| Euclides, James Hamblin Smith - 1872 - 376 Seiten
...AB and CD are parallel. Def. 26. QEI). PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side oj' the line, or make the interior angles upon the same side together equal to two... | |
| Euclid, Charles Peter Mason - 1872 - 216 Seiten
...straight lines are parallel and a third straight line intersects them, each of the exterior angles is equal to the interior and opposite angle on the same side of the intersecting line. Let AB and CD be parallel, and let EH intersect ; them in the points F and L. We... | |
| Lewis Sergeant - 1873 - 182 Seiten
...Proposition 28. — Theorem. If a straight line fall on two parallel straight lines, it makes — (1.) The exterior angle equal to the interior and opposite angle on the same side of the line ; (2.) The alternate angles equal ; and (3.) The two interior angles on the same side of the line equal... | |
| Euclides - 1874 - 120 Seiten
...line fall on two parallel straif/ht lines, it makes the alternate angles equal to one 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. j Let the straight... | |
| Edward Atkins - 1874 - 426 Seiten
...Therefore, if a straight line, &c. QED Proposition 28. — Theorem. If a straight line fatting upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two... | |
| Edward Atkins - 1874 - 428 Seiten
...if a straight line, &c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two... | |
| Euclides - 1874 - 342 Seiten
...angle BAC to the third angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION 27. — Theorem. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight... | |
| Education Department,London - 1876 - 1010 Seiten
...4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, 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. What axiom... | |
| Edward Atkins - 1876 - 130 Seiten
...Therefore, if a straight line, &c. QED Proposition 28. — Theorem. Tf a straight line falling upon (wo other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two... | |
| Henry Major - 1876 - 784 Seiten
...describe its suppression. 3. Describe the chief events of Monmouth's rebellion in England and Scotland. 1. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements... | |
| |