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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre
Adrien Marie Legendre
Uten tilgangsbegrensning - 1867
adjacent angles altitude apothem Applying logarithms base and altitude base multiplied bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet Find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prism triedral angle upper base vertex vertices whence
Side 28 - If two triangles have two sides of the one equal to two sides of the...
Side 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Side 59 - A chord is a straight line joining the extremities of an arc.
Side 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Side 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Side 123 - Similar triangles are to each other as the squares of their homologous sides.