## Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |

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ABCD altitude axis base called centre chord circle circumference circumscribed coincide common cone consequently construct convex surface corresponding cutting cylinder denote described diagonals diameter difference distance divided draw drawn edges equal extremity faces feet figure formed formula four frustum given given point greater half hence homologous included inscribed intersect less logarithm lower base manner mean measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular placed plane plane MN pole polyedron polygon position prism PROBLEM proportional PROPOSITION proved pyramid radii radius rectangle regular respects right angles Scholium segment Show shown sides similar sine solution sphere spherical triangle square straight line taken tangent term THEOREM third triangle triangle ABC unit upper vertex vertices volume whence