 | Euclides - 1862 - 140 pages
...each, to which the equal sides are opposite; 7. Therefore the angle ACB is equal to the angle CBD. 8. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another; 9. Therefore AC is parallel to BD (I.... | |
 | Euclides - 1863 - 122 pages
...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 lines AC, BD, and makes the alternate angles ACB, CBD equal to one another. Therefore AC is (I. 27) parallel to BU... | |
 | Robert Potts - 1865 - 528 pages
...other angles, each to each, to -which the equal sides are opposite ; therefore the angle A CB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles A CB, CBD equal to one another ; therefore AC is parallel to BD ; (i.... | |
 | Euclides - 1865 - 402 pages
...other angles, 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 in;. kcs the alternate angles ACB, CBD, equal to one another, therefore AC is parallel to BD, (L... | |
 | Euclides - 1865 - 80 pages
...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles, each to each, to which the equal sides are opposite ; [I. 4. 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 angles ACB, CBD equal to one another, AC is parallel to BD. [I. 27. And it... | |
 | Robert Potts - 1868 - 434 pages
...other angles, 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 angles ACB, CBD equal to one another; therefore AC is parallel to BD; (I. 27.)... | |
 | Euclides - 1874 - 342 pages
...other angles, each to each, to which the equal sides are opposite ; therefore 3. 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 angles ACB, CBD equal to one another, therefore 4. AC is parallel to BD (I.... | |
 | Euclides - 1874 - 120 pages
...angles, each to each, to which the equal sides are opposite ; [I. 4.] 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 angles ACB, CBD equal to one another, AC is parallel to BD. [I. 27.] And it... | |
 | Edward Atkins - 1874 - 428 pages
...ABC is equal to the triangle BCD (I. 4), TACB = Therefore the angle ACB is equal to the angle CBD. ^ CBD.~ And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBDequal to one another ; Therefore AC is parallel to BD (I. 27)... | |
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... 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 angles ACB, CBD equal to one another, AC is parallel to BD. 
