Elements of Geometry and Trigonometry |
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Page 152
... parallelopipedon will be equivalent to the parallelopipedon AG , since with the same lower base , their upper bases lie in the same plane and between the same parallels , GQ , FN ( Prop . VIII . ) . For the same reason , this third ...
... parallelopipedon will be equivalent to the parallelopipedon AG , since with the same lower base , their upper bases lie in the same plane and between the same parallels , GQ , FN ( Prop . VIII . ) . For the same reason , this third ...
Page 153
... parallelopipedon equivalent to AG , and consequently , the parallelopipedon required . But if ABCD is not a rectangle , draw AO and BN perpendicular to CD , and MO OQ and NP perpendicular to the base ; you will then have the solid ABNO ...
... parallelopipedon equivalent to AG , and consequently , the parallelopipedon required . But if ABCD is not a rectangle , draw AO and BN perpendicular to CD , and MO OQ and NP perpendicular to the base ; you will then have the solid ABNO ...
Page 154
... parallel to the base . These planes will cut the solid AG into 15 partial parallelopipedons , all equal to each ... parallelopipedon , whose base is ABCD , and altitude Am ; since the altitudes AE , Am , are to each other as the two ...
... parallel to the base . These planes will cut the solid AG into 15 partial parallelopipedons , all equal to each ... parallelopipedon , whose base is ABCD , and altitude Am ; since the altitudes AE , Am , are to each other as the two ...
Page 156
... parallelopipedons are to each other , & c . Scholium . We are consequently authorized to assume , as the measure of a rectangular parallelopipedon , the product of its base by its altitude , in other words , the product of its three ...
... parallelopipedons are to each other , & c . Scholium . We are consequently authorized to assume , as the measure of a rectangular parallelopipedon , the product of its base by its altitude , in other words , the product of its three ...
Page 157
... parallelopipedon , and generally of any prism , is equal to the product of its base by its altitude . For , in the first place , any parallelopipedon is equivalent to a rectangular parallelopipedon , having the same altitude and an ...
... parallelopipedon , and generally of any prism , is equal to the product of its base by its altitude . For , in the first place , any parallelopipedon is equivalent to a rectangular parallelopipedon , having the same altitude and an ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex