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" D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios... "
Outlines of Mathematical Science for the School Room - Page 104
by Charles Davies - 1867 - 168 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...for | 1T6 =2, but y =8. Four numbers are directly proportional, when the ratio of the first to the second is the same, as that of the third to the fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be reciprocally or inversely proportional, when the first...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...; for £=y=2, but *^=8. Four numbers are directly proportional, when the ratio of the first to the second is the same, as that of the third to the fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be reciprocally, or inversely proportional, when the first...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...to 7£ hours, is 31-i-7J=4f. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus 4, 6, 8, and 12, are in proportion, since...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1846 - 370 pages
...relation between numbers called ? When are four numbers said to be in proportion ? the first to the second is the same as that of the third to the fourth. Hence, PROPORTION is an equality of ratios between numbers compared together two and two. 185. We express...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another? 189. If one yard of cloth cost...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another? 182. If one yard of cloth cost...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...to 1\ hours, is 3i-^7i=i§. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus, 4, 6, 8, and 12, are in proportion, since...
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Grammar of Arithmetic, Or, An Analysis of the Language of Figures and ...

Charles Davies - Arithmetic - 1850 - 148 pages
...term, " A geometrical proportion/' is applied to four numbers, in which the ratio of the first to the second is the same as that of the third to the fourth....a geometrical proportion, of which the ratio is 2. 66. We will now state some further advantages which result from regarding the ratio as the quotient...
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The Logic and Utility of Mathematics,: With the Best Methods of Instruction ...

Charles Davies - Logic - 1850 - 398 pages
...the ratio of the first to the second is the same as that of the third to the fourth. Thus, Example. 2 : 4 :: 6 : 12, is a geometrical proportion, of which the ratio is 2. Further ad- § 169. We will now state some further advantages which result from regarding the ratio...
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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - Logic - 1850 - 402 pages
...geometrical lion defined. proportion, is applied to tour numbers, in which the ratio of the first to the second is the same as that of the third to the fourth. Thus, calpnipor- .... i- i /- , Example. 2 : 4 :: 6 : 12, is a geometrical proportion, of which the ratio...
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