X3918

X140com[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) { 474, 1388 }: Central Line L(474, 1388) { 1125, 1387 }: Central Line L(1125, 1387) { 354, 3625 }: Central Line L(354, 3625) { 484, 3647 }: Central Line L(484, 3647) { 517, 3628 }: Central Line L(517, 3628) 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_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_1388 = POINT ANCHA (0.4835, 0.0718) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_1387 = MIDPOINT OF INCENTER AND FEUERBACH POINT (0.6531, 0.1500) X_354 = WEILL POINT (0.5823, 0.2533) X_3625 = H-1(X(1); M, -1/2) (0.4184, 0.0833) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_3647 = KS(MEDIAL TRIANGLE) (0.5073, 0.1490) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_3628 = H-1(X(5); M, 2) (0.5421, 0.2122) X_3918 = com[INVERSE(n(HEXYL TRIANGLE))] (0.5413, 0.2108) A B C X10 X12 X474 X1388 X1125 X1387 X354 X3625 X484 X3647 X517 X3628 X3918 (a, b, c) = (5, 6, 7) | AB = 1

X3918 (X140com[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 \(f(a,b,c) = a(b + c)(b^{2} + c^{2} - a^{2} - 5bc)\)
Search Value (6, 9, 13): \(2.456605778880\)
▸ Incident Central Lines8 lines

{10, 12}, {354, 3625}, {474, 1388}, {484, 3647}, {517, 3628}, {942, 3626}, {1125, 1387}, {3635, 3742}