X905

POINT ACHERNAR

X905 = X92-isoconjugate of X692
< 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) { 36, 238 }: Central Line L(36, 238) { 241, 514 }: Central Line L(241, 514) { 441, 525 }: Central Line L(441, 525) { 521, 656 }: Central Line L(521, 656) { 1053, 1054 }: Central Line L(1053, 1054) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1783 = MIMOSA TRANSFORM OF X(1262) (0.4733, 0.5954) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_441 = COMPLEMENT OF X(297) (0.3841, -0.2011) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_1053 = POINT ALHENA (0.7302, -0.1555) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_905 = POINT ACHERNAR (5.6190, -0.6999) A B C X1783 X36 X238 X241 X514 X441 X525 X521 X656 X1053 X1054 X905 (a, b, c) = (5, 6, 7) | AB = 1

X905 (POINT ACHERNAR) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b - c)\cot A: (c - a)\cot B: (a - b)\cot C\)
Barycentrics: \(a(b - c)(b^{2} + c^{2} - a^{2}) : :\)
Search Value (6, 9, 13): \(-8.612524310091\)
▸ Incident Central Lines5 lines

{36, 238}, {241, 514}, {441, 525}, {521, 656}, {1053, 1054}

▸ Functional Relations9 relations