 | Robert Potts - 1868 - 434 sider
...triangle to 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 BA E or BA... | |
 | Euclides - 1874 - 120 sider
...the re- \ maining angles, \ each to each, to ^ which the equal sides are opposite ; [I. 4.] therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Ax. 9.] Therefore the angle ACD is greater than the angle BAE. In the same manner if BC be bisected,... | |
 | Euclides - 1874 - 342 sider
...the remaining angles of the other, 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 or A CD is greater than the angle ECF, therefore 5. The angle ACD is greater than the angle BAE or... | |
 | Robert Potts - 1876 - 446 sider
...triangle to 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 A CD is greater than the angle ECF; therefore the angle ACD is greater than the angle BAE or BAC.... | |
 | Āryabhaṭa - 1878 - 100 sider
..."are opposite. Wherefore the angle BAF is equal to the angle ECF. But the angle FCD is greater (Ax. 7) than the angle ECF. Therefore the angle ACD is greater than the angle BAF, In the same manner, if the side BC be bisected, and AC be produced to G, it maybe demonstrated... | |
 | Moffatt and Paige - 1879 - 428 sider
...the equal sides are opposite. Therefore the angle BAE is equal to the angle EC F. But the angle ACD is greater than the angle ECF therefore the angle ACD is greater than the angle BA E. In the same way, if BC be bisected, and AC be produced to G, it may be demonstrated that the... | |
 | Isaac Todhunter - 1880 - 426 sider
...angles to the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Axiom 9. Therefore the angle ACD is greater than the angle BAE. In the same manner if BCbe bisected,... | |
 | Euclid - 1892 - 460 sider
...CEF; I. lo. therefore the triangle AEB is equal to the triangle CEF in all respects : I. 4. so that the angle BAE is equal to the angle ECF. But the angle ECD is greater than its part, the angle ECF: therefore the angle ECD is greater than the angle BAE: that is, the angle... | |
 | Henry Martyn Taylor - 1893 - 486 sider
...; (Prop. 4.) therefore the angle BAE (or BAC) is equal to the angle FCE. Now the angle ECD (or ACD) is greater than the angle ECF. Therefore the angle ACD is greater than the angle BAC. Similarly it can be proved that the angle BCG, which is made by producing AC and is equal to the... | |
 | Henry Martyn Taylor - 1895 - 708 sider
...(Prop. 4.) therefore the angle BA E (or BAC) is equal to the angle FCE. Now the angle ECD (or ACD) is greater than the angle ECF. Therefore the angle ACD is greater than the angle BA C. Similarly it can be proved that the angle SCG, which is made by producing AC and is equal to... | |
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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... 
