Elements of Geometry and Trigonometry
Barnes & Burr, 1863 - Geometry - 455 pages
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre
A. M. Legendre
No preview available - 2017
Common terms and phrases
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 intersection less logarithm lower base manner mean measured meet multiplied opposite parallel parallelogram parallelopipedon pass perpendicular placed plane plane MN polyedron polygon position principle prism proportional PROPOSITION proved pyramid radii radius rectangle regular 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
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 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.
Page 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.
Page 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.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...