 | Thomas Malton - 1774 - 484 σελίδες
...either greater or lefs than E to F; the Ratio of A to B is alfo greater or lefs, than E to Ft For, the Ratio of A to B is equal to the Ratio of C to Dl therefore, their Ratios are the fame, in refpect to any other. -Note. By miftake, the 7th and... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...the laft definition, the ratio of A to C is compounded of the ratios of A to B, and of B to C ; but the ratio of A to B is equal to the ratio of B to C, becaufe A, B, C are continual proportionals ; therefore the ratio of A to C,by this definition, is... | |
 | Charles Hutton - 1811 - 406 σελίδες
...: u, and o^ : R : : c : D. But as p and o^are equal, by supposition, they have the same ratio to R, that is, the ratio of A to B is equal to the ratio of c to D, or A : B : : c : D. o^ ED Corol. 1. When the two means, namely, the second and third terms,... | |
 | Charles Hutton - 1816 - 610 σελίδες
...• B, and Q : a : : c : D. But as r and q are equal, by supposition. they have the same ratio to R, that is, the ratio of A to B is equal to the ratio of c to D, or A - B : : c : D. q E. o. Carol. \ . When the two means, namely, the second and third terms,... | |
 | Charles Hutton - 1822 - 616 σελίδες
...B, and <l : R : : c : D. But as t and <j are equal, by supposition, they have the same ratio to R, that is, the ratio of A to B is equal to the ratio of c to D, or A : B : : c : DQEI). Carol. 1. When the two means, namely, the second and third terms, are... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...values that —is equal to—,, then A is said to have the same ratio AC to B, th.it C has to D, or the ratio of A to B is equal to the ratio of C 'to D. When four quantities have this relation to .each other, they are said to be in proportion.... | |
 | Andrew Bell - 1837 - 290 σελίδες
...the last definition, the ratio of A to C is compounded of the ratios of A to B, and of B to C ; hut the ratio of A to B is equal to the ratio of B to 0, because A, B, C, are continual proportionals ; therefore the ratio of A to C, by this definition,... | |
 | William Whewell - 1837 - 226 σελίδες
...Ratio is the relation of quantities in respect of proportion, so that if a, b, c, d be proportional, the ratio of a to b is equal to the ratio of c to d. *LEMMA 1. If magnitudes be proportionals according to the algebraical definition of proportion,... | |
 | 1838 - 372 σελίδες
...and D, having such values that BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D. When four quantities have this relation to each other, they are said to be in proportion. Hence,... | |
 | Charles Davies - 1839 - 272 σελίδες
...other, they are said to be in proportion. Hence, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D. The quantities... | |
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To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D. 
