| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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