 | Robert Simson - 1762 - Liczba stron: 488
...and the fame thing is to be underftood when it is more briefly exprefled by faying A has ro D, the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the fame things bemg fuppofed, if M has to N the fame ratio which A has to D, then,... | |
 | Robert Simson - 1775 - Liczba stron: 534
...by this definition, A is faid to have to I) the ratio compounded of ratios which are the fame with the ratios of E to F, G to H, and K to L : And the fame thing is to be underftood when it is more briefly exprefled, by faying A has to D the... | |
 | Benjamin Donne - 1775 - Liczba stron: 338
...L. And the fame Thing is to be underftood when it is more briefly expreiTed by faying A has to D the Ratio compounded of the Ratios of E to F, G to H, and KtoL. In like Manner, the fame Things being fuppofed, if M has to N the fame Ratio which A has to D,... | |
 | Euclid - 1781 - Liczba stron: 552
...has to N the fame ratio which A has to 1 > , then, for fhortnefs lake, M is faid to have to N, the ratio compounded of the ratios of E to F, G to H, and K to L. XII. In proportionals, the antecedent terms are called homologous to one another, as alfo the confequetns... | |
 | Robert Simson - 1781 - Liczba stron: 534
...this Definition, A is faid to have to D the Book V. ratio compounded of ratios which are the fame with the ratios of E to F, G to H, and K to L. and the fame thing is to be underftood when it is more briefty exprefted. by faying A has to D the... | |
 | Euclid, John Playfair - 1795 - Liczba stron: 462
...ratio which A has to D, then, for fliormels fake, M is faid to have to N a ratio compounded of the fame ratios which compound the ratio of A to D ; that is,...compounded of the ratios of E to F, G to H, and K to L. A ratio which is compounded of two cquul ratios is faid to be duplicate of either of thefe ratios.... | |
 | Nicolas Vilant - 1798 - Liczba stron: 196
...M has to N the fame ratio which A has to D ; then, for ihortnefs' fake, M is faid to have to N the ratio compounded of the ratios of E to F, G to H, and К to L. This definition is the addition of continued unequal ratios. DEFINITION XIII, XIV, XV, XVI,... | |
 | Robert Simson - 1804 - Liczba stron: 530
...if M has to N the fame ratio which A has to D, then, for fhdrtnefs fake, M is faid to have to N, the ratio compounded of the ratios of E to F, G to H, and K to L. XII. In proportionals, the antecedent terms are called homologous to one another, as alfo the confequents... | |
 | John Playfair, Euclid - 1804 - Liczba stron: 468
...to D ; A. maj alfo be faid to have to D the ratio compounded of the ratic; which are the fame with the ratios of E to F, G to H, and K to L. In like manner, the fame things being fuppofed, if M IK. the fame ratio which A has to D, then, for... | |
 | John Playfair - 1806 - Liczba stron: 320
...the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and KtoL. In like manner, the same things being supposed, if...compounded of the ratios of E to F, G to H, and K to L. XL If three magnitudes are continual proportionals, the ratio of the first to the third is said to... | |
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And the same thing is to be understood when it is more briefly expressed by saying, a has to d the ratio compounded of the ratios of e to f, g to h, and k to l. In like manner, the same things being supposed, if m has to n the same ratio which a has to... 
