 | Robert Simson - 1762 - 488 Seiten
...Book I. angle ACB is equal to the angle CBD. and becaufe the Araight line BC meets the two ftraight lines AC, BD and makes the alternate angles ACB, CBD equal to one another, AC is parallel c to BD. and it was fhewn to be equal to it. therefore ftraight lines &c. Q._E. D. PROP. XXXIV. THEOR.... | |
 | Euclid - 1781 - 552 Seiten
...equal to the angle CBD ; V^"VO and becaufe the ftraight line BC meets the two ftraight lines b *• '. AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel e to BD ; and it was f liown to be c tj. r. equal to it. Therefore ftraight lines, &c. Q; E• D. PROP.... | |
 | Robert Simson - 1781 - 534 Seiten
...angle CBD. and becaule the ftraight line BC meets the two ftraight lines AC, 13D and makes b. 4- 1. the alternate angles ACB, CBD equal to one another, AC is parallel c to BD. and it was fhewn to be equal to it. therefore0- **, '• ftraight lines, &c. Q^ED PROP. XXXIV.... | |
 | Alexander Ingram - 1799 - 374 Seiten
...- the angle ACB is equal to the angle CBD ; and becaufe the ftraight line BC meets the two ftraight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is paC »7» i. rallel c to BD ; and it was mown to be equal to it. Therefore ftraight lines, gcc. C^E... | |
 | Robert Simson - 1804 - 530 Seiten
...CBD. and becaufe the ^-~V"-; ftraight line BC meets the two ftraight lines AC, BD and makes, ' 4' i" the alternate angles ACB, CBD equal to one another, AC is parallel c to BD. and it was fhewn to be equal t« it. therefore c. 27« ftraight lines, &c. Q^ E, D. PROP.... | |
 | Robert Simson - 1806 - 546 Seiten
...base DF, and the triangle GBC to the tri- a 4. 1. angle 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... | |
 | John Playfair - 1806 - 320 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 t EFD ; but EFD is equal to the angle BCA ; therefore also Book I. the angle... | |
 | Euclides - 1814 - 560 Seiten
...the base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles 6 , each to each, to which the equal sides are opposite;...therefore the angle ACB is equal to the angle CBD; and be- Boon I. canse the straight line BC meets the two straight lines AC, w ~v" ' -' BD, and makes the... | |
 | Euclides - 1816 - 588 Seiten
...common to the two triangles BFC, CGB ; wherefore the triangles are equal b, and their remaining angles, each to each, to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB, and the angle BCF to the angle CBG: And, since it has been demonstrated,... | |
 | John Playfair - 1819 - 354 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...BD, and makes the alternate angles ACB, CBD equal to ofie another, AC is parallel (27. 1.) to BD ; and it was shewn to be ^q'nal to it. Therefore, straight... | |
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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... 
