| George Albert Wentworth - Geometry - 1877 - 398 pages
...multiple of the third is also equal to that of the fourth ; or, "If the multiple of the first be greater **than that of the second, the multiple of the third is also** greater than that of the fourth." PROPOSITION XIII. 273. If four quantities be proportional according... | |
| Āryabhaṭa - 1878
...another, in respect of quantity, is called their ratio. XXX. The first of four magnitudes is said to have **the same ratio to the second, which the third has to the** fouitl', when any equimultiples whatsoever of the first and third i being taken, ai;d any equimultiples... | |
| University of Oxford - Greek language - 1879
...figures. 2. About a given circle describe a triangle equiangular to a given triangle. 3. If the first have **the same ratio to the second which the third has to the fourth,** but the third to the fourth a greater ratio than the fifth to the sixth, the first shall have to the... | |
| Robert Potts - Algebra - 1879
...multiple of the third is abo equal to that of the fourth ; or, if the multiple of the first be greater **than that of the second, the multiple of the third is also** greater than that of the fourth. Conversely. If four magnitudes be proportional according to Eue. V.,... | |
| Robert Potts - 1879
...multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater **than that of the second, the multiple of the third is also** greater than that of the fourth. Conversely. If four magnitudes be proportional according to Eue. V.,... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...together. [V. Definition 5. Wherefore, if any number &c. Q.EJ>. PROPOSITION 13. THEOREM. If the first have **the same ratio to the second which the third has to the fourth,** but the third to the fourth a greater ratio than the fifth to the si.cth, thefirst shall have to ths... | |
| Sandhurst roy. military coll - 1880
...and hexagon. 7. Give Euclid's definition of ratio. When is the first of four magnitudes said to have **the same ratio to the second which the third has to the fourth** ? 8. The sides about the equal angles of equiangular triangles are proportional. If a straight line... | |
| Euclides - 1881
...same kind, and so cannot have any ratio to each other. T. The Brst of four magnitudes is said to have **the same ratio to the second, which the third has...of the first be less than that of the second, the** mu'tiple of the third is also less than tlint of the fourth : or, if the multiple of the first be equal... | |
| George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...multiple of the third is also equal to that of the fourth ; or, " If the multiple of the first be greater **than that of the second, the multiple of the third is also** greater than that of the fourth." PROPOSITION XIII. 273. If four quantities be proportional according... | |
| George Albert Wentworth - Geometry, Plane - 1882 - 250 pages
...DBF. Euclid's test of a proportion is as follows :-•" The first of four magnitudes iä said to have **the same ratio to the second which the third has to...equimultiples whatsoever of the second and fourth** ; (l ± P] a : \ q/ : 0 ± -) V q/ :b±Р-b \ b : : a : b, Q/ ~T~ — Cz ч Ч : : a : b. "If the multiple... | |
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