X3956

X549com(EXTOUCH 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) { 10, 12 }: Central Line L(10, 12) { 519, 3740 }: Central Line L(519, 3740) { 1962, 3293 }: Central Line L(1962, 3293) { 2802, 3679 }: Central Line L(2802, 3679) { 3214, 3743 }: Central Line L(3214, 3743) { 3634, 3742 }: Central Line L(3634, 3742) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_3740 = com[n(INCENTRAL)*n(MEDIAL)] (0.5150, 0.1733) X_1962 = BICENTRIC SUM OF PU(32) (0.5646, 0.2243) X_3293 = SS(a → b + c) OF X(3) (0.6204, 0.2812) X_2802 = ISOGONAL CONJUGATE OF X(2718) (1.0529, -0.0806) X_3679 = com(EXTOUCH TRIANGLE) (0.5034, 0.1666) X_3214 = -CEVA CONJUGATE OF X(37) (0.7124, 0.3714) X_3743 = com[n(MEDIAL)*n(INCENTRAL)] (0.5612, 0.2198) X_3634 = H-1(X(10); M, 2) (0.5332, 0.1958) X_3742 = com[n(INCENTRAL)*n(MEDIAL)] (0.5599, 0.2266) X_3956 = com[EXTOUCH TRIANGLE) (0.5065, 0.1650) A B C X10 X12 X519 X3740 X1962 X3293 X2802 X3679 X3214 X3743 X3634 X3742 X3956 (a, b, c) = (5, 6, 7) | AB = 1

X3956 (X549com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(b^{2} + c^{2} - a^{2} + 5bc)\)
Search Value (6, 9, 13): \(3.527094370754\)
▸ Incident Central Lines6 lines

{10, 12}, {519, 3740}, {1962, 3293}, {2802, 3679}, {3214, 3743}, {3634, 3742}