intended purpose such as a hole made for fastening but that in application is left open. The corner plate  1256  may be cut or milled from stock material as a single piece unit. Liner receptor slot  1258  may be milled or cut. Other methods of forming the corner plate  1256  with a drainage hole  1255  such as casting, molding, forging, etc. are within the scope of the patent. 
     Referring now to  FIG. 19 , a view of an exemplary embodiment of the corner  1900  is shown. The corner  1900  may include two lengths of coping  1914  which may meet to form a corner of a pool. In the embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated within the scope of the patent. The corner plate  1916  may also include a beveled corner  1915  providing an opening for allowing water to drain from the corner rather than to sit and possibly corrode the pool corner material or leave unsightly residue after evaporating. An edge may be configured with a liner receptor portion  1918 . The drainage opening may be of any shape or size suitable for draining water. The drainage opening may be incidental and result from another intended purpose such as a structure for fastening an additional member. The corner plate  1916  may be cut or milled from stock material as a single piece unit. Liner receptor slot  1918  may be milled or cut. Other methods of forming the corner plate  1916  with a drainage opening  1915  such as casting, molding, forging, etc. are within the scope of the patent. 
     Referring now to  FIG. 20 , a view of an exemplary embodiment of the corner  2000  is shown. An edge may be configured with a liner receptor portion  2018 . The drainage opening  2015  may be of any shape or size suitable for draining water. The drainage opening may be incidental and result from another intended purpose such as a structure for fastening an additional member. The corner plate  2016  may be cut or milled from stock material as a single piece unit. Liner receptor slot  2018  may be milled or cut. Other methods of forming the corner plate  2016  with a drainage opening  2015  such as casting, molding, forging, etc. are within the scope of the patent. 
     Referring now to  FIG. 21 , a view of an exemplary embodiment of the single corner pool assembly  2100  is shown. The corner  2126  may be configured to interface with a length of coping  2102  which may be used to form a boarder of a pool. In an embodiment, the corner is a ninety degree corner, however it will be appreciated that other angular relationships for pool corners conform to, and are contemplated by, the scope of the patent. The corner assembly  2100  may comprise two pieces. A first piece may be a generally plainer corner plate  2126  for providing a transitional curve or radius in the pool corner between coping lengths. In other words, a transitional curve may be considered a curve that provides a rounded transitional path between the lengths of coping an initial angle and the resultant angle. For example, if a pool corner has a 90 degree corner between coping lengths, a continuous curve transition would represent an infinite number of angles that when combined would equal 90 degrees. It is within the scope of this application to include any number of incremental and random angle transitions to complete a corner. The corner plate  2126  having a top side and a bottom side. The corner plate  2126  may have a face and generally linear sides, bounding the plate that generally come together or tangentially come together forming a bounding intersection and not necessarily a point. Corner plate  2126  may include a liner receptor slot for receiving and holding a pool liner. The liner receptor slot may be part of a single piece of material corner plate, or may be cut or milled from stock material as a separate piece receptor portion. If formed from a separate piece, the receptor portion may take the form of a “C” channel that is then mounted to the corner plate  2126 . 
     Referring now to  FIG. 22   a , a view of an exemplary embodiment of a five corner pool assembly  2200  is shown. The corners  2226   a ,  2226   b ,  2226   c ,  2226   d ,  2226   e  may be configured to interface with lengths of coping  2202  which may be used to form a boarder of a pool. In this embodiment, the corners are differing in angles, and it will be appreciated that differing corner pieces may be employed for the differing angles. The pool assembly  2200  may comprise two components. A first piece may be a generally plainer corner plate  2226  for providing a transitional curve or radius in the pool corner between coping lengths. In other words, a transitional curve may be considered a curve that provides a rounded transitional path between the lengths of coping an initial angle and the resultant angle. The angles of the five corners when combined would equal 360 degrees. It is within the scope of this application to include any number of incremental and random angle transitions to complete a corner. 
     Referring now to  FIG. 22   a  a pool having a corner of less than 90 degrees is illustrated. 
     An additional embodiment may contain a corner piece for forming a corner of a pool, said corner piece comprising: 
     a first side shaped as to correspond with and abut to a pool wall near a corner; 
     a second side shaped as to correspond with and abut to a pool wall near a corner; 
     wherein a projected tangent line of said first side intersects with a projected tangent line of said second side forming a corner angle; and 
     a third side comprising a liner receptor slot for receiving a pool liner wherein tangential projections or the third side intersects projections of said first and second sides. 
