IF a straight 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... The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| New Zealand Institute - Science - 1887 - 748 pages
...part of Euclid I., 29 : — " If a straight line fall upon two parallel straight lines, it shall make **the exterior angle equal to the interior and opposite angle on the same side."** This is an immediate consequence, hardly more than a re-statement, of the concept of parallel straight... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...BC intersect in 0: prove that the triangles OAB, OCD are each isosceles. 2. If a straight line falls **upon two parallel straight lines, it makes the alternate angles equal to one another,** the exterior angle equal to the interior and opposite angle on the same side of the line, and the two... | |
| George William Usill - Surveying - 1889 - 306 pages
...D, make the alternate angles equal to one another, then the two straight lines must be parallel. 16. **If a straight line fall upon two parallel straight lines, it makes the** two interior angles upon the same side together equal to two right angles, and also the alternate angles... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...on opposite sides of the common base. 4. If a straight line fall upon two paraHel straight lines 18 **it makes the alternate angles equal to one another,...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...CD. [DEF. 35. PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines makes **the exterior angle equal to the interior and 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... | |
| Euclid - Geometry - 1890 - 442 pages
...cross two parallel straight lines, it makes — (a) either pair of alternate angles equal ; (/3) each **exterior angle equal to the interior and opposite angle on the same side** ; (y) either pair of interior angles on the same side together equal to two right angles. B Let the... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...straight lines shall be parallel. 28. If a straight line falling on two other straight lines makes **the exterior angle equal to the interior and 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... | |
| Euclid - Geometry - 1892 - 460 pages
...PROPOSITION 2g. THEOREM. If a straight line fall on two parallel straight lines, then it shall make **the alternate angles equal to one another , and the exterior angle equal to the interior** opposite angle on the same side; and also the two interior angles on the same side equal to turn ril/ht... | |
| Henry Martyn Taylor - 1893 - 486 pages
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each **exterior angle equal to the interior and opposite angle on the same side** of the line, and it also makes interior angles on the same side together equal to two right angles.... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...straight line intersect two parallel straight lines, it makes alternate angles equal, it makes each **exterior angle equal to the interior and opposite angle on the same side** of the line, and it also makes interior angles on the same side together equal to two right angles.... | |
| |