Elements of Geometry and Trigonometry |
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Page 74
... altitudes ; and parallelograms of the same altitude are to each other as their bases : for , let B be the common base , and C and D the altitudes of two parallelograms : then , BXC B × D :: C : D , ( Book II . Prop . VII . ) And if A ...
... altitudes ; and parallelograms of the same altitude are to each other as their bases : for , let B be the common base , and C and D the altitudes of two parallelograms : then , BXC B × D :: C : D , ( Book II . Prop . VII . ) And if A ...
Page 158
... altitude . In the third place , any prism may be divided into as many triangular prisms of the same . altitude , as there are triangles capable of being formed in the polygon which constitutes its base . But the solidity of each ...
... altitude . In the third place , any prism may be divided into as many triangular prisms of the same . altitude , as there are triangles capable of being formed in the polygon which constitutes its base . But the solidity of each ...
Page 170
... altitude . Let the circle whose radius is CA be repre- sented by area CA , it is to be proved that the solidity of ... altitude equal Η ΚΑ G F B D E to H , the altitude of the cylinder : this prism will be inscribed in the cylinder . The ...
... altitude . Let the circle whose radius is CA be repre- sented by area CA , it is to be proved that the solidity of ... altitude equal Η ΚΑ G F B D E to H , the altitude of the cylinder : this prism will be inscribed in the cylinder . The ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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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