 | 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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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... 
