 | George Baron - 1804 - 274 páginas
...kind and the second of a different kind ; is abundantly manifest. § 7. In four proportional numbers, if the first be greater than the second, the third is greater than the fourth ; but if the first be less than the second, the third is less than the fourth. This is evidently true,... | |
 | Robert Simson - 1806 - 546 páginas
...so is G to H » ; but B as C is to D, so is E to F. Wherefore, as E is FH to F, so is G to Hb. But, when four magnitudes are proportionals, if the first be greater than the third, the second shall be greater than the c 14. 5. fourth ; and if equal, equal ; if less, less f.... | |
 | Euclides - 1816 - 588 páginas
...D, so is G to H a : but as C is to D, so is E to F. Wherefore, as E is . to F, so is G to H b. But when four magnitudes are proportionals, if the first be greater than the third, the second shall be greater than the ',« US fourth; and if equal, equal ; if less, less0. Wherefore,... | |
 | Euclid - 1822 - 222 páginas
...PROP. XXIV. THEOR. Fig. 23. If there be four magnitudes proportional (A to B as C to D}, and the Jirst be greater than the second, the third is greater than the fourth ; and if equal, equal ; and if less, less. Part 1. Let A be greater than B, and C is greater than D.... | |
 | Peter Nicholson - 1825 - 1046 páginas
...G to H ; (15. 5.) but as С is to D, so is E to F. Wherefore, as E is to F, so is G to H. (MS) But, when four magnitudes are proportionals, if the first be greater than the the third, the second sball be greater than the fourth ; and if equal, equal ; if less, less. ( 14.... | |
 | Euclid - 1833 - 216 páginas
...less. PROP. XXIV. THEOR. If there be four magnitudes proportional (A to B as Fig. 23. C to D), and the first be greater than the second, the third is greater than the fourth; and if equal, equal ; and if less, less. Part 1 . Let A be greater than B ; C is also greater than... | |
 | Euclid - 1835 - 540 páginas
...J!" n is G to H • ; but as C is to D, so is E to F. Wherefore, as E is to F, so is G to H b. But when four magnitudes are proportionals, if the first be greater than the third, the second will be greater than the fourth ; and if equal, equal ; if c U. 5. less, less c.... | |
 | William Tate - 1837 - 358 páginas
...numbers of the first and third or the second and fourth terms. If the first term of a proportion is greater than the second, the third is greater than the fourth ; if equal, equal ; and if less, less. If the four terms of a proportion consist of similar quantities, the greatest... | |
 | Robert Simson - 1838 - 434 páginas
...5.); but BD as C is to D, so is E to F. Wherefore as E is F — H toF, so is G to H (11. 5.). But, when four magnitudes are proportionals, if the first be greater than the third, the second shall be greater than the fourth ; and if equal, equal ; if less, less (14. 5.).... | |
 | Euclides - 1841 - 378 páginas
...it was proved that as C is to D, so is E to F; * 11- 5 - therefore, as E is to F, so is G to H.* But when four magnitudes are proportionals, if the first be greater than the third, the second is greater than the fourth; * 14. 5. and if equal, equal; and if less, less:* therefore,... | |
| |
But when four magnitudes are proportionals, if the first be greater than the third, the second is greater than the fourth ; and if equal, equal; if less, less; (v. 
