 | Seymour Eaton - 1899 - 362 pages
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another,and the exterior angle equal to the interior and opposite angle on the same side ; and also... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...PROPOSITION 29. 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 two right... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...duplicate ratio occurs, and give a numerical illustration. 2. Prove that if a straight line falls on two parallel straight lines it makes the alternate angles equal to one another. 3. To a given straight line, apply a parallelogram equal to a given triangle and having one of its... | |
 | Education - 1902 - 678 pages
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) If a straight line fall upon two parallel straight lines, it makes the two interior angles on the same side together equal to two right angles, and also the alternate angles... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic 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 two right... | |
 | 1905 - 614 pages
...2. If two angles of a triangle be unequal the greater angle has the greater side opposite to it. 3. If a straight line fall upon two parallel straight...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... | |
 | Joseph Gregory Horner - Engineering - 1906 - 572 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. 4. The three interior angles of any triangle in marking out work, and the methods of иге together... | |
 | 1906 - 576 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on two parallel straight lines, it makes the alternate angles equal to one another. H 113 Anс THE ENCYCLOPEDIA OF 4. The three interior angles of any triangle in marking out work, and... | |
 | 1906 - 502 pages
...State the axiom on which your proof of the following theorem depends : — If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another. Give the proof of the theorem. In the quadrilateral A BCD the sides AH and CD are parallel and AB is... | |
 | 1908 - 574 pages
...most important of these propositions in its practical bearing is : — " If a straight line fall on two parallel straight lines it makes the alternate...exterior angle equal to the interior and opposite angle on the same side, and also the two interior angles on the same side together equal to two right angles."... | |
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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... 
