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" Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. "
The Elements of Solid Geometry - Σελίδα 46
των William C. Bartol - 1893 - 95 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry

Adrien Marie Legendre - 1819 - 574 σελίδες
...cylinders of the same base are to each other as their altitudes. 518. CoroUary H. Similar cylinders arc to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 σελίδες
...cylinders of the same base are to each other as their altitudes. Cor. 9,. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of rheir diameters ; and, since the cylinders...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 σελίδες
...and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being...

Elements of Geometry

Adrien Marie Legendre - 1841 - 288 σελίδες
...cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders...

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

Nathan Scholfield - 1845 - 894 σελίδες
...and cylinders of the same base arc to each other is their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their basest For the bases are as the squares of their diameters ; and the cylinders being...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 σελίδες
...and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...and cylinders of the same base,are to each other as their altitudes. Cor. 3. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters; and since the cylinders...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being...




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