| Benjamin Greenleaf - Geometry - 1873 - 202 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- E sect the parallel lines AB, CD; the \ T alternate angles AG II, GHD... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...easily deduced the following Theorems : If a straight line, falling upon two other straight lines, makes **the exterior angle equal to the interior and opposite upon the same side of the line,** the two straight lines shall be parallel. c /G JD Let the straight ImeEFGH, falling upon the two straight... | |
| Euclides - 1874 - 120 pages
...to CD. Therefore, if a straight line, &c. QED PROPOSITION 28. THEOREM. 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 tlie line, or make the interior angles on the same side together equal to... | |
| Euclides - 1874 - 342 pages
...drawn from the vertex perpendicular to the base, and another bisecting the angle at the vertex. 19. **If a straight line falling upon two other straight lines, make the** two exterior angles on the same side of it equal to two right angles, these two straight lines are... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 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- E sect the parallel lines AB, CD; the \ , alternate angles AGH, GHD... | |
| Edward Atkins - 1874 - 428 pages
...the third angle BDF (I. 4). Therefore, if two triangles, &c. QED i Proposition 27.— Theorem. /,: **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. Let the straight... | |
| Edward Atkins - 1874 - 426 pages
...another, and the exterior angle equal to the interior and opposite upon the same side; and also the two **interior angles upon the same side together equal to two right angles.** Let the straight line EF fall upon the parallel straight lines AB, CD; The alternate angles AGH, GHD... | |
| Bombay city, univ - 1874 - 648 pages
...CHBATII. [The black figures to the right indicate full marks.! 1. Define Parallel straight lines. 10 **If a straight line falling upon two other straight lines make the** alternate angles equal to one another, the two straight lines shall be parallel to one another. 2.... | |
| Robert Potts - Geometry - 1876 - 446 pages
...therefore AB is parallel to CD. Wherefore, if a straight line, &c. QEO PROPOSITION XXVIIL THEOREM. **If a straight line falling upon two other straight...lines, make the exterior angle equal to the interior** auji opposite upon the same tide of the line ; or make the interior angles upon the tame side together... | |
| Education Department,London - 1876 - 1010 pages
...formed whose sides arc parallel to those of the original triangle. 1. 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, the two straight lines shall be parallel to one another. 2. Parallelograms... | |
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