X2599

SUM OF PU(69)

X2599 = X1-Ceva conjugate of X2594
< 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) { 1, 54 }: Central Line L(1, 54) { 35, 186 }: Central Line L(35, 186) { 12, 523 }: Central Line L(12, 523) { 201, 517 }: Central Line L(201, 517) { 5, 1087 }: Central Line L(5, 1087) { 655, 2595 }: Central Line L(655, 2595) 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_2594 = SUM OF PU(68) (0.5791, 0.2254) X_54 = KOSNITA POINT (0.5880, 0.2176) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_1087 = TRILINEAR SQUARE OF X(5) (0.5422, 0.2643) X_655 = TRILINEAR POLE OF LINE X(1)X(5) (1.0449, 0.2400) X_2595 = CROSSSUM OF PU(68) (0.5650, 0.2411) X_2599 = SUM OF PU(69) (0.5631, 0.2411) A B C X1 X2594 X54 X35 X186 X12 X523 X201 X517 X5 X1087 X655 X2595 X2599 (a, b, c) = (5, 6, 7) | AB = 1

X2599 (SUM OF PU(69)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\sec(C- A) + \sec(B - A) : :\)
Search Value (6, 9, 13): \(8.598846170252\)
▸ Incident Central Lines9 lines

{1, 54}, {5, 1087}, {12, 523}, {35, 186}, {201, 517}, {655, 2595}, {2171, 2260}, {2594, 2611}, {2600, 2604}

▸ Functional Relations5 relations