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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... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Σελίδα 21
των Royal Military Academy, Woolwich - 1853
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...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....

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...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....

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 σελίδες
...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....

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...- 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...

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...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....

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...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...

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...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...

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...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...

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...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,...

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...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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