X2180

X2-ISOCONJUGATE OF X96

X2180 = X19-Ceva conjugate of X1953
< 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) { 31, 48 }: Central Line L(31, 48) { 19, 91 }: Central Line L(19, 91) { 47, 563 }: Central Line L(47, 563) { 1953, 2179 }: Central Line L(1953, 2179) { 1195, 2183 }: Central Line L(1195, 2183) { 2253, 2355 }: Central Line L(2253, 2355) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_563 = TRILINEAR PRODUCT X(47)*X(48) (0.8122, 0.3243) X_2179 = -ISOCONJUGATE OF X(95) (0.6272, 0.3514) X_1195 = 3rd SARAGOSSA POINT OF X(19) (0.6245, 0.2796) X_2183 = -ISOCONJUGATE OF X(104) (1.5000, 2.4495) X_2253 = -ISOCONJUGATE OF X(917) (2.8966, 1.6893) X_2355 = -ISOCONJUGATE OF X(1796) (0.6268, 0.4312) X_2180 = -ISOCONJUGATE OF X(96) (0.7027, 0.4732) A B C X19 X1953 X31 X48 X91 X47 X563 X2179 X1195 X2183 X2253 X2355 X2180 (a, b, c) = (5, 6, 7) | AB = 1

X2180 (X2-ISOCONJUGATE OF X96) 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 X96
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.329812658189\)
▸ Incident Central Lines6 lines

{19, 91}, {31, 48}, {47, 563}, {1195, 2183}, {1953, 2179}, {2253, 2355}

▸ Functional Relations3 relations