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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 ... - Side 164
av Joseph Fenn - 1769
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...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 Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - 1841 - 98 sider
...от | j ç-, — or -j M ••• D : О = D : 0 (5> def- v). . Equal magnitudes, &c. DEFINITION 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...four 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...magnitudes are propor'tionals, 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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...four 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...four 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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...magnitudes such as are supposed in the preceding definition, which constitutes the test of proportionality. 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 jecond, but the multiple of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...four 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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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...in the manner of a fraction ^ = тл , indicating the division of the antecedent by the consequent. 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 Propositions of the Fifth Book of Euclid Proved Algebraically: with an ...

George Sturton Ward - 1862 - 79 sider
...: b :: b : с :: с : d, &c. ; a, b, e, d, &c. are said to be continued or continual proportionals. 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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