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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 - Σελίδα 493
των James Ryan - 1824 - 516 σελίδες
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...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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...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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...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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...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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...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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...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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...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 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 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 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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