X2636

CROSSSUM OF PU(76)

X2636 = X652-Ceva conjugate of X1
< 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) { 46, 296 }: Central Line L(46, 296) { 1, 653 }: Central Line L(1, 653) { 3, 1047 }: Central Line L(3, 1047) { 282, 1721 }: Central Line L(282, 1721) { 1768, 2629 }: Central Line L(1768, 2629) { 1155, 2655 }: Central Line L(1155, 2655) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_652 = CROSSDIFFERENCE OF X(1) AND X(4) (7.2558, -0.6836) X_1 = INCENTER (0.5714, 0.2333) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_296 = ISOGONAL CONJUGATE OF X(243) (0.7214, -0.0918) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1047 = -CEVA CONJUGATE OF X(1) (0.5281, -0.0076) X_282 = -CROSS CONJUGATE OF X(9) (0.6199, 0.7507) X_1721 = MIMOSA TRANSFORM OF X(55) (0.6494, 0.4136) X_1768 = MIMOSA TRANSFORM OF X(521) (1.1429, -0.7582) X_2629 = CROSSSUM PU(74) (0.8256, -0.9132) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_2655 = CROSSDIFFERENCE OF PU(82) (-2.9838, -13.9181) X_2636 = CROSSSUM OF PU(76) (0.7677, -0.9415) A B C X652 X1 X46 X296 X653 X3 X1047 X282 X1721 X1768 X2629 X1155 X2655 X2636 (a, b, c) = (5, 6, 7) | AB = 1

X2636 (CROSSSUM OF PU(76)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A - \sec B)(\sec A - \sec C) - (\sec B - \sec C)^{2}\)
Search Value (6, 9, 13): \(30.137336561014\)
▸ Incident Central Lines6 lines

{1, 653}, {3, 1047}, {46, 296}, {282, 1721}, {1155, 2655}, {1768, 2629}

▸ Functional Relations3 relations