X885

ISOTOMIC CONJUGATE OF X883

X885 is the isotomic conjugate of X883.
< 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) { 104, 105 }: Central Line L(104, 105) { 1, 514 }: Central Line L(1, 514) { 7, 513 }: Central Line L(7, 513) { 9, 522 }: Central Line L(9, 522) { 21, 884 }: Central Line L(21, 884) { 673, 900 }: Central Line L(673, 900) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_883 = INTERSECTION OF LINES X(7)X(8) AND X(190)X(644) (1.5694, 1.4397) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1 = INCENTER (0.5714, 0.2333) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_7 = GERGONNE POINT (0.5903, 0.2769) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_9 = MITTENPUNKT (0.5110, 0.1615) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_884 = ISOGONAL CONJUGATE OF X(883) (1.0241, 0.0337) X_673 = TRILINEAR POLE OF LINE X(1)X(514) (0.9471, -0.0769) X_900 = CROSSDIFFERENCE OF X(6) AND X(101) (0.9566, 0.6107) X_885 = ISOTOMIC CONJUGATE OF X(883) (1.0518, 0.0256) A B C X883 X104 X105 X1 X514 X7 X513 X9 X522 X21 X884 X673 X900 X885 (a, b, c) = (5, 6, 7) | AB = 1

X885 (ISOTOMIC CONJUGATE OF X883) 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 \(u : v : w\) = X7
Barycentrics: \((b - c) (a - b - c)/(b^{2} + c^{2} - a b - a c) : :\)
Search Value (6, 9, 13): \(-2.685054307925\)
▸ Incident Central Lines7 lines

{1, 514}, {7, 513}, {9, 522}, {21, 884}, {104, 105}, {673, 900}, {919, 929}

▸ Functional Relations6 relations