X2835

ISOGONAL CONJUGATE OF X2751

< 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) { 31, 57 }: Central Line L(31, 57) { 120, 124 }: Central Line L(120, 124) { 30, 511 }: Central Line L(30, 511) { 102, 1292 }: Central Line L(102, 1292) { 1, 1633 }: Central Line L(1, 1633) { 19, 1743 }: Central Line L(19, 1743) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2751 = SR(X(105), X(109)) (-0.0078, 0.1527) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1 = INCENTER (0.5714, 0.2333) X_1633 = TCC-PERSPECTOR OF X(651) (0.2619, 0.5832) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_2835 = ISOGONAL CONJUGATE OF X(2751) (0.9262, -0.2396) A B C X2751 X31 X57 X120 X124 X30 X511 X102 X1292 X1 X1633 X19 X1743 X2835 (a, b, c) = (5, 6, 7) | AB = 1

X2835 (ISOGONAL CONJUGATE OF X2751) 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 at X2751
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 1633}, {19, 1743}, {30, 511}, {31, 57}, {102, 1292}, {120, 124}, {999, 1486}, {1122, 1358}

▸ Functional Relations1 relation