X2148

X2-ISOCONJUGATE OF X5

X2148 = cevapoint of X48 and X563
< 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) { 47, 48 }: Central Line L(47, 48) { 54, 71 }: Central Line L(54, 71) { 1, 563 }: Central Line L(1, 563) { 163, 1953 }: Central Line L(163, 1953) { 19, 2190 }: Central Line L(19, 2190) { 63, 2167 }: Central Line L(63, 2167) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_54 = KOSNITA POINT (0.5880, 0.2176) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1 = INCENTER (0.5714, 0.2333) X_563 = TRILINEAR PRODUCT X(47)*X(48) (0.8122, 0.3243) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2190 = -ISOCONJUGATE OF X(216) (0.6223, 0.3794) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_2167 = -ISOCONJUGATE OF X(51) (0.5550, 0.1860) X_2148 = -ISOCONJUGATE OF X(5) (0.6157, 0.2500) A B C X47 X48 X54 X71 X1 X563 X163 X1953 X19 X2190 X63 X2167 X2148 (a, b, c) = (5, 6, 7) | AB = 1

X2148 (X2-ISOCONJUGATE OF X5) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a \sec(B - C) : b \sec(C - A): c \sec(A - B)\)
Barycentrics: \(a^{2}\sec(B - C) : b^{2}\sec(C - A): c^{2}\sec(A - B)\)
Search Value (6, 9, 13): \(-3.600709605785\)
▸ Incident Central Lines9 lines

{1, 563}, {19, 2190}, {47, 48}, {54, 71}, {63, 2167}, {163, 1953}, {228, 2361}, {933, 2249}, {2083, 2158}

▸ Functional Relations7 relations