| Robert Simson - Trigonometry - 1762 - 488 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond **a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the** fecond. VIII. " Analogy, or proportion, is the fimilitude of ratios." IX.. Proportion confifts in three... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have tp the fecond **a greater ratio than the third magnitude has to the...; and, on the contrary, the third is faid to have** ro the fourth a lefs ratio than the firft has to the fecond. VIII. " Analogy, or proportion, is the... | |
| Euclid - 1781 - 552 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond **a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third** i* faid to have to the fourth a lefs ratio than the firft has to die fecond. VIII. " Analogy, or proportion,... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...third is not greater than the multiple of the fourth ; then the firft is laid to have to the fecond **a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third** L' faid to have to the fourth a lefc ratio than the firft has to the fecond. VIII. When there is any... | |
| Nicolas Vilant - Algebra - 1798 - 196 pages
...DEFINITION VII. When of the equimultiples of four magnitudes (taken asinDef. V.) the multiple of the iirit **is greater than that of the fécond, but the multiple...magnitude has to the fourth ; and, on the contrary, the** thii J is (aid to have to the fourth a jefs ijtio than the firft has to the iecoact. A : В, С : D... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...contains the fourth, then the firft is faid to have Ivt to the fecond a greater ratio than the third **has to the fourth; and, on the contrary, the third...the fourth a lefs ratio than the firft has to the** fecond. Thus, if of A, C there can be taken fuch equi•> J, , multiples MA, MC, that one of them MA... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond **a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the** fecond. VIII. When there is any number of magnitudes greater than two, of which the firft has to the... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond **a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the** fecond. VIII. " Analogy, or proportion, is the fimilitude of ratios." IX. Proportion confifts in three... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...third is not greater than the multiple of the fourth ; then the first is said to have to the second **a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third is** said to have to the fourth a less ratio than the first has to the second. VIII. " Analogy, or proportion,... | |
| John Playfair - Mathematics - 1806 - 320 pages
...third is not greater than the multiple of the fourth ; then the first is said to have to the second **a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third is** said to have to the fourth a less ratio than the first has to the second. VIII. When there is any number... | |
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