| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...:. 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 right angles; the... | |
| Henry Major - Student teachers - 1873
...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. Let the... | |
| Benjamin Greenleaf - Geometry - 1873 - 176 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 - 349 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
...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... | |
| Edward Atkins - 1874
...line fall upon two parallel straightlines, it makes the alternate angles equal to one anotlier, and **the exterior angle equal to the interior and opposite upon the same side;** and also tlie two interior angles upon the same side together equal to tico right angles. Let the straight... | |
| Euclides - 1874
...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. Let the... | |
| Benjamin Greenleaf - Geometry - 1874 - 176 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
...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... | |
| Education Department,London - 1876
...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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