Elements of Geometry and Trigonometry |
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Page 182
... follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii , it follows that the solidities of spheres are to each other as the cubes ...
... follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii , it follows that the solidities of spheres are to each other as the cubes ...
Page 223
... follows that tangent and cotangent will both be positive when the sine and cosine have like algebraic signs , and both negative , when the sine and cosine have contrary algebraic signs . Hence , the tangent and cotangent have the same ...
... follows that tangent and cotangent will both be positive when the sine and cosine have like algebraic signs , and both negative , when the sine and cosine have contrary algebraic signs . Hence , the tangent and cotangent have the same ...
Page 241
... follows . SOLUTION OF RECTILINEAL TRIANGLES BY MEANS OF LOGARITHMS . It has already been remarked , that in order to abridge the calculations which are necessary to find the unknown parts of a triangle , we use the logarithms of the ...
... follows . SOLUTION OF RECTILINEAL TRIANGLES BY MEANS OF LOGARITHMS . It has already been remarked , that in order to abridge the calculations which are necessary to find the unknown parts of a triangle , we use the logarithms 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