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" Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other. "
Self-examinations in Euclid - Page 71
by John Martin Frederick Wright - 1829 - 188 pages
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - Mathematics - 1841 - 144 pages
...of two magnitudes of the same kind to one another, in respect of quantity." — Simson'a Euclid. " Ratio is the relation which one quantity bears to...what multiple part or parts one is of the other." — Wood's Algebra. " Ratio is that relation of two quantities of the same kind, which arises from...
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - Mathematics - 1841 - 140 pages
...of two magnitudes of the same kind to one another, in respect of quantity." — Simeon's Euclid. " Ratio is the relation which one quantity bears to...in respect of magnitude, the comparison being made Ъу considering what multiple part or parts one is of the other." — Wood's Algebra. " Ratio is that...
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...+—.• 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 to be compared must evidently be of the same kind ; for although we can compare...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...ratio has been defined to be the relation which one number bears to another with respect to quotity ; the comparison being made by considering what multiple, part or parts, one number is of the other. An arithmetical ratio, therefore, is represented by the quotient which arises...
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First Principles of Chemistry: Being a Familiar Introduction to the Study of ...

James Renwick - Chemistry - 1845 - 456 pages
...this lessened density. RATIO ; the relation which subsists between two quantities of the same kind, the comparison being made by considering what multiple part or parts one of them is of the other. RAY ; a beam of light propagated from a radiant point. REACTION ; the reciprocation...
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The principles and practice of arithmetic and mensuration: with the use of ...

James Wharton - 1847 - 224 pages
...; and £2 3s. Ца. to the decimal of £4. Ans. -109375, -1076923; ¿£, ^, -54140625. PROPORTIONS. RATIO is the relation which one quantity bears to another in respect to magnitude : thus 2 has to 4 the same ratio which 3 has to 6, and is often expressed f and |. Ratios...
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A short and easy course of algebra

Thomas Lund - Algebra - 1851 - 186 pages
...x= 8,\ y , > to find x and y. > i-35^ = 82j . yy = 10,f RATIO, PROPORTION, AND VARIATION. 75. DBF. RATIO is the relation which one quantity bears to another in respect of magnitude, which relation is measured by the number of times the one contains the other, or by the part or parts...
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...mode of treatment, which we shall adopt in what follows, " RATIO is the relation which one number has to another in respect of magnitude, the comparison...made by considering what multiple, part, or parts, the first number is of the second, or how many times or parts of a time, or both, the second is contained...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...other. In the following definition given by Wood in his Algebra, this objection is removed:—"Ratio is the relation "which one quantity bears to another...multiple, part or parts, one is of the other." In order that two magnitudes may be capable of comparison so as to determine their ratio, it is essential...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 pages
...be ' 140. Ratio is first denned as the relation which one quantity bears to another of the same kind in respect of magnitude, the comparison being made...what multiple, part or parts, one is of the other ; and it thus appears that the value of a ratio is correctly represented by the quotient of one of...
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