 | Mathematics - 1835 - 684 pages
...line towards the same parts are parallel ; and conversely ... 12 (d) If a straight line falls upon two other straight lines, so as to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...interior angles on the same side are, in that case, both right angles. Cor. 2. 1f a straight line meet two other straight lines, so as to make the alternate angles equal to each other, the two lines will be parallel. Let OL meet AB and CD, so as to make AEL= EFD ; add to... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...— postulate, theorem, axiom, problem. 2. If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 3. If a straight line be bisected, and produced to any point, the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...QED — — . y PROPOSITION 27. THEOREM. -• If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the two straight lines AB,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...triangles &c. QED PROPOSITION 27. THEOREM. If a straight line falling on two other straight lines, •make the alternate angles equal to one another, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the two straight lines AB,... | |
 | Bombay city, univ - 1874 - 648 pages
...marks.! 1. Define Parallel straight lines. 10 If a straight line falling upon two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 2. Show that in any triangle the sum of the squares on 10 two sides... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...each. 4. What are parallel straight lines t If a straight line, falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 6. What is a parallelogram f Parallelograms on equal bases, and between... | |
 | James Maurice Wilson - 1878 - 450 pages
...could be no projection of AB on the terminated line GF. THEOREM 2i. If one straight line intersects two other straight lines so as to make the alternate angles equal, the straight lines are parallel. Part. En. Let A BCD intersect EF and GJT, and make the angle EBC equal... | |
 | Edward Harri Mathews - 1879 - 94 pages
...point of the base is at right angles to it 3- If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. A line making equal angles with the sides of an isosceles triangle,... | |
 | Alfred Milnes - 1880 - 140 pages
...examine from a logical point of view : — " If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another." — Euclid, I. 27; Wilson's Geometry, I. 21. Now, this proposition... | |
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If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. 
