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" A greater magnitude is said to be a multiple of a less, when the greater is measured by the less ; that is, ' when the greater contains the less a certain number of times exactly.' 3. ' Ratio is a mutual relation of two magnitudes of the same kind to... "
Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 89
by John Mason Good - 1813
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823
...figure contained by six quadrilateral figures, whereof every opposite two are parallel. Iffitio. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity : thus the ratio of 2 to 1, or of AB to AG, fig. 31, is double; that of 3 to 1, triple, &c. — A less...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1824 - 516 pages
...the less, that is? when the greater contains the less a certain number of limes exactly. III. 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. when the less can...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 516 pages
...the less, that is, when the greater contains the less a certain number of times exactly. III. 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, when the less can be multiplied so...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...less ; that is, ' when the greater contains the lese ' a certain number of times exact«ly/ III. Ratio is 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 320 pages
...less,' thai is, when the greater eontains the less a uertn.ii! number of times exaetly. III. Ratio is a mutual relation of two magnitudes, of the same kind, to one another, in respeet of quantity. IV. Magnitudes are said to be of the same kind, when the less ean be multiplied...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...mutual relation of two magnitudes of the See N. " same 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. 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 First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...; for an inch measures a. foot twelve times, and 3 measures 36 also twelve times. (446) III. Ratio is a mutual relation of two magnitudes of the same kind to one another, with respect to quantity. This definition has been by some commentators considered to be obscure and...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...relation of two magnitudes of the same kind to one another, in respect of quantity.'* IV. Magnitudes arc said to have a ratio to one another, when the 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 scoond, which the third has to...
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A Family Encyclopaedia: Or, An Explanation of Words and Things Connected ...

George Crabb - Encyclopedias and dictionaries - 1831 - 426 pages
...with a cone form the subject of conic sections, which is a branch of sublime geometry. Ratio is the mutual relation of two magnitudes of the same kind to one another, in respect to quantity, as 2 to 1, which is double ; the former of these is called the antecedent, and the latter...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 14

Perry Fairfax Nursey - Industrial arts - 1831
...attack. He quotes — 1st. The définition of a ratio from the 5lh Book of Euclid— That " Ratio is the mutual relation of two magnitudes of the same kind to one another with respect to quantity.'' 2dly. Bridge's Alg., p. 122.— That " The magnitude of a ratio is measuredby...
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