X3953

X3216com(INTOUCH TRIANGLE)

< 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 { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 10, 244 }: Central Line L(10, 244) { 321, 596 }: Central Line L(321, 596) { 38, 1125 }: Central Line L(38, 1125) { 8, 1739 }: Central Line L(8, 1739) { 758, 1201 }: Central Line L(758, 1201) 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_3 = CIRCUMCENTER (0.5000, 0.1021) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_596 = ISOGONAL CONJUGATE OF X(595) (0.4466, 0.1390) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_8 = NAGEL POINT (0.4694, 0.1333) X_1739 = MIMOSA TRANSFORM OF X(106) (1.3810, 0.6999) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_1201 = 3rd SARAGOSSA POINT OF X(56) (0.6184, 0.2793) X_3953 = com(INTOUCH TRIANGLE) (0.5414, 0.1780) A B C X1 X3 X10 X244 X321 X596 X38 X1125 X8 X1739 X758 X1201 X3953 (a, b, c) = (5, 6, 7) | AB = 1

X3953 (X3216com(INTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a (b^{3} + c^{3} + a b^{2} + a c^{2} - 2 a b c) : :\)
Search Value (6, 9, 13): \(2.482075955092\)
▸ Incident Central Lines19 lines

{1, 3}, {8, 1739}, {10, 244}, {21, 3315}, {38, 1125}, {39, 3726}, {321, 596}, {474, 3242}, {496, 3782}, {518, 3216}, {551, 2292}, {595, 3218}, {614, 1724}, {758, 1201}, {984, 3624}, {1015, 3721}, {1421, 1935}, {1736, 3086}, {3293, 3555}