Geometry Professionalized for Teachers

ABCD acute angle analysis analytic method angles are equal angles equal axioms base and altitude bisects Ceva's Theorem Chapter chord circumference 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 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 lateral area line segment locus Mathematics Teacher 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 tangent teaching geometry three sides tion triangle ABC triangles are congruent triangles are similar true vertex vertices