X3919

X381com[INVERSE(n(HEXYL 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) { 517, 549 }: Central Line L(517, 549) { 1, 1392 }: Central Line L(1, 1392) { 1159, 1376 }: Central Line L(1159, 1376) { 354, 2802 }: Central Line L(354, 2802) { 942, 3244 }: Central Line L(942, 3244) 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_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_549 = MIDPOINT OF X(2) AND X(3) (0.5187, 0.1510) X_1 = INCENTER (0.5714, 0.2333) X_1392 = ISOGONAL CONJUGATE OF X(1388) (0.6149, 0.4463) X_1159 = GREENHILL POINT (0.5934, 0.2737) X_1376 = EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE) (0.5265, 0.2074) X_354 = WEILL POINT (0.5823, 0.2533) X_2802 = ISOGONAL CONJUGATE OF X(2718) (1.0529, -0.0806) X_942 = INCIRCLE-INVERSE OF X(36) (0.5878, 0.2633) X_3244 = REFLECTION OF X(10) IN X(1) (0.6224, 0.2833) X_3919 = com[INVERSE(n(HEXYL TRIANGLE))] (0.5762, 0.2566) A B C X10 X12 X517 X549 X1 X1392 X1159 X1376 X354 X2802 X942 X3244 X3919 (a, b, c) = (5, 6, 7) | AB = 1

X3919 (X381com[INVERSE(n(HEXYL 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 \(f(a,b,c) = a(b + c)(2b^{2} + 2c^{2} - 2a^{2} - 5bc)\)
Search Value (6, 9, 13): \(1.386117187005\)
▸ Incident Central Lines7 lines

{1, 1392}, {10, 12}, {354, 2802}, {517, 549}, {942, 3244}, {1159, 1376}, {1621, 3245}