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" VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to... "
Instructions Given in the Drawing School Established by the Dublin Society ... - Seite 164
von Joseph Fenn - 1769
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...magnitudes' are proportionals, it Is ufually ' exprefled by faying, the firft is to the fecond, as the third to ' the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the $th Definition) the multiple of the firft is greater than that of the fecond, but the multiple of the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...magnitudes are proportionals, it t| ' ufually exprefled by faying, the firft is to the fecond, a« sfcft * third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 Seiten
...to fay that A is to B as C to D, and to write them thus,. A : B : : C : D, or thus, A : B = C : D. VII. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the firft is greater than that of the fecond, but the multiple of...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...proportionals, it is ufually • exprefled by faying, the firft is to the fecond, as the third ta « the fourth.' VII. When of the equimultiples of four...multiple of the firft is greater than that of the fecond, but the multiple of the third is not greater than the multiple of the fourth ; then the firft...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...magnitudes are proportion' als, it is usually expressed by saying", the first is to the ' second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),' the multiple of the first is greater than that of the second, but the multiple...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...that A is to B HS C to D, and to writs them thus, A • B • • « C : D, or thus, A : B = C : D." VII. When of the equimultiples of four magnitudes, taken as in the. fifth definition, the multiple of the first is greater than that of the second, but the multiple of...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...magnitudes are pro' portionals, it is usually expressed ' by saying, the first is to the se' rmiil, as the third to the fourth/ VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...magnitudes are pro' portionals, it is usually expressed by saying, the ' first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 Seiten
...= interposed between them thus, A : B : : a : b or A : B = a : b, or more shortly, I = f. • (450) VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...magnitudes are proportionals, it is ' usually expressed by saying the first is to the second, as • the third to the fourth. VII. When of the equimultiples of four magnitudes (taken as in the fifth definition,) the multiple of the first is greater than that of the second, but the multiple of...
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