X1224

ISOGONAL CONJUGATE OF X1203

X1224 is the isogonal conjugate of X1203.
< 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) { 12, 57 }: Central Line L(12, 57) { 10, 81 }: Central Line L(10, 81) { 274, 313 }: Central Line L(274, 313) { 1, 594 }: Central Line L(1, 594) { 2, 1089 }: Central Line L(2, 1089) { 1125, 1255 }: Central Line L(1125, 1255) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1203 = 3rd SARAGOSSA POINT OF X(58) (0.6034, 0.2712) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_274 = ISOGONAL CONJUGATE OF X(213) (0.5168, 0.1843) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_1 = INCENTER (0.5714, 0.2333) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_2 = CENTROID (0.5374, 0.2000) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_1255 = ISOGONAL CONJUGATE OF X(1100) (0.5639, 0.2247) X_1224 = ISOGONAL CONJUGATE OF X(1203) (0.5326, 0.1960) A B C X1203 X12 X57 X10 X81 X274 X313 X1 X594 X2 X1089 X1125 X1255 X1224 (a, b, c) = (5, 6, 7) | AB = 1

X1224 (ISOGONAL CONJUGATE OF X1203) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1203
Search Value (6, 9, 13): \(2.759567160844\)
▸ Incident Central Lines6 lines

{1, 594}, {2, 1089}, {10, 81}, {12, 57}, {274, 313}, {1125, 1255}

▸ Functional Relations1 relation