X3573

TRILINEAR PRODUCT X6*X3570

X3573 = cevapoint of X238 and X659
< 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) { 1, 21 }: Central Line L(1, 21) { 100, 101 }: Central Line L(100, 101) { 99, 110 }: Central Line L(99, 110) { 109, 932 }: Central Line L(109, 932) { 2, 1083 }: Central Line L(2, 1083) { 666, 885 }: Central Line L(666, 885) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_99 = STEINER POINT (0.1109, 0.4322) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_932 = -CROSS CONJUGATE OF X(100) (0.0354, 0.3132) X_2 = CENTROID (0.5374, 0.2000) X_1083 = MIDPOINT OF X(105) AND X(644) (0.4771, 0.1213) X_666 = TRILINEAR POLE OF LINE X(2)X(11) (1.0982, 0.1428) X_885 = ISOTOMIC CONJUGATE OF X(883) (1.0518, 0.0256) X_3573 = TRILINEAR PRODUCT X(6)*X(3570) (1.7429, 1.7730) A B C X238 X659 X1 X21 X100 X101 X99 X110 X109 X932 X2 X1083 X666 X885 X3573 (a, b, c) = (5, 6, 7) | AB = 1

X3573 (TRILINEAR PRODUCT X6*X3570) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (a^{2} - bc)/(b - c)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-2.569614225612\)
▸ Incident Central Lines13 lines

{1, 21}, {2, 1083}, {99, 110}, {100, 101}, {109, 932}, {192, 2175}, {660, 2284}, {666, 885}, {692, 1492}, {785, 835}, {898, 901}, {1332, 1633}, {1618, 2397}

▸ Functional Relations7 relations