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" BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number must be compared with a number; a line with a line; &c.... "
Elements of Algebra: Embracing Also the Theory and Application of Logarithms ... - Page 232
by Davis Wasgatt Clark - 1846 - 358 pages
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...72=25 + 72=97. CHAP. VI. ON RATIOS, PROPORTION, AND VARIABLE , QUANTITIES. XXVII. Definitions. 92. BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 284 pages
...25 + 72 = 97. 121 CHAP. VI. ON RATIOS, PROPORTION, AND VARIABLE QUANTITIES. XXVII, Definitions. 92. BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 648 pages
...72 = 97. 121 CHAP. VI. ON RATIOS, PROPORTION, AND VARIABLE QUANTITIES. XXVII. DefirdliOTis. 92. Bv RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident' that this relation can exist only between quantities of a similar kind; thus, a number...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...much per cent, as the horse cost him. Required the cost. ON RATIOS AND PROPORTION. 95. By the term RATIO, is meant the relation which one quantity bears to another, with respect to magnitude. It is obvious, that this relation can exist only between quantities of the same kind, as of a line...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1839 - 280 pages
...ON RATIOS, PROPORTION, AND VARIATION. XXVII. <n J "" ' •"s , ~•''- - - - •> / Definitions. 90. BY Ratio is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...Euclid, book 6, p. A., the 3d term is greater than the fourth. On Ratios, Proportion, and Variation. 73. By Ratio is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...x=/n/n, and the formulas become n n' n" , n'" — =£, and On Ratios, Proportion, and Variation, 73. By Ratio is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number...
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...Which is the greater, TS + -3 or -r H — ? oa ai ba a , b Ans. r. +—.• b* a2 RATIOS. 128. Ratio is the relation which one quantity bears to another, with respect to magnitude, the comparison being made by considering what multiple, part or parts, one is of the other. 129. The quantities...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...H + ¿), &c. ; and that, on multiplication, will be found to be the case. ARITHMETICAL RATIO. 727. The relation which one quantity bears to another, with respect to magnitude, is called a ratio. It is evident that no relation can exist between quantities that arc not of a similar...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...on the hypothesis that a=b, we shall have ao + * , <q — s a;=_i-! — , and y——J— — Zas ' Zas The preceding discussions show the precision with...of quantities may be compared in two ways. 1. With regard to their difference. This is called Arithmetical ratio, or ratio by difference. 2. With regard...
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