Elements of Geometry and Trigonometry |
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Page 169
... convex surface of the cylinder is equal to circ . CA × H. Inscribe in the circle any regular polygon , BDEFGA , and construct on this polygon a right H A G F B D E prism having its altitude equal to H , the altitude of the cylin- der ...
... convex surface of the cylinder is equal to circ . CA × H. Inscribe in the circle any regular polygon , BDEFGA , and construct on this polygon a right H A G F B D E prism having its altitude equal to H , the altitude of the cylin- der ...
Page 171
... convex sur- face be equal to circ . OA × SA . For , inscribe in the base of A the cone any regular polygon ABCD , and on this polygon as a base conceive a pyramid to be constructed having S for its vertex : this pyramid will be a ...
... convex sur- face be equal to circ . OA × SA . For , inscribe in the base of A the cone any regular polygon ABCD , and on this polygon as a base conceive a pyramid to be constructed having S for its vertex : this pyramid will be a ...
Page 286
... 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 height being 20 feet , and each side of 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 height being 20 feet , and each side of the ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC 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 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex