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" The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 251
by Benjamin Greenleaf - 1862 - 490 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...of the cylinder is equal to the great circle, its diameter AB being equal to MN ; hence (4. VIII.), the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter. This measure (10. VIII.) is the same as that of the surface...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...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
...of the cylinder is equal to a great circte, since it has for a diameter AB equal to MN; consequently the convex surface of the cylinder is equal to -the 'circumference of -a great circle multiplied by its diameter (523). This measure is the same as that of the surface of...
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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
...the cylinder is equal to a great circle, since it has for a diameter JlB equal to MN; consequently the convex surface of the cylinder is equal to the circumference of a great circle multiplied by its dhimeter (523). This measure is the same as that of the surface of...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...of the cylinder is equal to a great circle, since it has for a diameter AB equal to MN; consequently the convex surface of the cylinder is equal to the circumference of a great circle multiplied by its diameter (523). This measure is the same as that of the surface of...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828
...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
...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: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...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
...any circumscribed prism BCDKLH. (See the fig. of Art. 512.) THEOREM. 533. The con-vex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let CA be the radius of the given cylinder's base, H its altitude ; the circumference whose radius...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...the base of the cylinder is equal to the great circle, since its diameter AB is equal to MN ; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Prop. 1.). This measure is the same as that of the surface...
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