X886

INTERSECTION OF LINES X99X_669 AND X512X_670

X886 = trilinear pole of line X2X670
< 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) { 99, 669 }: Central Line L(99, 669) { 512, 670 }: Central Line L(512, 670) { 880, 892 }: Central Line L(880, 892) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_887 = ISOGONAL CONJUGATE OF X(886) (0.9418, 1.4114) X_99 = STEINER POINT (0.1109, 0.4322) X_669 = CROSSDIFFERENCE OF X(2) AND X(39) (-4.3514, 4.6163) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_880 = INTERSECTION OF LINES X(6)X(76) AND X(99)X(670) (-2.0234, -2.0829) X_892 = ISOGONAL CONJUGATE OF X(351) (1.0590, 0.0699) X_886 = INTERSECTION OF LINES X(99)X(669) AND X(512)X(670) (0.7371, -0.1549) A B C X887 X99 X669 X512 X670 X880 X892 X886 (a, b, c) = (5, 6, 7) | AB = 1

X886 (INTERSECTION OF LINES X99X_669 AND X512X_670) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a^{2}u^{2} - bcvw)/[a^{2}u(bv - cw)] : :\), where \(u : v : w\) = X512
Barycentrics: \(b^{2} c^{2}/((b^{2} - c^{2}) (a^{2} b^{2} + a^{2} c^{2} - 2 b^{2} c^{2})) : :\)
Search Value (6, 9, 13): \(4.726589555271\)

X886 lies on the Steiner circumellipse.

▸ Incident Central Lines4 lines

{99, 669}, {512, 670}, {538, 3228}, {880, 892}

▸ Functional Relations4 relations