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" THEOREM. 7?/6 convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. "
Elements of Geometry and Trigonometry Translated from the French of A.M ... - Page 165
by Charles Davies - 1849 - 359 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...base multiplied by the altitude cannot measure the surface of a greater cylinder. Hence, finally, the convex surface of a cylinder is equal to the circumference of its base, multiplied by the altitude. PROPOSITION V. THEOREM. The solidity of a cone is equal to the product of its base by...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...cylinder is less than that of any Fig. 253. circumscribed prism BCDKLH (fig. 253). THEOREM. 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig. 258. Demonstration. Let CA. (fig. 258) be the radius of the base of the given cylinder, H its...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...of the cylinder is less than that of any Fig. 253. circumscribed prism BCDKLH (fig. 253). / 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Fig. 258. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder, H its altitude...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...cylinder is less than that of any Pig. 253. circumscribed prism BCDKLH (fig. 253). THEOREM. 523. The convex surface of a cylinder is equal to the circumference of its base midliplied by its altitude. Fig. 258. Demonstration. Let CA (Jig. 258) be the radius of the base of...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828
...Again, lemma 522 may be omitted, being only introduced for the sake of demonstrating theorem 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Now it has already been demonstrated, lemma 520, that ' the convex surface of a right prism, is equal...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828
...Again, lemma 522 may be omitted, being only introduced for the sake of demonstrating theorem 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Now it has already been demonstrated, lemma 520, that ' the convex surface of a right prism, is equal...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...fig. of Art. 512.) THEOREM. 523. The convex surface of a cylinder is equal to the circumference of Us base multiplied by its altitude. Let CA be the radius of the given cylinder's base, H its altitude ; the circumference whose radius is CA, being represented by circ. CA, we are to show...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...that the convex surface=C x A, for (C x R) + (C x A) = ( A+R) x C. We are to demonstrate that — the convex surface of a cylinder is equal to the circumference- of its base multiplied by its altitude — . This will be evident if it be admitted that — the cylinder is a right prism of an infinite...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...be less than that of any circumscribed prism BCDKLH. (See the fig. of Art. 512.) THEOREM. 533. The con-vex surface of a cylinder is equal to the circumference...Let CA be the radius of the given cylinder's base, H its altitude ; the circumference whose radius is CA, being represented by arc. CA, we are to show...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...perimeter of its base multiplied by H, whatever be the number of sides : hence, the convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude. PROPOSITION II. THEOREM. The solidity of a cylinder is equal to the product of its base by its altitude....
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