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" ... compounded of the ratio which the first has to the second, and of the ratio which the second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude. "
Euclid, Book V. Proved Algebraically, So Far as it Relates to Commensurable ... - Página 56
por Euclid, Lewis Carroll - 1874 - 62 páginas
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...denomination stilt by unity, in any number of proportionals. Definition A. to wit, of compound ratio. When there are any number of magnitudes, of the same kind, the first is said to havo to the last of them the ratio compounded of the ratio which the first has to the second, and of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...Wfeen there are any number of magnitudes of the samekind, tlie first is said to have to the lasttrf them the ratio compounded of the ratio which the first has to the second, and of the rat-ie which the second has to the third, and of the ratio which the third has to the fourth, and so...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...proportionals, the second is said to be a mean proportional between the other two. X. When there is any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the. tirst has to the second, and of the ratio which the second...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 páginas
...proportionals, the seeond is said to be a mean proportional between the other two. X. When there is any number of magnitudes of the same kind, the first is said to hare to the last the ratio eompounded of the ratio whieh the tirst has to the seeond, and of the ratio...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...denomination still by unity, in any number of proportionals. Definition A, to wit of compound ratio. "When there are any number of magnitudes of the same...has to the second, and of the ratio which the second bas to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...still by unity, in any number of proportionals. Definition A, to wit, of compound ratio. When there is any number of magnitudes of the same kind, the first is said to have to the last of them the ratio conpounded of the ratio which the first has to the second, and of the ratio which the second has to...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 páginas
...still by unity, in any number of proportionals. Definition A, to wit, of compound ratio. When there is any number of magnitudes of the same kind, the first is said to have to the last of them the ratio conpounded of the ratio which the first has to the second, and of the ratio which the second has to...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...are continual proportionals, the second is said to be a mean proportional between the other two. 10. When there are any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the first has to the second, and of the ratio which the second...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 páginas
...proportionals, the second is said to be a mean proportional between the other two. 10. When there is any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the first has to the second, and of the ratio which the second...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 páginas
...between the other two. [In the analogy A : B : : B : C, B is a mean proportional between C and D.] 10. Of any number of magnitudes of the same kind, the first is said to have to the last a ratio compounded of the ratio which the first has to the second, and of the ratio which the second...
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