X1175

1st SARAGOSSA POINT OF X65

X1175 = X513-cross conjugate of X110
< 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) { 3, 60 }: Central Line L(3, 60) { 21, 72 }: Central Line L(21, 72) { 28, 65 }: Central Line L(28, 65) { 35, 71 }: Central Line L(35, 71) { 58, 73 }: Central Line L(58, 73) { 69, 261 }: Central Line L(69, 261) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_261 = ISOTOMIC CONJUGATE OF X(12) (0.5072, 0.1625) X_1175 = 1st SARAGOSSA POINT OF X(65) (0.5976, 0.2549) A B C X442 X3 X60 X21 X72 X28 X65 X35 X71 X58 X73 X69 X261 X1175 (a, b, c) = (5, 6, 7) | AB = 1

X1175 (1st SARAGOSSA POINT OF X65) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1166)
Search Value (6, 9, 13): \(1.172893374408\)
▸ Incident Central Lines7 lines

{3, 60}, {21, 72}, {28, 65}, {35, 71}, {58, 73}, {69, 261}, {110, 942}

▸ Functional Relations4 relations