Solid parallelepipeds contained by parallelograms equiangular to one another, each to each, that is, of which the solid angles are equal, each to each, have to one another the ratio compounded of the ratios of their sides. The The Thirteen Books of Euclid's Elements - Page 347by Euclid, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. **SOLID parallelepipeds contained by parallelograms...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 parallelepipeds,... | |
| I. Newton - Geometry - 1825 - 93 pages
...to each other as the squares of the homologous sides of. their bases; PROP. XXXIII. PROP. D. . : , ; **.Solid parallelepipeds contained by parallelograms...equal, each to each, have to one another the ratio** which . is the same with the ratio compounded of > the - ratios of their sides. PROP. XXXIV. The bases... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...has to the second. PROP. D. THEOREM. Solid parallelepipeds contained by parallelograms equiangular lo **one another, each to each, that is, of which the solid angles are equal, each to each,** havt to one another the ratio which is ike tame müh the ratio compounded of the ratios of their sides.... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...the second. PROP. D. THEOR. Solid parallelopipeds which are contained by parallelo- 9* el *. grams **equiangular to one another, each to each, that is,...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,... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. **SOLID parallelepipeds contained by parallelograms...solid angles are equal, each to each, have to one** auother the ratio which is the same with the ratio compounded of the ratios of their sides.* Let AB,... | |
| Euclides - 1834
...second. PROPOSITION D. THEOR.—\nlnl parallelepipeds which are contained by paral- See N. lelograms **equiangular to one another, each to each, that is,...equal, each to each, have to one another the ratio** which is the same with the ratio compounded of the ratios of their sides. •31. 11. A. 5. ' Si. 1I.... | |
| Euclid - Geometry - 1838 - 416 pages
...fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. SOLID parallelopipeds **contained by parallelograms equiangular to one another,...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,... | |
| Euclides - 1841
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. **Parallelepipeds contained by parallelograms equiangular...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 parallelopipeds,... | |
| James Thomson - Geometry - 1845 - 358 pages
...fourth the triplicate ratio of that which it has to the second. PROP. D. TIIEOR.—Parallelepipeds **contained by parallelograms equiangular to one another,...equal, each to each, have to one another the ratio** which is the same with the ratio compounded of the ratios of their sides. \ \ ( \ H \ \ G \ E D \ M... | |
| Robert Potts - 1845
...triplicate atio of that which it has to the second. PROPOSITION D. THEOREM. Solid parallelepipeds which are **contained by parallelograms equiangular to one another,...each to each, that is, of which the solid angles are** qual, each to each, have to one another the ratio which is the same with he ratio compounded of the... | |
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