## 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 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 given greater half hence homologous included inscribed intersect less logarithm lower base manner mean measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular placed plane plane MN polyedron polygon position prism PROBLEM proportional PROPOSITION proved pyramid radii radius rectangle regular respects right angles right-angled triangle Scholium segment Show shown sides similar sine solution sphere spherical triangle square straight line supplement surface taken tangent term THEOREM third triangle triangle ABC unit vertex vertices volume whence