X1437

X283-BETH CONJUGATE OF X283

X1437 = X603-cross conjugate of X58
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 3, 49 }: Central Line L(3, 49) { 28, 60 }: Central Line L(28, 60) { 56, 58 }: Central Line L(56, 58) { 21, 104 }: Central Line L(21, 104) { 48, 255 }: Central Line L(48, 255) { 182, 474 }: Central Line L(182, 474) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_182 = MIDPOINT OF BROCARD DIAMETER (0.5500, 0.1846) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_1437 = -BETH CONJUGATE OF X(283) (0.5584, 0.1373) A B C X283 X3 X49 X28 X60 X56 X58 X21 X104 X48 X255 X182 X474 X1437 (a, b, c) = (5, 6, 7) | AB = 1

X1437 (X283-BETH CONJUGATE OF X283) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A) (1 - \cos A)/(\cos B + \cos C) : :\)
Search Value (6, 9, 13): \(-21.879621844222\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a^{2} (a^{2} - b^{2} - c^{2})/(b + c) : :\)

▸ Incident Central Lines12 lines

{3, 49}, {21, 104}, {28, 60}, {35, 692}, {48, 255}, {56, 58}, {163, 911}, {182, 474}, {215, 1364}, {284, 1433}, {849, 1333}, {1014, 1175}

▸ Functional Relations7 relations