Essentials of Plane Geometry

AB² ABCD AC and BD altitude h angle arc AC arc cutting base bisects circumscribed congruent Const construct the bisector Depends diagonals AC diameter draw AC draw an arc drawn equidistant equilateral figure of Ex find the locus Given the AABC Given the isosceles Given the line Given the OO Given the quadrilateral Given this figure hence hexagon hypotenuse inscribed LAOB LAPB Letting line segment midpoint numbered propositions Plan of Construction Plan of Proof Post produced PROP propositions in Book prove that arc quadrilateral quadrilateral ABCD radius draw regular polygon required locus Required to construct Required to find respectively rhombus secant showing that arc similar Similarly tangent triangle vertex vertices whence WXYZ ZAOB