Geometry Professionalized for Teachers

ABCD acute angle analysis analytic method angles are equal angles equal axioms bisects Ceva's Theorem Chapter chord commensurable conclusion Construct a triangle converse cut a third definitions demonstrative geometry diagonal diameter discover draw drawn equal angles equal respectively equal segments equal sides Euclid Euclidean geometry EULER'S LINE exercises given circle given line given point heuristic high-school geometry high-school text hypotenuse hypothesis illustration inches incommensurable indirect proof induction inscribed interior angles intersect isosceles triangle line segment locus Mathematics Teacher Menelaus nine-point circle number of sides opposite sides parallel lines cut parallelogram pattern plane geometry polygon possible postulates prism problems proved quadrilateral radical axis radius ratio right angle right triangle secant similar triangles square statement straight line student subject-matter tangent teaching geometry technique three sides tion triangle ABC triangles are congruent triangles are similar true vertex vertices