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Books Books 1 - 10 of 37 on N. equiangular to one another, each to each, that is, of which the folid angles are....  
" N. equiangular to one another, each to each, that is, of which the folid angles are equal, each to each ; have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides. "
Books 10-13 and appendix - Page 345
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...contained by parallelograms see N. equiangular to one another, each to each, that is, of which the folid angles are equal, each to each; have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides. Let AB, CD be folid parallelepipeds,...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...contained by parallelograms see N. equiangular to one another, each to each, that is, fhich the folid angles are equal, each to each, have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides. Let AB, CD be folid parallelepipeds,...
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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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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...contained by parallelograms See N, equiangular to one another, each to each, that is, of which the folid angles are equal, each to each, have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides. Let AB, CD be folid parallelepipeds,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...contained by parallelograms see N. equiangular to one another, each to each, that is, of which the folid angles are equal, each to each ; have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides. Let AB, CD be folid parallelepipeds,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...contained by parallelo- See ** grams equiangular to one another, each to each, that is, ofwbich the solid angles are equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides. Let AB, CD be solid parallelopipeds,...
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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, and...
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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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...contained by parallelograms equiangular to one another, each to each, that is, of which the mil id angles are equal, each to each, have to one another the ratio which is the same with -the ratio compounded of the ratios of their sides. Let AB and CD be parallelopipeds,...
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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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