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" 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. "
Elements of Geometry: With, Practical Applications - Σελίδα 233
των George Roberts Perkins - 1850 - 320 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry

Adrien Marie Legendre - 1819 - 208 σελίδες
...cylinder by its altitude should be the measure of a greater cylinder. ' We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude. 517. CoroUary i. Cylinders of the same altitude are to each other as their bases, and cylinders...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 σελίδες
...cylinder, multiplied by its altitude, cannot be the measure of 'a greater cylinder. Hence finally, the solidity of a cylinder is equal to the product of its base by its altitude. Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...smallest of all. Therefore the convex surface AB is less than any which encloses it. THEOREM. 516. The solidity of a cylinder is equal to the product of its base by its altitude. Fig. 258. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder,...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...smallest of all. Therefore the convex surface AB is less than any which encloses it. THEOREM. 516. The solidity of a cylinder is equal to the product of its base by its altitude. Fig. 258. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder,...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...THEOREM. 516. The solidity of ttcylinder is equal to the product of its base by its altitude. 31Let CA be a radius of the given cylinder's base ; H the...to show that the solidity of the cylinder is surf. CAxH. For, if surf. CAxH is no.t the measure of the given cylinder, it must be the measure of a greater...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1830 - 316 σελίδες
...all those which envelope it. THEOREM. 516. The solidity of a cylinder is equal to the product. of Us base by its altitude. Let CA be a radius of the given...of the cylinder is surf. CA X H. • For, if surf. CAxH is not the measure of the given cylinder, it must be the measure of a greater cylinder, or of...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 σελίδες
...convex surfaces perpendicular to the common base : hence the two solids will be equal ; therefore the solidity of a cylinder is equal to the product of its base by its altitude. Cor. 1. Cylinders of the same altitude are to each other as tKeir bases ; and cylinders of...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 329 σελίδες
...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 ill altitude. Let CA be the radius of the base of the cylinder, and II the altitude. Let the circ-le...

Elements of Geometry

Adrien Marie Legendre - 1841 - 235 σελίδες
...a cylinder by its altitude should be the measure of a greater cylinder. We conclude, then, that the solidity of a cylinder is equal to the product of its base by its altitude. 517. Corollary i. Cylinders of the same altitude are to each other as their bases, and cylinders...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...convex surfaces perpendicular to the common base ; hence the two solids will be equal ; therefore the solidity of a cylinder is equal to the product of its base by its altitude. Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of...




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