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" We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude. "
Elements of Geometry: With Practical Applications ... - Page 226
by George Roberts Perkins - 1847 - 308 pages
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...whose base and altitude would be the circumference and altitude of the cylinder. THEOREM TI. The volume of a cylinder is equal to the product of its base by its altitude. Let AB be a cylinder ; then /B will its volume be equal to the product of its base by its altitude. For,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 336 pages
...the radii of their bases. Suggestion. - = s RH R> IP - RH PROPOSITION III.— THEOREM. 11. The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H. Let the volume of...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 336 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume of a cylinder is equal to the product of its base by its altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume of a cylinder is equal to the product of its base by its altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 393 pages
...altitude is 20 feet and diameter of the base 8 feet. (612) Proposition 3. Theorem. 757. The volume of a cylinder is equal to the product of its base by its altitude. Hyp. Let V, B, H denote the volume of the cylinder, the area of its base, and its altitude,...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume of a cylinder is equal to the product of its base by its altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1894 - 456 pages
...cylinder of revolution, T= tirR x H+ 2TrI? = 2vB(II+ B). PROPOSITION XXXIII. THEOREM. 649. The volume of a cylinder is equal to the product of its base by its altitude. a Let V denote the volume, B the base, and H the altitude, of the cylinder AG. To prove V=BxH....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1894 - 380 pages
...therefore, S 8 H h + r) H+R RH r~h~ H' R* R H+R r ~ h + r R* * PROPOSITION III.—PROBLEM. 12. The volume of a cylinder is equal to the product of its base by its uttitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude by H. Let...
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Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 50 pages
...area, T the total area, H the altitude, and R the radius, of a cylinder of revolution, 649. The volume of a cylinder is equal to the product of its base by its altitude. 650. Cor. If V denotes the volume, .Rthe radius, If the altitude, of a cylinder of revolution,...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...XH; T = 2irBXH + 2 irS'1 = 2 7r-B (H + -B). PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =...
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