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" The solidity of a cylinder is equal to the area of its base multiplied by its altitude. "
A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ... - Page 36
by Nathan Scholfield - 1845
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...cube is used to express the third power of any number. 140. — The solidity of any paralltlopiped is equal to the area of its base multiplied by its altitude — . This will be evident if we prove that — any parallelepiped is equivalent to a right parallelopipcd...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...The convex surface of a cylinder is equal, $e. PROPOSITION II. THEOREM. The solidity of a cylinder is equal to the area of its base, multiplied by its altitude. Let H be the altitude of the given cylinder, RC the radius of its base, and the area of its base be...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...also equal to the arc of its base multiplied by its altitude ; and its solidity, for the same reason, is equal to the area of its base multiplied by its altitude. a PROPOSITION II. THEOREM. If a plane cut a cylinder diagonally, passing through the opposite edges...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...also equal to the arc of its base multiplied by its altitude ; and its solidity, for the same reason, is equal to the area of its base multiplied by its altitude. PROPOSITION II. THEOREM. If a plane cut a cylinder diagonally, passing through the opposite edges of...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder is equal to the area of its base multiplied by its altitude. (r.) The convex surface of a cylinder is equal to the circumference of its base multiplied by. its...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder is equal to the area of its base multiplied by its altitude. (r ) The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude....
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Mensuration and Practical Geometry: Containing Tables of Weights and ...

Charles Haynes Haswell - Measurement - 1858 - 350 pages
...altitude of tlie cylinder, V = p r2 h ; or, since p r2 = the area of the base, The volume of a cylinder is equal to the area of its base multiplied by its altitude. EXAMPLE 2. To ascertain the Volume of the Frustrum of a Cone with a Circular Base. The generating curve...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - 1860 - 390 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder is equal to the area of its base multiplied by its altitude. (r ) The convex surface of a cylinder is equal to the circumferciu-c of its base multiplied by its...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...convex surface of a cylinder is equal to the circumference of its base multiplied l>y its altitude; and its solidity is equal to the area of its base multiplied by its altitude. Let ABCD be a cylinder, having Af a prism inscribed in it whose base is a regular polygon. Now, if...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 319 pages
...therefore the solids will be equivalent. Cor. Hence, we conclude, that the solidity of a prism or cylinder is equal to the area of its base multiplied by its altitude. \ \ , £ r\ Of Triangular Pyramid». THEOREM XV. Two triangular pyramids, having equivalent bases and...
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