| Euclides - 1842 - 316 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF: but the angle...angle ECF; therefore the angle ACD is greater than** BAE : In the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle** ECD, that is ACD, is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated... | |
| Euclides - 1845 - 546 pages
...the remaining angles of the other, each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF ; but the angle ECD** or ACD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE. In the... | |
| Euclides - 1846 - 292 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; therefore **the angle BAE is equal to the angle ECF : But the...therefore the angle ACD is greater than the angle BAE,** or BAC. And, in like manner, if the side BC be bisected and AC be produced to G, it may be demonstrated... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle** ECD, that is ACD, is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated... | |
| Euclides - 1852 - 152 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF; but the angle...angle ECF ; therefore the angle ACD is greater than** BAE : In the same manner, if the side BC be bisected, and AC produced to G, it may be demonstrated... | |
| Euclides - 1853 - 146 pages
...angles to the remaining angles, each to each, to which the equal sides are opposite : wherefore, 4. **The angle BAE is equal to the angle ECF; but the angle ECD is greater than the angle ECF; therefore** 5. The angle A CD is greater than BAE. In the same manner, if the side BC be bisected, it may be demonstrated... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF ; But the angle ECD is greater** (9 Ax.) than the angle ECF ; therefore the angle ACD is greater than BAE : in the same manner, if the... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite ; wherefore **the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle** ECFs therefore the angle ECD, that is ACD, is greater than BAE : In the same manner, if the side BC... | |
| John Playfair - Geometry - 1855 - 334 pages
...to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle EOF; **but the angle ECD is greater than the angle ECF ; therefore the angle** ECD, that is A CD, is greater than BAE : In the same manner, if the side BC be bisected, it may be... | |
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