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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... "
An Elementary Treatise on Algebra: Theoretical and Practical - Pagina 493
door James Ryan - 1824 - 516 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagina’s
...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 *...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pagina’s
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagina’s
...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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagina’s
...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,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 pagina’s
...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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pagina’s
...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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pagina’s
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...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...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pagina’s
...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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