X3675

X1026com(INTOUCH TRIANGLE)

X3675 = crossdifference of every pair of points on line X100X650
< 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 { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 244, 665 }: Central Line L(244, 665) { 11, 1111 }: Central Line L(11, 1111) { 63, 1083 }: Central Line L(63, 1083) { 518, 1026 }: Central Line L(518, 1026) { 672, 1642 }: Central Line L(672, 1642) 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_3 = CIRCUMCENTER (0.5000, 0.1021) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1111 = TRILINEAR SQUARE OF X(514) (0.7470, 0.0849) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1083 = MIDPOINT OF X(105) AND X(644) (0.4771, 0.1213) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_1026 = INTERSECTION OF LINES X(1)X(2) AND X(100)X(101) (4.1429, 3.7326) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1642 = TRIPOLAR CENTROID OF X(100) (1.0821, 0.8398) X_3675 = com(INTOUCH TRIANGLE) (-0.5714, -1.8663) A B C X1 X3 X244 X665 X11 X1111 X63 X1083 X518 X1026 X672 X1642 X3675 (a, b, c) = (5, 6, 7) | AB = 1

X3675 (X1026com(INTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b - c)^{2}(b^{2} + c^{2} - ab - ac) : :\)
Search Value (6, 9, 13): \(5.196352003020\)
▸ Incident Central Lines12 lines

{1, 3}, {11, 1111}, {63, 1083}, {244, 665}, {518, 1026}, {672, 1642}, {764, 1647}, {1027, 2424}, {1357, 2821}, {1463, 1736}, {2310, 3020}, {3218, 3573}

▸ Functional Relations2 relations