X1227

ISOTOMIC CONJUGATE OF X1168

X1227 is the isotomic conjugate of X1168.
< 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) { 63, 190 }: Central Line L(63, 190) { 75, 537 }: Central Line L(75, 537) { 321, 545 }: Central Line L(321, 545) { 320, 758 }: Central Line L(320, 758) { 1086, 1211 }: Central Line L(1086, 1211) { 313, 1232 }: Central Line L(313, 1232) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1168 = 1st SARAGOSSA POINT OF X(36) (1.0000, 0.0000) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_537 = DIRECTION OF VECTOR AX + BX + CX, where X = X(38) (-0.0190, 0.3866) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_545 = DIRECTION OF VECTOR AX + BX + CX, where X = X(190) (-0.0013, 0.4328) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_1086 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(7)|} (0.7687, 0.1000) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_1232 = ISOTOMIC CONJUGATE OF X(1173) (0.4449, 0.1194) X_1227 = ISOTOMIC CONJUGATE OF X(1168) (0.2551, 0.2499) A B C X1168 X63 X190 X75 X537 X321 X545 X320 X758 X1086 X1211 X313 X1232 X1227 (a, b, c) = (5, 6, 7) | AB = 1

X1227 (ISOTOMIC CONJUGATE OF X1168) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c)) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1168
Search Value (6, 9, 13): \(4.972290869789\)
▸ Incident Central Lines7 lines

{63, 190}, {75, 537}, {313, 1232}, {320, 758}, {321, 545}, {1086, 1211}, {1234, 1269}

▸ Functional Relations1 relation