Elements of Geometry and Trigonometry: From the Works of A. M. Legendre

ABCD altitude base called centre chord circle circumference circumscribed coincide common cone consequently construct corresponding cosine Cotang cylinder denote described diameter difference distance divided draw drawn edges equal EXAMPLES extremity faces feet figure formed Formula four frustum functions given greater half hence homologous included inscribed intersection less logarithm manner mean measured meet multiplied opposite parallel parallelogram parallelopipedon pass perpendicular placed plane pole polygon position principle prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular remaining result right angles RULE Scholium segment shown sides similar sine solution sphere spherical triangle square straight line surface taken tangent THEOREM third triangle triangle ABC unit upper vertex vertices volume whence