X882

ISOTOMIC CONJUGATE OF X880

X882 is the isotomic conjugate of X880.
< 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) { 39, 512 }: Central Line L(39, 512) { 141, 523 }: Central Line L(141, 523) { 6, 688 }: Central Line L(6, 688) { 76, 826 }: Central Line L(76, 826) { 733, 755 }: Central Line L(733, 755) { 691, 805 }: Central Line L(691, 805) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_880 = INTERSECTION OF LINES X(6)X(76) AND X(99)X(670) (-2.0234, -2.0829) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_688 = CROSSDIFFERENCE OF X(6) AND X(76) (1.0103, -0.1475) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) X_733 = EVEN (- 2, 2) CIRCUMCIRCLE POINT (1.0071, 0.0450) X_755 = EVEN (0, 4) CIRCUMCIRCLE POINT (0.9524, -0.1340) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_805 = o-(- 2, 2) CIRCUMCIRCLE POINT (0.9729, -0.0897) X_882 = ISOTOMIC CONJUGATE OF X(880) (0.9879, -0.0178) A B C X880 X39 X512 X141 X523 X6 X688 X76 X826 X733 X755 X691 X805 X882 (a, b, c) = (5, 6, 7) | AB = 1

X882 (ISOTOMIC CONJUGATE OF X880) 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 \(u : v : w\) = X6
Search Value (6, 9, 13): \(0.089443914750\)
▸ Incident Central Lines7 lines

{6, 688}, {39, 512}, {76, 826}, {141, 523}, {691, 805}, {694, 888}, {733, 755}

▸ Functional Relations6 relations