 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...alternate angles equal; 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 EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD... | |
 | Euclides - 1862 - 172 pages
...angle BAC to the third angle EBP. (L4.) Wherefore, if two triangles, &c. QED PROP. XXVII.— THEOREM. If a straight line, falling upon two other straight lines, make the alternate angles equal to one another, then these two straight lines shall be parallel. Let the straight... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...Describe a square that shall be equal to a given rectilineal figure. 9. If a straight line falling on two other straight lines make 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...alternate angles equal; 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- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV... | |
 | Euclides - 1864 - 262 pages
...therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight...to two right angles ; the two straight lines shall oe parallel to o><e another. Let the straight line EF, which falls upon the two straight lines AB,... | |
 | Euclides - 1864 - 448 pages
...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 ; and lihewise the two interior angles upon the same side together equal to two right angles. Let the... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. Prop.... | |
 | Robert Potts - 1865 - 528 pages
...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; and likewise the two interior unifies upon the same side together equal to two right angles. Let the... | |
 | Euclides - 1865 - 80 pages
...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 AB, CD make the exterior... | |
 | Euclides - 1865 - 402 pages
...equal, each to each, and also the third angle of the one to the third angle of the other. Prop. 27. If a straight line falling upon two other straight lines, make the alternate angles equal to one another ; these two straight lines shall be parallel. Prop. 28. If a... | |
| |
Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
