X3996

X181com[INVERSE(n(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 { 8, 21 }: Central Line L(8, 21) { 200, 312 }: Central Line L(200, 312) { 171, 519 }: Central Line L(171, 519) { 145, 940 }: Central Line L(145, 940) { 10, 3750 }: Central Line L(10, 3750) { 190, 3681 }: Central Line L(190, 3681) 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_8 = NAGEL POINT (0.4694, 0.1333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_940 = POINT ALDEBARAN (0.5757, 0.2411) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_3750 = com[n(MEDIAL)*n(INCENTRAL)] (0.5660, 0.2234) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_3681 = com(EXTOUCH TRIANGLE) (0.4476, 0.0933) X_3996 = com[INVERSE(n(INTOUCH TRIANGLE))] (0.4323, 0.1059) A B C X1 X8 X21 X200 X312 X171 X519 X145 X940 X10 X3750 X190 X3681 X3996 (a, b, c) = (5, 6, 7) | AB = 1

X3996 (X181com[INVERSE(n(INTOUCH 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 \(f(a,b,c) = (b + c - a)(a^{2} - ab - ac - bc)\)
Search Value (6, 9, 13): \(5.122459324391\)
▸ Incident Central Lines14 lines

{8, 21}, {10, 3750}, {145, 940}, {171, 519}, {190, 3681}, {200, 312}, {210, 3685}, {239, 3744}, {1222, 3621}, {2321, 3684}, {3210, 3242}, {3550, 3632}, {3689, 3706}, {3696, 3757}