| 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,... | |
| 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... | |
| William Chauvenet, William Elwood Byerly - 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... | |
| William Chauvenet, William Elwood Byerly - 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... | |
| Edward Albert Bowser - Geometry - 1890 - 420 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,... | |
| 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... | |
| 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.... | |
| 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... | |
| George Albert Wentworth - Mathematics - 1896 - 68 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,... | |
| 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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