 | Thomas Perronet Thompson - 1833 - 168 Seiten
...wherefore the J *• 4> third side AC isj equal to the third side DB, and the angle ACB to the angle DBC. And because the straight line BC meets the two straight lines AC, BD, and the alternate angles ACB, DBC *I.27.Cor.l. are equal to one another ; AC is* parallel to BD. And it... | |
 | Euclides - 1834 - 518 Seiten
...BD, and the triangle ABC to the triangle BCD, and the other angles to the other • 4. 1. angles*, each to each, to which the equal sides are opposite...and makes the alternate angles ACB, CBD equal to one • 2T. 1. another, AC is parallel * to BD ; and it was shewn to be equal to it. Therefore, straight... | |
 | Robert Simson - 1835 - 544 Seiten
...sides are Book I. opposite : therefore the angle ACB is equal to the angle CBD ; v— •/•»•• and because the straight line BC meets the two straight...BD, and makes the alternate angles ACB, CBD equal c 27. 1. to one another, AC is parallel0 to BD; and it was shown to be equal to it. Therefore, " straight... | |
 | Euclid - 1835 - 540 Seiten
...is equal to the base DF, and the triangle ABH to the triangle DEF, and the other angles are 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 BCA; therefore also the angle BHA is equal... | |
 | John Playfair - 1835 - 336 Seiten
...base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles (1. 1.) each to each, to which the equal sides are opposite; therefore the ansrle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines... | |
 | John Playfair - 1836 - 488 Seiten
...BD, and the tri- b 4. I. angle ABC to the triangle BCD, and the other angles to the other angles b, each to each, to which the equal sides are opposite...angles ACB, CBD equal to one another, AC is parallel ° to BD ; and it was shewn to be equal to it. c 27. 1. Therefore, straight lines, &c. QED PROP. XXXIV.... | |
 | John Playfair - 1837 - 332 Seiten
...base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles (4. 1 .) each to each, to which the equal sides are opposite...ACB, CBD equal to one another, AC is parallel (27. 1.) to BD ; and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral... | |
 | Euclid, James Thomson - 1837 - 410 Seiten
...BFC has been proved to be equal to CGB ; wherefore (I. 4. part 3.) their remaining angles are equal, each to each, to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB, and (I. 4. schol.) the angle ABC is equal to the angle ACB, which are... | |
 | Andrew Bell - 1837 - 290 Seiten
...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 BCA ; therefore also the angle BHA is... | |
 | Euclid - 1838 - 470 Seiten
...base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite...ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c. QED PROP. XXXIV. THEOR.... | |
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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... 
