## 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 Book 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 Equation EXAMPLES extremity faces feet figure formed Formula four frustum given greater half hence homologous inscribed intersection less logarithm lower manner mean measured meet multiplied opposite parallel parallelogram parallelopipedon pass perpendicular placed plane polyedron polygon position principle prism PROBLEM proportional PROPOSITION proved pyramid radii radius rectangle regular remaining right angles RULE Scholium segment shown sides similar Sine solution sphere spherical triangle square straight line surface taken Tang tangent THEOREM third triangle triangle ABC unit upper vertex vertices volume whence