X2065

ORION TRANSFORM OF X98

X2065 = X3-cross conjugate of X98
< 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) { 98, 325 }: Central Line L(98, 325) { 460, 685 }: Central Line L(460, 685) { 248, 1570 }: Central Line L(248, 1570) { 232, 1692 }: Central Line L(232, 1692) { 511, 1976 }: Central Line L(511, 1976) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_98 = TARRY POINT (0.8891, -0.2281) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_460 = POINT ANTARES (0.6881, 0.5944) X_685 = TRILINEAR POLE OF LINE X(4)X(98) (0.7921, 0.4572) X_248 = -LINE CONJUGATE OF X(132) (0.8229, -0.0790) X_1570 = MOSES-CIRCLE INVERSE OF X(3) (0.4005, -0.0623) X_232 = -CEVA CONJUGATE OF X(132) (0.6919, 0.7779) X_1692 = RADICAL TRACE OF CIRCUMCIRCLE AND 2nd LEMOINE CIRCLE (0.7995, 0.5968) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1976 = TRILINEAR POLE OF PU(39) (1.0272, -0.3962) X_2065 = ORION TRANSFORM OF X(98) (1.2100, -0.0942) A B C X3 X98 X325 X460 X685 X248 X1570 X232 X1692 X511 X1976 X2065 (a, b, c) = (5, 6, 7) | AB = 1

X2065 (ORION TRANSFORM OF X98) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is given just above X2055, using X = X98
Search Value (6, 9, 13): \(7.386450364738\)
▸ Incident Central Lines5 lines

{98, 325}, {232, 1692}, {248, 1570}, {460, 685}, {511, 1976}

▸ Functional Relations4 relations