X3300

ISOGONAL CONJUGATE OF X3299

For a construction of the point X3300 see Ercole Suppa, euclid 5207.
< 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, 615 }: Central Line L(1, 615) { 57, 1373 }: Central Line L(57, 1373) { 499, 1123 }: Central Line L(499, 1123) { 498, 1336 }: Central Line L(498, 1336) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3299 = INTERSECTION OF LINES X(35)X(372) AND X(36)X(371) (0.5895, 0.2547) X_1 = INCENTER (0.5714, 0.2333) X_615 = ISOGONAL CONJUGATE OF X(589) (0.4337, 0.0885) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1373 = 1st GRIFFITHS POINT (0.5861, 0.2673) X_499 = {X(1),X(2)}-HARMONIC CONJUGATE OF X(498) (0.4458, 0.1102) X_1123 = PAASCHE POINT (0.5572, 0.2178) X_498 = YFF CONCURRENT CONGRUENT CIRCLES POINT (0.5518, 0.2140) X_1336 = ISOGONAL CONJUGATE OF X(1335) (0.6230, 0.5188) X_3300 = ISOGONAL CONJUGATE OF X(3299) (0.5513, 0.2121) A B C X3299 X1 X615 X57 X1373 X499 X1123 X498 X1336 X3300 (a, b, c) = (5, 6, 7) | AB = 1

X3300 (ISOGONAL CONJUGATE OF X3299) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(1 + 2 \sin A) : 1/(1 + 2 \sin B) : 1/(1 + 2 \sin C)\)
Barycentrics: \((\sin A)/(1 + 2 \sin A) : (\sin B)/(1 + 2 \sin B) : (\sin C)/(1 + 2 \sin C)\)
Search Value (6, 9, 13): \(2.161317721485\)
▸ Incident Central Lines4 lines

{1, 615}, {57, 1373}, {498, 1336}, {499, 1123}

▸ Functional Relations1 relation