Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryCollins & Hannay, 1860 - 333 páginas |
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Página 214
... cylinder and a parallelopiped having equal bases and altitudes , are equal to one another . Let ABCD be a cylinder , and EF a parallelopiped having equal bases , viz . the circle AGB and the parallelogram EH , and having also equal ...
... cylinder and a parallelopiped having equal bases and altitudes , are equal to one another . Let ABCD be a cylinder , and EF a parallelopiped having equal bases , viz . the circle AGB and the parallelogram EH , and having also equal ...
Página 215
... cylinder BFKG . If not , let the cone ABCD be the third part of another cylinder LMNO , having the same altitude with the cylinder BFKG , but let the bases BCD and LIM be unequal ; and first , let BCD be greater than LIM . B E H I M I ...
... cylinder BFKG . If not , let the cone ABCD be the third part of another cylinder LMNO , having the same altitude with the cylinder BFKG , but let the bases BCD and LIM be unequal ; and first , let BCD be greater than LIM . B E H I M I ...
Página 217
... cylinder generated by HB is less than W. In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than the cone by a solid less than the cylinder generated by the rectangle DN ...
... cylinder generated by HB is less than W. In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than the cone by a solid less than the cylinder generated by the rectangle DN ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore