 | 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,... | |
 | 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 - 204 pages
...fécond, but the multiple of the third is not greater than the multiple of the fourth ; then the firft is faid to have to the fécond a greater ratio than...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... | |
 | Robert Simson - Trigonometry - 1804 - 528 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... | |
 | 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 - 1806 - 548 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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When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have... 
