Elements of Geometry and Trigonometry |
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Page 147
... slant height of the pyramid : hence the area of all the tri- angles , or the convex surface of the pyramid , is equal to the perimeter of the base multiplied by half the slant height . Cor . The convex surface of the frustum of a ...
... slant height of the pyramid : hence the area of all the tri- angles , or the convex surface of the pyramid , is equal to the perimeter of the base multiplied by half the slant height . Cor . The convex surface of the frustum of a ...
Page 172
... slant height fh ( Book VII . Prop . IV . Cor . ) . Let now the number of sides of the inscribed polygons be indefinitely increased : the perimeters of the polygons will be- come equal to the circumferences BIA , EGD ; the slant ...
... slant height fh ( Book VII . Prop . IV . Cor . ) . Let now the number of sides of the inscribed polygons be indefinitely increased : the perimeters of the polygons will be- come equal to the circumferences BIA , EGD ; the slant ...
Page 286
... slant height , and the product will be the convex surface ( Book VII . Prop . IV . ) : to this add the area of the base , when the entire surface is required . 1. To find the convex surface of a regular triangular pyra- mid , the slant ...
... slant height , and the product will be the convex surface ( Book VII . Prop . IV . ) : to this add the area of the base , when the entire surface is required . 1. To find the convex surface of a regular triangular pyra- mid , the slant ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
adjacent altitude angle ACB ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex