| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...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...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. The term compound ratio, like all... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and K to L. **In like manner, the same things being supposed, if...ratio which A has to D, then, for shortness' sake,** Mis said to have to N a ratio compounded of the same ratios, which compound the ratio of A to D ; that... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...F, G to H, and K to L. In like manner, the same things being supposed, if M has to'N the sameratio **which A has to D, then, for shortness' sake, M is...compounded of the ratios of E to F, G to H, and K to L.** 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to... | |
| Euclid - 1835 - 540 pages
...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...; 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... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...ratio compounded of the ratios which -sJre the same with the ratios of E to F, G to H, and K to L. **In like manner, the same things being supposed, if...is, a ratio compounded of the ratios of E to F, G to** Hr and K to L. XI. Ef three magnitudes are continual proportionals, tlie ratio of the first to the... | |
| Dionysius Lardner - Geometry - 1838 - 386 pages
...expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. I n **like manner, the same things being supposed, if M...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. The term compound ratio, like all... | |
| Robert Simson - Geometry - 1838 - 434 pages
...the ratios of E to F, G to H, and K to L. In like manner the same things 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... | |
| Euclid - Geometry - 1838 - 478 pages
...ratios of E to F, G to H, and K to L. In like manner the same things being supposed, if M have tl^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. 'Geometers make use of the following... | |
| Oliver Byrne - Euclid's Elements - 1841 - 144 pages
...expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and К to L. **In like manner, the same things being supposed ; if...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 К to L. This definition may be better understood... | |
| Oliver Byrne - Ratio and proportion - 1841 - 140 pages
...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** К to L. In like manner, the same things being supposed ; if M has to N the same ratio which A has... | |
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