 | 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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CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which... 
