 | 1906 - 502 pages
...often well answered. Q. '9. 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... | |
 | Joseph Gregory Horner - Engineering - 1908 - 556 pages
...line fall on two parallel straight lines P " 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 the two interior angles on the same side together equal to two right angles." Thus in Fig.... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...logically that All not-.5 is not-4. PROPOSITION 28. If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, ihe straight lines will be parallel... | |
 | 1908 - 574 pages
...in Euclid's first book. The most important of these propositions in its practical bearing is : — " 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... | |
 | Alberta. Department of Education - Education - 1911 - 226 pages
...straight line meet two parallel straight lines, it makes (1) alternate angles equal to one another, (2) the exterior angle equal to the interior and opposite angle on the same side, (3) the two interior angles on the same side together equal to two right angles. 29 — I. 7 4. The... | |
 | Horatio Scott Carslaw - Geometry - 1916 - 193 pages
...be parallel to one another. And in I. 28 that If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, *Here and in other places where the text of Euclid's Elements is quoted, the rendering in Heath's Edition... | |
 | Great Britain. Board of Education - English language - 1924 - 70 pages
...of the cutting line." " If a straight line falls across two parallel straight lines it makes . . . the exterior angle equal to the interior and opposite angle on the same side, and the two interior angles on the same Side together equal to two right angles." It wants a fairly... | |
 | Science - 1887 - 764 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 parnlle straight... | |
 | G.E. Martin - Mathematics - 1997 - 536 pages
...parallel to one another. (Corollary 21.6) 28. If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
 | Daniel Pedoe - Mathematics - 1988 - 468 pages
...straight lines will be parallel to one another. 28 If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel... | |
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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 the two interior angles on the same side together equal... 
