 | Robert Simson - Trigonometry - 1762 - 488 pages
...to L. 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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...the fame things being fuppofed, if M has to N the fame ratio which A has to D ; then, for fhormefs fake, M is faid to have to N, the ratio compounded of the ratios of E to F, G to II, and K to I.. XII. In proportionals, the antecedent terms are called homologous to. one another,... | |
 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...to 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 - 552 pages
...things being fuppofed, if M 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... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...fame things being fuppofed, if M has to N the fame ratio which A has to D, then, for fhortnds take, M is faid to have to N, the ratio compounded of the ratios of E to F, G to H, and K to L. xif. In proportionals, the antecedent terms are called homologous to one another, as alfo the... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...to have to N a ratio compounded of the fame ratios which compound the ratio of A to D ; that is, a ratio 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... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...the fame things b » 'ig fuppofed, 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... | |
 | Euclid - Geometry - 1810 - 554 pages
...being supposed, if M have to N the same ratio which A has to D; then, for shortness' sake, M is said 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 also the... | |
 | John Mason Good - 1813 - 714 pages
...being supposed» if M has to N the same ratio which A has to D; then, for shortness sake, M is said to have to N, the ratio compounded of the ratios of E to F, U to Ы, and К to L. 12. hi proportionals, the antecedent terms are •called homologous to one another,... | |
 | Euclides - 1816 - 588 pages
...being supposed, if M has. to N the same ratio which A has to D ; then, for shortness sake, M is said 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 also the... | |
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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... 
