Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two. The Elements of Algebra - Page 225by Elias Loomis - 1856 - 268 pagesFull view - About this book
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...second the same ratio that the third has to the fourth. VI. Magnitudes are said to be proportionals, **when the first has the same ratio to the second that the** third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,... | |
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...what are the first and third called ? What the second and fourth ? • 1 47 . Three quantities are **in proportion when the first has the same ratio to...mean proportional between the other two. For example,** 3 : 6 : : 6 : 12; and 6 is a mean proportional between 3 and 12. 148. Quantities are said to be in... | |
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| Charles Davies - Algebra - 1842 - 284 pages
...quantities, what are the first and third called ? What the second and fourth * 1 47 . Three quantities are **in proportion when the first has the same ratio to...mean proportional between the other two. For example,** 3 : 6 : : 6 : 12; and 6 is a mean proportional between 3 and 12. 148. Quantities are said to be in... | |
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...last is said to be a fourth proportional to the other three taken in order. 171. Three quantities are **in proportion when the first has the same ratio to...said to be a mean proportional between the other two.** 172. Quantities are said to be in proportion by inversion, or t'nversely, when the consequents are... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...second the same ratio that the third has to the fourth. 6. Magnitudes are said to be proportionals, **when the first has the same ratio to the second that the** third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth,... | |
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