 | John Mason Good - 1813 - 714 pages
...denomination stilt by unity, in any number of proportionals. Definition A. to wit, of compound ratio. When there are any number of magnitudes, of the same kind, the first is said to havo to the last of them the ratio compounded of the ratio which the first has to the second, and of... | |
 | Euclides - 1816 - 588 pages
...Wfeen there are any number of magnitudes of the samekind, tlie first is said to have to the lasttrf them the ratio compounded of the ratio which the first has to the second, and of the rat-ie which the second has to the third, and of the ratio which the third has to the fourth, and so... | |
 | John Playfair - 1819 - 354 pages
...proportionals, the second is said to be a mean proportional between the other two. X. When there is any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the. tirst has to the second, and of the ratio which the second... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...proportionals, the seeond is said to be a mean proportional between the other two. X. When there is any number of magnitudes of the same kind, the first is said to hare to the last the ratio eompounded of the ratio whieh the tirst has to the seeond, and of the ratio... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...denomination still by unity, in any number of proportionals. Definition A, to wit of compound ratio. "When there are any number of magnitudes of the same...has to the second, and of the ratio which the second bas to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude.... | |
 | Euclid - 1835 - 540 pages
...still by unity, in any number of proportionals. Definition A, to wit, of compound ratio. When there is any number of magnitudes of the same kind, the first is said to have to the last of them the ratio conpounded of the ratio which the first has to the second, and of the ratio which the second has to... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...still by unity, in any number of proportionals. Definition A, to wit, of compound ratio. When there is any number of magnitudes of the same kind, the first is said to have to the last of them the ratio conpounded of the ratio which the first has to the second, and of the ratio which the second has to... | |
 | Mathematics - 1836 - 488 pages
...are continual proportionals, the second is said to be a mean proportional between the other two. 10. When there are any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the first has to the second, and of the ratio which the second... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...proportionals, the second is said to be a mean proportional between the other two. 10. When there is any number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratio which the first has to the second, and of the ratio which the second... | |
 | Euclides - 1840 - 192 pages
...between the other two. [In the analogy A : B : : B : C, B is a mean proportional between C and D.] 10. Of any number of magnitudes of the same kind, the first is said to have to the last a ratio compounded of the ratio which the first has to the second, and of the ratio which the second... | |
| |
... compounded of the ratio which the first has to the second, and of the ratio which the second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude. 
