X3828

X210com(4th EULER TRIANGLE)

X3828 = midpoint of X2 and X10
< 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) { 2, 10 }: Nagel Line { 1, 2 }: Nagel Line { 115, 121 }: Central Line L(115, 121) { 12, 553 }: Central Line L(12, 553) { 381, 516 }: Central Line L(381, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_1 = INCENTER (0.5714, 0.2333) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_553 = POINT MAIA II (0.5963, 0.2857) X_381 = MIDPOINT OF X(2) AND X(4) (0.5748, 0.2979) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_3828 = com(4th EULER TRIANGLE) (0.5289, 0.1916) A B C X2 X10 X1 X115 X121 X12 X553 X381 X516 X3828 (a, b, c) = (5, 6, 7) | AB = 1

X3828 (X210com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(3 r - 10 R \sin B \sin C : :\)
Barycentrics: \(2a+5b+5c : :\)
Search Value (6, 9, 13): \(2.864133863247\)
▸ Linear Combinations1 combination
▸ Incident Central Lines16 lines

{1, 2}, {12, 553}, {40, 3545}, {115, 121}, {165, 3543}, {375, 2392}, {381, 516}, {515, 549}, {517, 547}, {537, 3739}, {756, 1739}, {758, 3740}, {903, 1268}, {946, 3654}, {1656, 3656}, {3526, 3653}

▸ Functional Relations4 relations