 | Adrien Marie Legendre - 1822 - 394 σελίδες
...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... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...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... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...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... | |
 | Adrien Marie Legendre - 1825 - 276 σελίδες
...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... | |
 | Adrien Marie Legendre - 1825 - 570 σελίδες
...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... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 σελίδες
...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... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 σελίδες
...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... | |
 | Timothy Walker - 1829 - 138 σελίδες
...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... | |
 | Adrien Marie Legendre - 1830 - 344 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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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The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. 
