 | Benjamin Greenleaf - 1863 - 504 Seiten
...other straight lines, makes any exterior angle equal to the interior and opposite angle, or makes the interior angles on the same side together equal to two right angles, the two lines are parallel. Let the straight line EF inter- E sect the two straight lines AB, CD, making... | |
 | Euclides - 1864 - 448 Seiten
...angle equal to the interior and opposite upon the same side ; and lihewise the two interior angles upon the same side together equal to two right angles. Let the straight line EFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal... | |
 | Euclides - 1864 - 262 Seiten
...equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together equal to two right angles. Let the straight line UFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal... | |
 | Robert Potts - 1865 - 528 Seiten
...angle equal to the interior and opposite upon the same side; and likewise the two interior unifies upon the same side together equal to two right angles. Let the straight line EFfaSi upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal... | |
 | Euclides - 1865 - 80 Seiten
...the exterior angle equal to the interior opposite angle on the same side of the line ; or makes the interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF which intersects the two straight lines... | |
 | 1867 - 224 Seiten
...another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled triangle, the square which is described on the side subtending the right angle... | |
 | Euclid, Isaac Todhunter - 1867 - 424 Seiten
...the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the... | |
 | Woolwich roy. military acad - 1868 - 426 Seiten
...equal to one another, the exterior angle equal to the interior and apposite angle on the same side, and the two interior angles on the same side together equal to two right angles. ABC is a triangle, bisect the angle BAG by AD, meeting BC in D, through D draw DE parallel to AB, and... | |
 | Benjamin Greenleaf - 1868 - 340 Seiten
...also any exterior angle equal to the 'interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV i \VT.... are equal ;... | |
| |
... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ;... 
