 | Robert Simson - Trigonometry - 1806 - 548 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 - 556 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 - 592 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 - 714 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 - 1058 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 - 546 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 - 542 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 - 212 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... | |
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If the first magnitude be the same multiple of the second that the third is of the fourth, and the fifth the same multiple of the second that the sixth is of the fourth ; then shall... 
