X876

ISOTOMIC CONJUGATE OF X874

X876 is the isotomic conjugate of X874.
< 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) { 659, 665 }: Central Line L(659, 665) { 1, 512 }: Central Line L(1, 512) { 10, 514 }: Central Line L(10, 514) { 37, 513 }: Central Line L(37, 513) { 75, 523 }: Central Line L(75, 523) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_1 = INCENTER (0.5714, 0.2333) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_876 = ISOTOMIC CONJUGATE OF X(874) (0.9873, -0.0185) A B C X659 X665 X1 X512 X10 X514 X37 X513 X75 X523 X876 (a, b, c) = (5, 6, 7) | AB = 1

X876 (ISOTOMIC CONJUGATE OF X874) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(u(bv - cw)/(a^{2}u^{2} - bcvw) : :\), where \(u : v : w\) = X1
Search Value (6, 9, 13): \(0.111523510377\)
▸ Incident Central Lines9 lines

{1, 512}, {10, 514}, {37, 513}, {75, 523}, {291, 891}, {292, 659}, {295, 928}, {335, 900}, {741, 759}

▸ Functional Relations5 relations