## 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 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 height hence homologous included inscribed intersection less logarithm lower base manner mean measured meet multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular placed plane plane MN polyedron polygon position prism PROBLEM proportional PROPOSITION proved pyramid radii radius rectangle regular right angles RULE Scholium segment shown sides similar sine solution sphere spherical triangle square straight line taken Tang tangent term THEOREM third triangle triangle ABC unit vertex vertices volume whence