X2157

X2-ISOCONJUGATE OF X23

X2157 = cevapoint of X38 and X896
< 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) { 67, 71 }: Central Line L(67, 71) { 38, 163 }: Central Line L(38, 163) { 19, 1109 }: Central Line L(19, 1109) { 48, 2247 }: Central Line L(48, 2247) { 935, 2249 }: Central Line L(935, 2249) { 2159, 2312 }: Central Line L(2159, 2312) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_2247 = -ISOCONJUGATE OF X(842) (-2.6200, 4.6921) X_935 = POINT ALCOR (0.8281, 0.4929) X_2249 = -ISOCONJUGATE OF X(851) (0.8254, -0.2910) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) X_2312 = -ISOCONJUGATE OF X(1297) (0.6610, 2.9062) X_2157 = -ISOCONJUGATE OF X(23) (0.8254, -0.2862) A B C X38 X896 X67 X71 X163 X19 X1109 X48 X2247 X935 X2249 X2159 X2312 X2157 (a, b, c) = (5, 6, 7) | AB = 1

X2157 (X2-ISOCONJUGATE OF X23) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X23
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(8.689840742597\)
▸ Incident Central Lines6 lines

{19, 1109}, {38, 163}, {48, 2247}, {67, 71}, {935, 2249}, {2159, 2312}

▸ Functional Relations4 relations