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Books Books 1 - 10 of 83 on Similar cylinders are to each other as the cubes of their altitudes, or as the cubes....  
" Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. "
Elements of Geometry and Trigonometry: With Notes - Page 187
by Adrien Marie Legendre - 1822 - 367 pages
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volume 1

Charles Hutton - Mathematics - 1812
...are the proper numeral measures of their quantities or magnitudes. THEOUEM CXI. Similar Prisms and Cylinders are to each other, as the Cubes of their Altitudes, or of any other Like Linear Dimensions. LET ABCD, F.FGH, be two similar prisms ; then will the prism CD...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...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 are similar,...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...their bases, and 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 are similar,...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 224 pages
...their bases, and cylinders of the same base are to each other as their altitudes. 5 1 8. Corollary H. 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 are similar,...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...their bases, and 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 are similar,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...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 are similar, the diameters of the bases are as the altitudes (510); consequently...
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Mathematics for practical men: being a common-place book of principles ...

Olinthus Gregory - Mathematics - 1834 - 427 pages
...these products are the proper numeral measures of their quantities or magnitudes. 7. Similar prisms and cylinders are to each other aS the cubes of their altitudes, or of any like linear dimensions. 8. In any pyramid a section parallel to the base is similar to the base...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...other as tKeir bases ; 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...cylinders being similar, the diameters of their bases are to each other as the altitudes (Def. 4.) ; hence the bases are as the squares of the altitudes...
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Elements of geometry and trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders arc to each other as the cubes of their altitudes, or as...cylinders being similar, the diameters of their bases are to each other as the altitudes (Def. 4.) ; hence the bases are as the squares of the altitudes...
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Elements of geometry

Adrien Marie Legendre - Mathematics - 1841 - 235 pages
...their bases, and 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 are similar,...
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