 | John Keill - Logarithms - 1723 - 444 pages
...Lines, that the Ratio of the firft to the laft is equal to the Ratio eoMpouVded of the Ratios ABCD of the firft to the fecond, of the fecond to the third, of the third to the fourth, and fo on to the laft. This is true of• any other Quantities befides... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...firjt Magnitude to the lajt, is equal to the Ratio compounded of the Ratio's of the firft Magnitude to the fecond, of the fecond to the third, and fo on ta the lajt ; which wa« tpbe demonstrated. ' ... * PROPOSITION XXIIf. THEOREM. Equiangular Parallelograms... | |
 | Robert Simson - Trigonometry - 1762 - 488 pages
...magt-irndcs \vhntever of the fame kind A, B, C, D &c. the ratio compounded of the ratios of the firfr. to the fecond, of the fecond to the third, and fo on to the laft, is only a name or expreffion by whkt the ratio which the firft A has to the laft D is fignified, and... | |
 | John Muller - Mathematics - 1769 - 152 pages
...the firft a to the fourth d. 7. If there be any number of quantities, a, b, c, d, of the fame kind, the ratio of the firft a to the laft d, is faid to...the firft to the fecond, of the fecond to the third, of the third to the fourth, and fo on to , , n . abca the laft, v1z.?x-x7=7. 1 19. If 19. If four quantities... | |
 | John Muller - Mathematics - 1773 - 202 pages
...the firft a to the fourth d. 7. If there be any number of quantities, a, by c, d, of the fame kind, the ratio of the firft a to the laft d, is faid to...the firft to the fecond, of the fecond to the third, of the third to the fourth, and fo on to .11/L . <zbca the laft, viz. rx - x -7 =7. oca <* 19. If four... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...faid, it may be obferved, that in any magnitudes whatever of the fame kind A, B, C, D, &c. the ratio compounded of the ratios of the firft to the fecond,...of the fecond to the third, and fo on to the laft, is only a name or expreffion by which the ratio which the firft A has to the laft D is fignified, and... | |
 | Euclid - 1781 - 552 pages
...may be obferved, that ia ar. •• magnitudes whatever of the fame kind A, B, C, D, &c. tbe ratio compounded of the ratios of the firft to the fecond,...of the fecond to the third, and fo on to the laft, is only a name or expreflion by which the ratio which the firft A has to the laft D is fignified, and... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...whatever of the fame kind A, B, C, D, &c. the ratio compounded of the ratios of the firft to the lecond, of the fecond to the third, and fo on to the laft, is only a name or expreflion by which the ratio which the firft A has to the laft D is iignified, and... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...fame kind, taken in order, the ratio of the firft to the laft, is faid to he compounded of the ratio of the firft to the fecond, of the fecond to the third, and fo on, to the laft. , 8. A right line is faid to be divided in extreme and mean ratio, when the whole line is to the greater... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...faid it may be obferved, that in any mngitudes whatever of the fame kind A, 13, C, D, &c. the ratio compounded of the ratios of the firft to the fecond,...of the fecond to the third, and fo on to the laft, is only a name or expreflion by which the ratio which the firft A has to the laft D is fignified, and... | |
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From what has been faid, it may be obferved, that in any magnitudes whatever of the fame kind A, B, C, D, &c. the ratio compounded of the ratios of the firft to the fecond, of the fecond to the third, and fo on to the laft, is only a name or... 