X804

ODD (- 2, 2) INFINITY POINT

As the isogonal conjugate of a point on the circumcircle, X804 lies on the line at infinity.
< 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) { 2, 351 }: Central Line L(2, 351) { 30, 511 }: Central Line L(30, 511) { 99, 670 }: Central Line L(99, 670) { 147, 684 }: Central Line L(147, 684) { 98, 878 }: Central Line L(98, 878) { 115, 1084 }: Central Line L(115, 1084) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_805 = o-(- 2, 2) CIRCUMCIRCLE POINT (0.9729, -0.0897) X_2 = CENTROID (0.5374, 0.2000) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_99 = STEINER POINT (0.1109, 0.4322) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_684 = CROSSDIFFERENCE OF X(4) AND X(32) (-1.3586, -0.3494) X_98 = TARRY POINT (0.8891, -0.2281) X_878 = ISOGONAL CONJUGATE OF X(877) (1.1192, 0.0431) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_1084 = CROSSPOINT OF X(2) AND X(512) (0.8090, 0.1525) X_804 = ODD (- 2, 2) INFINITY POINT (0.9171, 0.6474) A B C X805 X2 X351 X30 X511 X99 X670 X147 X684 X98 X878 X115 X1084 X804 (a, b, c) = (5, 6, 7) | AB = 1

X804 (ODD (- 2, 2) INFINITY POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a ^{-3}(b^{2} - c^{2}) + a^{1}(b ^{-2} - c ^{-2}) : :\)
▸ Incident Central Lines7 lines

{2, 351}, {30, 511}, {98, 878}, {99, 670}, {115, 1084}, {147, 684}, {669, 850}

▸ Functional Relations12 relations