 | John Playfair - 1819 - 350 σελίδες
...to the base DF, and tke triaagle 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 DFE is, by the hypothesis, equal to the angle BCA ; wherefore also... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...the two DC, CB; and the angle ABC is equal to the angle BCD; therefore the base AC is equal (4. 1.) to the base BD, and the triangle ABC to the triangle...the equal sides are opposite: therefore the angle ACBis equal to the angle CBD; and because the straight line BC meets the two straight lines AC, BD,... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...equal to the base DF, and the triangle ABH to the triangle DEF, and the other angles shall be equal, each to each, to which the equal sides are opposite ; therefore the angle BHA is equal to the angle EFD ; but EFD is equal to the angle ВСЛ, therefore also the angle BHA... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...triangle ABC to tie triangle BCD, and the other angles to the other angles (4. 1.) eaeh to eaeh, to whieh the equal sides are opposite; therefore the angle ACB is equal to the angle CBD ; and beeause the straight line BC meets the two straight lines AC, BD, and makes the alternate angles, ACB,... | |
 | Euclides - 1826 - 226 σελίδες
...base FC ; and the triangle AEB to the triangle FEC ; also 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 ECF. But the angle ACD is greater than ECF. Therefore the anole ACD is greater... | |
 | Euclid - 1826 - 234 σελίδες
...triangle ABH to the triangle DFE ; also the remaining angles will be equal to the remaining angles, each to each, to which the equal sides are opposite. Therefore the angle BHA is equal to the angle EFD. But EFD is equal to the angle вcA.b And therefore the angle BHA b By... | |
 | Robert Simson - 1827 - 546 σελίδες
...to the base DF, and the triangle ABH 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 BHA is equal to the angle EFD : but EFD is equalf to the angle BCA ; 1 1 Ax. therefore also the angle... | |
 | Euclid, Robert Simson - 1829 - 548 σελίδες
...triangle BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides arc opposite: therefore the angle ACB is equal to the...ACB, CBD equal to one another, AC is parallel (27. 1.) to BD ; and it was shown to be equal to it. Therefore straight lines, &c. QED PROP. XXXIV. THEOR.... | |
 | John Playfair - 1829 - 210 σελίδες
...the base AC is equal to BD (Prop. 4.), and the angle ACB to CBD. Because the line BC meets the two lines AC, BD, and makes the alternate angles ACB, CBD equal to each other, AC is parallel to BD (Prop. 27.); and AC was shown to be equal to BD. Therefore, the two... | |
 | John Playfair - 1832 - 358 σελίδες
...BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles (4. l.)each to each, to which the equal sides are opposite; therefore...lines AC, BD, and makes the alternate angles, ACB, CBD equafto one another, AC is parallel (27. 1.) to BD; and it was shewn to be •equal to it Therefore... | |
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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... 
