 | Robert Simson - Trigonometry - 1762 - 488 pages
...Let C have the fame ratio to each of the magnitudes A and B ; A is equal to B. for if they are not, one of them is greater than the other ; let A be the greater, therefore, as was fhewn in Prop. 8th, there is fome multiple F of C, and fome equimultiples E and D... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...have the fame ratio to each of the magnitudes A and B ; A is equnl to B : For, if they ar • not, one of them is greater than the other ; let A be the greater ; therefore, as wa* fhewn in Prop. 8th, there is fome multiple F of C, and fome equimultiples E and... | |
 | Euclid - 1781 - 552 pages
...another. Let A, B have each of them the fame ratio to C ; A is equal to B : For, if they are not equal, one of them is greater than the other; let A be the greater; then, by what was fhown in the preceding propofition, there are fome equimultiples of A and B, and fome multiple... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...Let C have the fame ratio to each of the magnitudes A and B ; A is J equal to B. for if they are not, one of them is greater than the other ; let A be the greater, therefore, as was fhewn in Prop. 8th,, there is fdme multiple F of C, and fome equimultiples E and... | |
 | Euclides - 1816 - 588 pages
...let C have the same ratio to each of the magnitudes A and B; A is equal to B : For, if they are not, one of them ' * is greater than the other ; let A be the greater; therefore, as was shown in Prop. 8th, there is some multiple F of C, and some equimultiples E and D,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...С have the same ratio to each of the magnitudes A and В : A is equal to В : For, if they are not, one of them is greater than the other ; let A be the greater; therefore, as vva« shown in Prop. 8th, there is some multiple F of C, and some equimultiples E and... | |
 | Euclid - 1835 - 540 pages
...same ratio to each T of the magnitudes A and B ; then will A be equal to B : For, if they are not, one of them is greater than the other ; let A be the greater ; therefore, as was shown in Prop. 8, there is some multiple F, of C, and some equimultiples Eand D,... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...let C have the same ratio to each of the magnitudes A, and B ; A is equal to B. For, if they be not, one of them is greater than the other ; let A be the greater. Therefore, as was shown in proposition 8th, there is some multiple F of C, and some like multiples... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...another.* Let A, B have each of them the same ratio to C : A is equal to* B : for if they be not equal, one of them is greater than the other ; let A be the greater ; then, by what was shown in the preceding * See Note. proposition, there are some equimultiples of A and B,... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...let C have the same ratio to each of the magnitudes A and B ; A and B are equal. For, if they be not, one of them is greater than the other ; let A be the greater. Therefore, as was shown in proposition 8th, there is some multiple F of C, and some like multiples... | |
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... a therefore and b are not unequal ; that is, they are equaL. Next, let c have the same ratio to each of the magnitudes a and b ) a is equal to b. For, if they are not, one of them is greater than the other ; let a be the greater ; therefore as was... 
