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Books Books 1 - 10 of 39 on Hence all prisms are to one another in the ratio compounded of the ratios of their....  
" Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelopiped of the same altitude with it, and of an equal base (2. "
The Works of Archimedes - Page 121
by Archimedes - 1897 - 326 pages
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The elements of Euclid: with dissertations intended to assist and ..., Volume 1

James Williamson - Mathematics - 1781
...equal. Which was to be demonftrated. '•.;':. . • . ' • " PROP. XXIII. Equiangular parallelograms have to one another the ratio compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : I fay...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...that of the product LXMXN to the product / X m X n. COR. 3. Hence all prisms are to oĞe anpther in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelepiped of the same altitude with it, and of ,an equal...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831
...proposition usually cited Ex cequo. \.Euclid, Book 5, Prop. 22.] 10. Shew that the equiangular parallelograms have to one another the ratio compounded of the ratios of their sides. 1 1. Prove that two straight lines, which are each of them parallel to the same straight lines,...
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The teacher's assistant in the "Course of mathematics adapted to the method ...

Jeremiah Day - Mathematics - 1836 - 472 pages
...ratios of the areas of their bases, and of their altitudes. Cor. Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelepiped of the same altititue with it, and of an equal...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Trigonometry - 1837 - 318 pages
...with that of the product LXMXN to the product IX m X n. COR. 3. Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelepiped of the same altitude with it, and of an equal...
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Solid and spherical geometry and conic sections: being a treatise on the ...

A. Bell, Robert Chambers, William Chambers - Conic sections - 1837 - 164 pages
...as AD to AX, so is the solid AF to the solid GO. COR. 2. — Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelopiped of the same altitude with it, and of an equal...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Mathematics - 1842 - 317 pages
...with that of the product LXMXN to the product lx m X n. COR. 3. Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelopiped of the same altitude with it, and of an equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...with that of the product LXMXN to the product lx m X n. COR. 3. Hence all prisms are to one another in the ratio compounded of the ratios of their bases, and of their altitudes. For every prism is equal to a parallelopiped of the same altitude with it, and of an equal...
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An elementary course of mathematics

Samuel Hunter Christie - 1847
...bases, and altitudes equal to the altitudes of the prisms, (to which the prisms are respectively equal,) have to one another the ratio compounded of the ratios of their bases and altitudes (Prop. 58), that is, the ratio compounded of the ratios of the bases and altitudes of the...
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National Society's Monthly Paper

1856
...proportionals, and those which are opposite to the equal angles are homologous. 2. Equiangular parallelograms have to one another the ratio compounded of the ratios of their sides. 3. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle...
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