| Robert Simson - Trigonometry - 1806 - 518 pages
...Book V. « holds in any number of magnitudes, which was here applied "to two.' QED PROP. II. THEOR. . **IF the first magnitude be the same multiple of the...the second that the sixth is of the fourth ; then** shall the first together with the fifth be the same multiple of the second, that the third together... | |
| Euclides - 1814 - 558 pages
...was here applied to two.' QED PROP. II. THEOR. IF the first magnitude be the same multiple of tlie **second that the third is of the fourth, and the fifth...of the second that the sixth is of the fourth; then** shall the first together with the fifth be the same multiple of the second, that the third together... | |
| Euclides - 1816 - 528 pages
...demonstration holds in any number of magnitudes, which * was liere appiieci to two.' QE D. PROP. II. THEOR. **IF the first magnitude be the same multiple of the...of the second that the sixth is of the fourth; then** shall the first together with the fifth be the same multiple of the second, that the third together... | |
| John Mason Good - 1819 - 740 pages
...be of all the other. Prop. II. Theor. If the first magnitude be the sume multiple of the second thai **the third is of the fourth, and the fifth the same multiple of the second** thiit the sixth is of tin' fourth ; then shall the first together with (he fifth be the »ame multiple... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...demonstration * holds in any number of magnitudes, which was here applied * to two.' Q- ED PROP. II. THEOR. **IF the first magnitude be the same multiple 'of the...the same multiple of the second that the sixth is** ofthe fourth; then shall the first together with the fifth be the same multiple of the second, that... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...any ' number of magnitudes, which was ' here applied to two/ Q. Б. D. PROP. II. THEOR. If Iheßrst **magnitude be the same multiple of the second that the third is of the fourth, and the** ßfth the same multiple of the second that the sixth is of the fourth ; then shall Iheßrst together... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...demonstration holds in any number of mag' nitudes, which was here applied to two.' QED PROP. II. THEOR. **If the first magnitude be the same multiple of the second that the third is of the** fourtht and thejjfth the same multiple of the second that the sixth is of the fourth; then shall the... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...and C were supposed to be any other equimultiples of A', B', and C'. PROPOSITION II. THEOREM. (475) **If the first magnitude be the same multiple of the...the second that the sixth is of the fourth ; then** shall the first together with the fifth be the same multiple of the second, that the third together... | |
| John Darby (teacher of mathematics.) - 1829 - 214 pages
...which may be found in the fifth book of Euclid. 1. Four quantities are proportionals, when the first is **the same multiple of the second, that the third is, of the fourth.** Thus, if a, b, c, and d, be the four proportionals, they are placed thus, a ; b ; ;c ; d, and ac are... | |
| Euclides - 1834 - 518 pages
...number of magnitudes, which was here ' applied to two.' QED ^^ PROPOSITION II. THHOR. — If the Jirst **magnitude be the same multiple of the second that...the second that the sixth is of the fourth ; then** shall theJirst together with the fifth be the same multiple of the second, that the third together... | |
| |