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, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Robert Simson - 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,... | |
| Robert Simson - 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,... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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,... | |
| 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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