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" Magnitudes are said to have a ratio to one another, when the less can be multiplied so as to exceed the other. "
Euclid, Book V. Proved Algebraically, So Far as it Relates to Commensurable ... - Side 54
av Euclid, Lewis Carroll - 1874 - 62 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...mutual relation of two magnitudes of the same kind Ste N ' to one another, in respect of quantity.' IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...mutual relation of two magnitudes of the same kind See Nbte. ' to one another, in respect of quantity.' IV. Magnitudes are said to have a ratio to one another, when thfe less can be multiplied so as to exceed the other. V. The first of four magnitudes is said to have...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity. 4. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other; 5. The first of four magnitudes is enid to hav<? the same ratio to the second, which the third has...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...mutual relation of two magnitudes of the same See N. ' kind to one another, in respect of quantity.' IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. y. The first of four magnitudes is said to have the same ratio to the second, which the third has to...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...ratios. • DEF. IV. This definition is a little altered in the expression : Euclid has it, that " magnitudes are said to have a ratio to one another,...the -" less can be multiplied so as to exceed the greater." DEF. V. One of the chief obstacles to the ready understanding of the 5tU Book of Euclid,...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volum 2

George Crabb - 1823 - 704 sider
...contains the less a certain number of times : thus AB is a multiple of E, and CD of F, fig. 31. — Magnitudes are said to have a ratio to one another...the less can be multiplied so as to exceed the other ; and those magnitudes which have the same ratio are called proportionals. Proportion. Proportion is...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 sider
...a mutual relation of two magnitudes of the same kind to one another in respect to quantity. - • . iv. • Magnitudes are said to have a ratio to one...less can be multiplied so as to exceed the other. V. The ratio of the magnitude A to the magnitde B is the number showing how often A contains B ; or,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 sider
...Ratio is a mutual relation of two magnitudes of the same kind to one another in respect to quantity. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The ratio of the magnitude A to the magnitde B is the number showing hovi often K. totAacw&^x <w,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...a mutual relation of two ' magnitudes of the same kind to * one another, in respect of quanti' ty/ IV. Magnitudes are said to have a ratio to one another, when the less can IK- multiplied so as to exceed the other. V. The first of four magnitudes is said to have the same...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 430 sider
...Ratio is a mutual relation of two magnitudes of the same kind to one another in respect to quantity. IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The ratio of the magnitude A to the magnitude B is the number showing how often A contains B ; or,...
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