X3669

X663com(INTOUCH TRIANGLE)

X3669 = pole wrt incircle of line X7X8
< 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) incircle: Incircle of △ABC { 56, 667 }: Central Line L(56, 667) { 241, 514 }: Central Line L(241, 514) { 65, 876 }: Central Line L(65, 876) { 57, 1022 }: Central Line L(57, 1022) { 513, 663 }: Central Line L(513, 663) { 109, 1308 }: Central Line L(109, 1308) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_876 = ISOTOMIC CONJUGATE OF X(874) (0.9873, -0.0185) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1022 = INTERSECTION OF LINES X(1)X(513) AND X(2)X(514) (1.0000, -0.0000) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1308 = COLLINGS TRANSFORM OF X(661) (1.0102, 0.0916) X_3669 = com(INTOUCH TRIANGLE) (-2.4762, 2.7994) A B C X1 X644 X56 X667 X241 X514 X65 X876 X57 X1022 X513 X663 X109 X1308 X3669 (a, b, c) = (5, 6, 7) | AB = 1

X3669 (X663com(INTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b - c)/(b + c - a) : :\)
Search Value (6, 9, 13): \(0.804908814027\)
▸ Incident Central Lines16 lines

{1, 3309}, {34, 2424}, {56, 667}, {57, 1022}, {65, 876}, {109, 1308}, {241, 514}, {278, 2401}, {513, 663}, {651, 3257}, {919, 934}, {1015, 1358}, {1019, 1429}, {1407, 2423}, {2526, 2530}, {4394, 4498}

▸ Functional Relations5 relations