## 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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angle ACB apothem Applying logarithms axis base and altitude base multiplied bisect centre chord circle circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal altitudes equal in volume equal to AC equal to half equally distant Formula frustum given angle given straight line greater hence homologous homologous sides hypothenuse included angle inscribed angle inscribed polygon intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangular triangular prisms triedral angle upper base vertex vertices whence