Euclidean Geometry and Transformations

ABCD algebra altitude analytic representation bilinear transformation bisector of angle bisects central inversion Ceva's theorem Cevians circumcenter circumcircle commute complex numbers construct Definition denote diagonals diameter direct isometry Draw circle equal equation Euclidean Euclidean geometry Exercise Set Find fixed point Gauss plane given circle given point given triangle glide-reflection halfturn Hence homothety hypotenuse ideal point intersection involutoric isogonal conjugate length maps triangle mathematics medial triangle medians meet Menelaus midpoint mirror Modern Elementary Geometry ninepoint circle Numbers in Geometry opposite isometry orthic triangle orthocenter orthocentric quadrangle orthogonal parallel parallelogram perpendicular bisector Problem product of reflections proof of Theorem Prove Corollary Prove Theorem radius ratio real numbers reflections in planes right triangle rotation Show side BC similar square tangent theorem follows trapezoid triangle ABC Vectors and Complex vertex vertices