 | Euclides - 1862 - 140 σελίδες
...the triangle AEB to the triangle CEF. (I. 4.) 6. And the 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 EOF. (I. 4,) 7. But the angle ECD is greater than the angle ECF. (ax. 9.)... | |
 | Euclides - 1863 - 122 σελίδες
...viz., those to which the equal sides are opposite. Therefore tho angle ACB is equal to the angle CBD. Because the straight line BC meets the two straight...the alternate angles ACB, CBD equal to one another. Therefore AC is (I. 27) parallel to BU ; and AC was proved to bo equal to BD. Therefore the straight... | |
 | Euclides - 1864 - 448 σελίδες
...the two triangles BFC, CGB; wherefore these triangles are equal, (I. 4.) and their remaining angles, each to each, to which the equal sides are opposite ; therefore the angle FBCia equal to the angle GCB, and the angle BCFto the angle CBG. And, since it has been demonstrated,... | |
 | Euclides - 1864 - 262 σελίδες
...ABC to the triangle BCD, and the other angles to the other angles, each to each, to which the eqjial sides are opposite ; therefore the angle ACB is equal to the angle CUD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate... | |
 | Euclides - 1865 - 80 σελίδες
...included angle ABC is equal BCD; therefore the triangles (12) are equal, and AC is equal to BD, but the angle ACB is equal to the angle CBD ; and because...the straight line BC meets the two straight lines AC and' BD, and makes the alternate angles ACB, CBD equal, AC is (Def. 12) parallel to BD, and it was... | |
 | Euclides - 1865 - 402 σελίδες
...to the triangle DEF, and the remaining angles of the one equal to the remaining angles of the other, each to each, to which the equal sides are opposite ; therefore the angle BHA is equal to the angle EFD ; (i. 4) but the angle EFD is equal to the angle BCA ; (hyp.) therefore... | |
 | Robert Potts - 1865 - 528 σελίδες
...base DF, (i. 4.) and the triangle GBC to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE; but the angle A CB is, by the hypothesis, equal to the angle DFE; wherefore... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...the other angles to the other angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle ACB is equal to the angle CBD....angles ACB, CBD equal to one another, AC is parallel to BD. [I. 27. And it was shewn to be equal to it. Wherefore, the straight lines &c. QED PROPOSITION... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...the other smgles to the other angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle ACB is equal to the angle CBD....angles ACB, CBD equal to one another, AC is parallel to BD. [I. 27. And it was shewn to be equal to it. Wherefore, the straight lines &c. QED PROPOSITION... | |
 | Robert Potts - 1868 - 434 σελίδες
...triangle EAB is equal to the triangle CBA, and the remaining angles will be equal to the remaining angles, each to each, to which the equal sides are opposite. Therefore the angle BAG is equal to the angle ABE; and the angle A HE is double of the angle BAH, (I. 32.) but the angle... | |
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BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate... 
