 | Robert Simson - Trigonometry - 1806 - 546 pages
...the same ratio to the second which the third hath to the fourth, then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples of the second and fourth, viz. < the equimultiple of the first shall * have the same ratio to that of the second, which the *... | |
 | John Mason Good - 1813 - 714 pages
...the same ratio to the second which the third has to the fourth; then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples of the second and fourth, viz. the equimultiple of the first shall have the same ratio to that of the second, which thé equimultiple... | |
 | Euclides - 1816 - 588 pages
...then also any equiABGM LFCDHN multiples whatever of the first and third have the same ra- Boo* V. tio to the second and fourth : And in like manner, the first and the third have the same ratio to any equimultiples whatever of the second and fourth. Let A the first,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...third has to the fourth, then also any equimultiples LFCDHN * See Note. whatever of the first and third have the same ratio to the second and fourth: and in like manner, the first and the third have the same ratio '.o any equimultiples whatever of the second and fourth. Let A the first,... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...the same ratio to the second which the third has to the fourth; then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples, of the second and fourth ; that is, the equimultiple of the first shall be to that of the second as the equimultiple of the... | |
 | Euclides - 1826 - 226 pages
...ratio to the second as the third has to the fourth, then any equimultiples of the first and third will have the same ratio to any equimultiples of the second and fourth, according to any multiplication whatsoever, when compared with one another. For let the first magnitude... | |
 | Euclid - 1826 - 234 pages
...ratio to the. second as the third has to tlie fourth, then any equimultiples of the fast and third will have the same ratio to any equimultiples of the second and fourth, according to any multiplication whatsoever, when compared with one another, For let the first magnitude... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...the same ratio to the second, which the third has to the fourth, then also any equimultiples whatever of the first and third shall have the same ratio to...second and fourth : and in like manner, the first and the third shall have the same ratio to any equimultiples whatever of the second and fourth. Let A the... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...the same ratio to the second, which the third has to the fourth, then also any equimultiples whatever of the first and third shall have the same ratio to...second and fourth : and in like manner, the first and the third shall have the same ratio to any equimultiples whatever of the second and fourth. Let A the... | |
 | Euclides - 1834 - 518 pages
...the same ratio to the second, which the third has to the fourth, then also any equimultiples whatever of the first and third, shall have the same ratio...second and fourth : and in like manner, the first and the third shall have the same ratio to any equimultiples whatever of the second and fourth. Let A the... | |
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Likewise, if the first has the same ratio to the second, which the third has to the fourth, then also any equimultiples whatever of the first and third shall have the same ratio to the second and fourth... 