     In another embodiment a corner piece may further comprise a drainage opening where said projected tangent line of said first side intersects with said projected tangent line of said second side. Additionally, the corner piece may be formed by cutting from a solid piece of stock material, or is formed from two parts; wherein a first part and a second part are joined. 
     Other exemplary features may be a first part comprising a series of openings and a second part comprises a liner receptor slot. 
     In view of the foregoing, it will be appreciated that the disclosed a corner, for covering a top of a pool sidewall, which is simple in design and manufacture, and which provides for alignment of the liner slot. The disclosed also provides a corner for a pool which eliminates a visible gap between the corner plate and the pool sidewall, and which provides a finish cover with a aesthetically pleasant appearance. 
     A pool assembly using an improved corner piece may be installed using the following method. A user may install a first coping member and a second coping member thereby forming at least a corner. The user may then install an improved corner piece. A user would then decide where to start inserting a liner into the liner receptor slot of any of the components thus assembled. After choosing where to begin the user would install the liner around the circumference of the pool, ending at the component that he did not start with in the assembly, but is adjacent thereto. 
     A method for constructing a perforated corner piece for a pool assembly comprising the following acts. A user would perforate a generally planer piece of substantially ductile material. The user would then apply opposing tension forces in the direction of desired expansion. The user would then observe the condition of the piece. Once the piece has reached a predetermined dimension releasing the tension force. 
     It is to be understood that the above-described arrangements are only illustrative of the application of the principles of the disclosure. Numerous modifications and alternative arrangements may be devised by those skilled in the art without departing from the spirit and scope of the disclosure. Thus, while the embodiments have been shown in the drawings and fully described above with particularity and detail in connection with what is presently deemed to be the most practical and preferred embodiment(s) of the invention, it will be apparent to those of ordinary skill in the art that numerous modifications, including, but not limited to, variations in size, materials, shape, form, function and manner of operation, assembly and use may be made without departing from the principles and concepts set forth herein. 
     It will be appreciated that the structure and apparatus disclosed herein is merely one example of a means for providing a transitional corner for a pool, and it should be appreciated that any structure, apparatus or system for providing a transitional corner for a pool which performs functions the same as, or equivalent to, those disclosed herein are intended to fall within the scope of a means for providing a transitional corner for a pool, including those structures, apparatus or systems for providing a transitional corner for a pool which are presently known, or which may become available in the future. Anything which functions the same as, or equivalently to, a means for providing a transitional corner for a pool falls within the scope of this element. 
     Those having ordinary skill in the relevant art will appreciate the advantages provide by the features of the present disclosure. 
     In the foregoing Detailed Description, various features of the present disclosure are grouped together in a single embodiment for the purpose of streamlining the disclosure. For example, an embodiment of a corner piece for forming a corner of a pool well with in the scope of this disclosure may have a first substantially linear portion; 
     a second substantially linear portion; 
     wherein a projected tangent line of said first portion intersects with a projected tangent line of said second portion forms an angle; 
     a third portion comprising a liner receptor slot for receiving a pool liner; 
     wherein a tangential projection off of an first end of said third portion intersects said tangent line of said first portion at a first acute angle; 
     wherein a tangential projection off of a second end of said third portion intersects said tangent line of said second portion at a second acute angle; 
     wherein a sum of said first acute angle and said second acute angle is less than ninety degrees; and 
     wherein said third portion is formed from a plurality of substantially linear segments forming a concaved form; and comprising a plurality of openings. This method of disclosure is not to be interpreted as reflecting an intention that the claimed disclosure requires more features than are expressly recited in each claim. Rather, as the following claims reflect, inventive aspects lie in less than all features of a single foregoing disclosed embodiment. Thus, the following claims are hereby incorporated into this Detailed Description of the Disclosure by this reference, with each claim standing on its own as a separate embodiment of the present disclosure. 
     It is to be understood that the above-described arrangements are only illustrative of the application of the principles of the present disclosure. Numerous modifications and alternative arrangements may be devised by those skilled in the art without departing from the spirit and scope of the present disclosure and the appended claims are intended to cover such modifications and arrangements. Thus, while the present disclosure has been shown in the drawings and described above with particularity and detail, it will be apparent to those of ordinary skill in the art that numerous modifications, including, but not limited to, variations in size, materials, shape, form, function and manner of operation, assembly and use may be made without departing from the principles and concepts set forth herein.

Summary:
A corner for a pool providing a transition of the corner angle therein and thereby providing for ease of installation, improved aesthetics, improved operation, and simpler maintenance.