 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 39by 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 - 356 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 - 526 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.... | |
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