286 



S. HIRAYAMA. 



Table IV. gives the following four sets of équations of conditions 



deduced respectively from A, B, 0, and D, of that fable. These four 



.sets of equations I shall call A', 1>\ C\ and D' respectively. 



A'. ( ". 



(-loi X— 500 F + 46 ii) 1.15 ( — 134 X-5O0 F+ 44 = 0) 1.25 



(-066 X— 366 F + 83=0) 1.05 (—366 X— 366 F + 99=0) 1.14 



(-500 A' -1:31. F + 98 = 0) 0.98 (-500 A'- 1:54. F + 62 = 0) .98 



(-500 X + 134 F + Hi 0) 0.78 (-500 X+134 F + 29 = 0) .88 



(—366 X+366 F + 2<) 0j 0.70 (-860 X+366 F+113=0) .97 



(—134 A + 500 F+ 15 0) (1.98 (-181 A + 500 F + 81 0) 1.04 



( + 134 A+500 Y- 08= 0) 1.8:, (+181 X + 500 F- 18 =0) 1.24 



(+366 X + 3<i0 F- 85 0) 1.40 ( + 800 X + 366 F + 21=0) 1.34 



( + 500 X+134 F- 08 :0) 1.1:5 ( + 500 A + 181. F- 09 =0) 1.31 



( + 500 X-134 F- 88 0) 1.8:5 (+500 X-134 F-137 = 0) 1.27 



( + 806 X— 366 F— 14 0) 1.25 ( + 800 X— 366 1'-- 50 0) 1.3:5 



(+134 X— 500 F + 109 0) 1.20 ( + 134 X — 500 F- 12 0) 1.38 



ir. jy. 



(—134 X— 500 F+130 = 0) 1.11 ( — 134 X— 500 F+ 75 0) 1.30 



( — 800 X— 366 )' + 172 0) (».05 (—366 X — 366 F +121 (0 1.1 »5 



(_500 X— 134 F+178 0) 0.79 (-500 X— 134 F+106 0i 1.00 



(-500 X + 134 1'+ 01 ()) 0.7»; (-500 X+134 F+ 39=0) 0.90 



(—300 X + 366 F+ 24=0) 0.84 ( — 366 X + 366 F+ 68 0) 0.97 



( — 134 A + 500 F- 1.0 0) 0.88 (-1:34 X + 500 F+ I 0) 1.10 



( + 134 A + 500 F- 9 = 0) 1.19 ( + 184 A+500 F- 24 = 0) 1.37 



( + 366 A + 300 F- 27=0) 1.45 ( + 800 X + 366 I'- 26 = 0) 1.53 



( + 500 X+134 F- 87=0) 1.55 ( + 500 X+134 F- 80=0) 1.57 



( + 500 X-134 F - 1 08 ) 1.45 ( + 500 X-134 F - 1 10 ■ 0) 1 .48 



( + 800 X-800 Y- 55-0) 1.20 ( + 306 X — 366 Y- 45 = 0) 1.12 



( + 131 A-500 Y+ 27 0) 1.19 ( + 134 X-500 F+ 23=0) 1.41 



The set of equations (A' J gives 



>■> ,•> j) >> 1 *-' y )) 



