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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 ... - Pągina 164
per Joseph Fenn - 1769
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 pągines
...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 - 520 pągines
...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 - 400 pągines
...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
...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 - 528 pągines
...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 - 317 pągines
...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 - 372 pągines
...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 - 513 pągines
...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 - 324 pągines
...= 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 - 513 pągines
...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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