 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...  The student's algebra - Σελίδα 13των John Darby (teacher of mathematics.) - 1829Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Robert Simson - 1806 - 546 σελίδες
...number of magnitudes, 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 fourth, and the fifth the same multiple of the second that the sixth is of the fourth ; then shall the first... | |
 | Euclides - 1816 - 588 σελίδες
...of magnitudes, which * was liere appiieci to two.' QE D. PROP. II. THEOR. 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 the first... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 - 1828 - 542 σελίδες
...any other equimultiples of A', B', and C'. PROPOSITION II. THEOREM. (475) 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 the first... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...magnitudes were greater than two. Therefore, if any number, &c. PROP. II. THEOR. 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 the first... | |
 | Robert Simson - 1838 - 434 σελίδες
...number of ' magnitudes which was here applied to two.' QED PROP. II. THEOR. D 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 the first... | |
 | Euclides - 1841 - 378 σελίδες
...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 fourth, and the fifth the same multiple of the second that the sixth is ofthefowth; then shall the first together... | |
 | Oliver Byrne - 1841 - 144 σελίδες
...the third and sixth together, is of b the fourth. PROP. III. THEO. If the first of four magnitudes be the same multiple of the second that the third is of the fourth, and if any equimultiples whatever of the first and third be taken, those shall be equimultiples ; one... | |
 | Philip Kelland - 1843 - 168 σελίδες
...important propositions are omitted in the Fifth Element ; such as " four magnitudes are proportional when the first is the same multiple of the second that the third is of the fourth."* Truths of this kind are clear by their own light from the arithmetical notion of proportion, but are... | |
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