 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 345by Euclid - 1908Full view - About this book
 | Robert Simson - Trigonometry - 1762 - 488 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,... | |
 | Robert Simson - Trigonometry - 1775 - 534 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,... | |
 | Euclid - 1781 - 552 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,... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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... | |
 | Robert Simson - Trigonometry - 1804 - 530 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,... | |
 | Robert Simson - Trigonometry - 1827 - 546 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,... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...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... | |
 | Samuel Hunter Christie - 1847 - 172 pages
...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... | |
 | Euclides - 1855 - 270 pages
...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,... | |
 | 1856 - 376 pages
...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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