X2949

EXCENTRAL-ISOGONAL CONJUGATE OF X35

X2949 is the excentral-isogonal conjugate of X35.
< 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) { 5, 9 }: Central Line L(5, 9) { 4, 191 }: Central Line L(4, 191) { 1, 201 }: Central Line L(1, 201) { 63, 411 }: Central Line L(63, 411) { 40, 1726 }: Central Line L(40, 1726) { 1158, 2951 }: Central Line L(1158, 2951) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_9 = MITTENPUNKT (0.5110, 0.1615) X_4 = ORTHOCENTER (0.6122, 0.3958) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_1 = INCENTER (0.5714, 0.2333) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_411 = EULER X(21)-2nd-SUBSTITUTION POINT (0.4414, -0.0514) X_40 = BEVAN POINT (0.4286, -0.0292) X_1726 = MIMOSA TRANSFORM OF X(75) (0.5578, 0.3872) X_1158 = CIRCUMCENTER OF EXTOUCH TRIANGLE (0.5179, 0.3262) X_2951 = EXCENTRAL-ISOGONAL CONJUGATE OF X(57) (0.4066, -0.1480) X_2949 = EXCENTRAL-ISOGONAL CONJUGATE OF X(35) (0.4528, 0.0487) A B C X35 X5 X9 X4 X191 X1 X201 X63 X411 X40 X1726 X1158 X2951 X2949 (a, b, c) = (5, 6, 7) | AB = 1

X2949 (EXCENTRAL-ISOGONAL CONJUGATE OF X35) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.292743738717\)
▸ Incident Central Lines6 lines

{1, 201}, {4, 191}, {5, 9}, {40, 1726}, {63, 411}, {1158, 2951}

▸ Functional Relations1 relation