X2997

CD(X28)

X2997 = cevapoint of X1 and X525
< 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) { 21, 75 }: Central Line L(21, 75) { 8, 313 }: Central Line L(8, 313) { 9, 321 }: Central Line L(9, 321) { 314, 561 }: Central Line L(314, 561) { 4, 916 }: Central Line L(4, 916) { 92, 1172 }: Central Line L(92, 1172) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2352 = -ISOCONJUGATE OF X(1751) (0.7063, 0.4810) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_8 = NAGEL POINT (0.4694, 0.1333) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_9 = MITTENPUNKT (0.5110, 0.1615) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_561 = ISOGONAL CONJUGATE OF 4th POWER POINT (0.4126, 0.1125) X_4 = ORTHOCENTER (0.6122, 0.3958) X_916 = -CEVA CONJUGATE OF X(3) (0.0224, -0.0814) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_2997 = CD(X(28)) (-0.1669, -0.0299) A B C X2352 X21 X75 X8 X313 X9 X321 X314 X561 X4 X916 X92 X1172 X2997 (a, b, c) = (5, 6, 7) | AB = 1

X2997 (CD(X28)) 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 = X28
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.259673058114\)

X2997 lies on the Feuerbach hyperbola.

▸ Incident Central Lines11 lines

{1, 1441}, {2, 2335}, {4, 916}, {8, 313}, {9, 321}, {21, 75}, {92, 1172}, {104, 1305}, {149, 2897}, {314, 561}, {322, 1320}

▸ Functional Relations4 relations