| 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... | |
| |