 Any four numbers are said to be proportional to each other when the first contains the second as many times as the third contains the fourth ; or when the second contains the first as many times as the fourth contains the third.  An Elementary Treatise on Arithmetic - Σελίδα 94των Silvestre François Lacroix - 1821 - 127 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Daniel Adams - 1810 - 190 σελίδες
...Thus, these four quantities, hours, hours, miles, mile». 6, 11, 30, 65, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to the ratio between the first and second,... | |
 | Leonhard Euler - 1821 - 380 σελίδες
...for a quotient, which is the case ; for in reducing || £ to its most simple terms, ;ls TJwe get >-S The four numbers, 13, 18, 130, 180, written in this...connexion, that a relation is not changed by multiplying each of its terms by the same number ; and this is plain, because a relation, being nothing but the... | |
 | Silvestre François Lacroix - 1825 - 404 σελίδες
...which is the case ; for in reducing j| | to its most simple terms, we get f|. The four numbers, 13, IS, 130, 180, written in this order, are then such that...connexion, that a relation is not changed by multiplying each of its terms by the same number ; and this is plain, because a relation, being nothing but the... | |
 | Daniel Adams - 1828 - 266 σελίδες
...Thus, these four quantities, hours. hours. miles. miles. 6, 11, 30, 55, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to the ratio between the first and second,... | |
 | Daniel Adams - 1828 - 286 σελίδες
...these four quantities, hours. hours. miles. miles. 6, ,11, '. 30, 55, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to the ratio between the first and second,... | |
 | Daniel Adams - 1830 - 280 σελίδες
...Thus, these four quantities, hours, Imtiry. miles, miles. 6, 11, 30, 55, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to the^ tfttio between the first and second,... | |
 | Daniel Adams - 1831 - 276 σελίδες
...Thus, these four quantities, hours- houia. miles, miles. 6, 11, 30, 55, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to th» ratio between' the first and second,... | |
 | Samuel Read Hall - 1832 - 294 σελίδες
...130 must give -Jf , which is the case. The four numbers 13, 18, 130, 180, written in this order, are such that the second contains the first as many times...third, and thus they form what is called a proportion. A relation is not changed by multiplying or dividing each of its terms by the same number* To denote... | |
 | Daniel Adams - 1833 - 268 σελίδες
...Thus, these four quantities, hours. hours. miles. miles. 6, 11, 30, 55, written in this order, being such, that the second contains the first as many times as the fourth contains the third, that is, the ratio between the third and fourth being equal to the ratio between the first and second,... | |
 | Charles Guilford Burnham - 1837 - 266 σελίδες
...130 must give -ff , which is the case. The four numbers 13, 18, 130, 180, written in this order, are such that the second contains the first as many times...third, and thus they form what is called a proportion. A relation is not changed by multiplying or dividing each of its terms by the same number. To denote... | |
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