X3798

X3239com[INVERSE(nT(a², a² - c²))]

< 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) { 239, 514 }: Central Line L(239, 514) { 900, 2487 }: Central Line L(900, 2487) { 812, 3676 }: Central Line L(812, 3676) { 2488, 3309 }: Central Line L(2488, 3309) { 2254, 3667 }: Central Line L(2254, 3667) { 2786, 3239 }: Central Line L(2786, 3239) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_900 = CROSSDIFFERENCE OF X(6) AND X(101) (0.9566, 0.6107) X_2487 = RADICAL CENTER OF {INCIRCLE, SPIEKER CIRCLE, BEVAN CIRCLE} (-3.9847, 4.4241) X_812 = ODD (- 1, 1) INFINITY POINT (0.1586, -0.2483) X_3676 = com(INTOUCH TRIANGLE) (-4.3265, 3.5993) X_2488 = RADICAL CENTER OF {CIRCUMCIRCLE, INCIRCLE, BROCARD} (12.0571, -5.3189) X_3309 = ISOGONAL CONJUGATE OF X(1292) (0.0885, 0.5779) X_2254 = -ISOCONJUGATE OF X(919) (2.5714, 1.8663) X_3667 = com(INTOUCH TRIANGLE) (0.9481, -0.2192) X_2786 = ISOGONAL CONJUGATE OF X(2702) (0.9745, 0.5916) X_3239 = ISOGONAL CONJUGATE OF X(1461) (-7.7755, 1.1998) X_3798 = com[INVERSE(nT(a2, a2 - c2))] (-1.9184, 6.4487) A B C X239 X514 X900 X2487 X812 X3676 X2488 X3309 X2254 X3667 X2786 X3239 X3798 (a, b, c) = (5, 6, 7) | AB = 1

X3798 (X3239com[INVERSE(nT(a², a² - c²))]) 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 \(f(a,b,c) = (b - c)(b^{2} + c^{2} - 3a^{2})\)
Search Value (6, 9, 13): \(-13.334656019050\)
▸ Incident Central Lines6 lines

{239, 514}, {812, 3676}, {900, 2487}, {2254, 3667}, {2488, 3309}, {2786, 3239}