Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

too complicated to be written here. Click on the link to download a text file.

X(4), X(12), X(37), X(55), X(71), X(72), X(209), X(1824), X(1826), X(2911), X(3690), X(15443)

vertices of the orthic triangle

points of pK(X6, X) on the line at infinity, see below

points of pK(X6, Y) on the circumcircle, see below

Geometric properties :

K1187 is a member of CL019 and the isogonal transform of pK(X593, X593 ÷ X3), a member of CL074.

K1187 is the isogonal pK having for pivot X(3690) with respect to the orthic triangle.

***

X = a (a^3 b^2-a b^4+a^3 b c+a^2 b^2 c-a b^3 c-b^4 c+a^3 c^2+a^2 b c^2+a b^2 c^2+b^3 c^2-a b c^3+b^2 c^3-a c^4-b c^4) : : on the lines {X7,X2979}, {X27,X3187}, SEARCH = -3.05141971415110.

Y = 2 a^6+2 a^5 b-a^4 b^2-2 a b^5-b^6+2 a^5 c-2 a^4 b c-2 a^3 b^2 c+2 a^2 b^3 c-a^4 c^2-2 a^3 b c^2+2 a^2 b^2 c^2+2 a b^3 c^2+b^4 c^2+2 a^2 b c^3+2 a b^2 c^3+b^2 c^4-2 a c^5-c^6 : : , SEARCH = -2.49138428751413.