X1243

ISOGONAL CONJUGATE OF X1006

X1243 is the isogonal conjugate of X1006.
< 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) { 5, 72 }: Central Line L(5, 72) { 28, 54 }: Central Line L(28, 54) { 71, 517 }: Central Line L(71, 517) { 73, 942 }: Central Line L(73, 942) { 270, 1175 }: Central Line L(270, 1175) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1006 = INTERCEPT OF EULER LINE AND LINEX(9)X(48) (0.5190, 0.1517) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_54 = KOSNITA POINT (0.5880, 0.2176) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_942 = INCIRCLE-INVERSE OF X(36) (0.5878, 0.2633) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_1175 = 1st SARAGOSSA POINT OF X(65) (0.5976, 0.2549) X_1243 = ISOGONAL CONJUGATE OF X(1006) (0.6077, 0.3247) A B C X1006 X5 X72 X28 X54 X71 X517 X73 X942 X270 X1175 X1243 (a, b, c) = (5, 6, 7) | AB = 1

X1243 (ISOGONAL CONJUGATE OF X1006) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1006
Search Value (6, 9, 13): \(-1.051216605762\)
▸ Incident Central Lines5 lines

{5, 72}, {28, 54}, {71, 517}, {73, 942}, {270, 1175}

▸ Functional Relations1 relation