X2995

CD(X21)

X2995 = trilinear pole of line X905X1577
< 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) { 81, 92 }: Central Line L(81, 92) { 69, 313 }: Central Line L(69, 313) { 63, 321 }: Central Line L(63, 321) { 77, 1441 }: Central Line L(77, 1441) { 75, 1444 }: Central Line L(75, 1444) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3185 = -CEVA CONJUGATE OF X(6) (0.4936, 0.0219) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_1441 = -BETH CONJUGATE OF X(313) (0.5459, 0.2242) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1444 = -BETH CONJUGATE OF X(332) (0.4762, 0.0921) X_2995 = CD(X(21)) (0.6112, 0.5480) A B C X3185 X81 X92 X69 X313 X63 X321 X77 X1441 X75 X1444 X2995 (a, b, c) = (5, 6, 7) | AB = 1

X2995 (CD(X21)) 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) is as given just before X2979, using P = X21
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(10.870414085780\)
▸ Incident Central Lines5 lines

{63, 321}, {69, 313}, {75, 1444}, {77, 1441}, {81, 92}

▸ Functional Relations5 relations