X201

X10-CEVA CONJUGATE OF X12

X201 = X10-Ceva conjugate of X12
< 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) { 9, 34 }: Central Line L(9, 34) { 33, 40 }: Central Line L(33, 40) { 38, 56 }: Central Line L(38, 56) { 37, 65 }: Central Line L(37, 65) { 72, 73 }: Central Line L(72, 73) { 109, 191 }: Central Line L(109, 191) 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_9 = MITTENPUNKT (0.5110, 0.1615) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_40 = BEVAN POINT (0.4286, -0.0292) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) A B C X10 X12 X9 X34 X33 X40 X38 X56 X37 X65 X72 X73 X109 X191 X201 (a, b, c) = (5, 6, 7) | AB = 1

X201 (X10-CEVA CONJUGATE OF X12) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A)[1 + \cos(B - C)] : (\cos B)[1 + \cos(C - A)] : (\cos C)[1 + \cos(A - B)]\)
Barycentrics: \((\sin 2A)[1 + \cos(B - C)] : (\sin 2B)[1 + \cos(C - A)] : (\sin 2C)[1 + \cos(A - B)]\)
Search Value (6, 9, 13): \(99.519892096135\)
▸ Incident Central Lines18 lines

{1, 212}, {9, 34}, {10, 225}, {12, 756}, {33, 40}, {37, 65}, {38, 56}, {55, 774}, {57, 975}, {63, 603}, {72, 73}, {109, 191}, {210, 227}, {220, 221}, {255, 1060}, {337, 348}, {388, 984}, {601, 920}

▸ Functional Relations5 relations