X2177

X2-ISOCONJUGATE OF X89

X2177 = X2099-Ceva conjugate of X1405
< 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) { 6, 31 }: Central Line L(6, 31) { 1, 88 }: Central Line L(1, 88) { 43, 748 }: Central Line L(43, 748) { 200, 756 }: Central Line L(200, 756) { 41, 1017 }: Central Line L(41, 1017) { 35, 1468 }: Central Line L(35, 1468) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1 = INCENTER (0.5714, 0.2333) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_748 = INTERSECTION OF LINES X(2)X(31) AND X(9)X(38) (0.4360, 0.0802) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_1017 = POINT ALFIRK (0.4054, 0.3972) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_1468 = -BETH CONJUGATE OF X(958) (0.6033, 0.2751) X_2177 = -ISOCONJUGATE OF X(89) (0.5755, 0.2311) A B C X6 X31 X1 X88 X43 X748 X200 X756 X41 X1017 X35 X1468 X2177 (a, b, c) = (5, 6, 7) | AB = 1

X2177 (X2-ISOCONJUGATE OF X89) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a (2 b + 2 c - a) : :\)
Search Value (6, 9, 13): \(1.637470337538\)
▸ Incident Central Lines16 lines

{1, 88}, {6, 31}, {33, 2181}, {35, 1468}, {41, 1017}, {43, 748}, {200, 756}, {519, 1150}, {574, 2223}, {612, 1962}, {751, 765}, {899, 1001}, {1064, 1480}, {1334, 2271}, {1471, 2078}, {1495, 2187}

▸ Functional Relations5 relations