| University of Oxford - 1913 - 386 páginas
...are together equal to two right angles, then the two straight lines are parallel ; and the converse. Straight lines which are parallel to the same straight line are parallel • to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.... | |
| James McMahon - 2018 - 244 páginas
...eqnal. (ii) If a triangle has one of its angles a right angle, two of its angles are acute. THEOREM 6. Straight lines which are parallel to the same straight line are parallel to one another. A f B C k D I I fig. 89. Data AB, CD are each || to XY. To prove that AB is || to CD. Construction... | |
| 352 páginas
...(2) corresponding angles are equal, (3) the interior angles on the same side of the PAGE THEOREM 6. Straight lines which are parallel to the same straight line are parallel to one another . . , 263 THEOREM 7. If straight lines are drawn from a point parallel to the arms of an angle, the... | |
| 480 páginas
...and (iii). IIEx. 6. Prove Th. 5 (iii) by Playfair's Axiom and deduce Th. 5 (i) and (ii). | THEOREM 6. Straight lines which are parallel to the same straight line are parallel to one another. I Pig. 7. Data AB, CD are each || to XY. To prove that AB is || to CD. Construction Draw a st. line... | |
| McGill University - 1910 - 92 páginas
...are together equal to two right angles, then the two straight lines are parallel; and the converse. Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.... | |
| Thomas Hadyn Ward Hill - 190 páginas
...examples having a bearing on this chapter are worked on pp. 37, 96 and 102. Exercise i 1. Prove that straight lines which are parallel to the same straight line are parallel to one another. 2. If a straight line is perpendicular to one of a system of parallel straight lines, it is perpendicular... | |
| 1854 - 734 páginas
...wonderful help that announcement used to be to us in mastering " Hie, hicc, hoc," ami proving that " straight lines which are parallel to the same straight line are parallel to one another !" Some seventy years ago there was a famous pirate named Captain Kidd. His plan was to give chase... | |
| 130 páginas
...show that the straight lines which bisect the corresponding angles EFB, FGD are parallel. 35. PROP. 4. Straight lines which are parallel to the same straight line are parallel to one another. E /H -'K Let AB be parallel to LM and CD parallel to LM ; to prove that AB is parallel to CD. Draw... | |
| 464 páginas
....'.z.DGH + /.CGH=2rt. AS, II and, by (1), /.CGH = z.GHF, .'.LDGH +/.GHF = 2rt. Ls. q. KD THEOREM I. 6. Straight lines which are parallel to the same straight line are parallel to one another. fig. 272. Data AB, CD are each || to XY. To prove that AB is || to CD. Construction Draw a st. line... | |
| London univ - 1874 - 778 páginas
...2. Divide a given rectilineal angle into two equal angles. 3. Define Alternate Angles; and show that straight lines which are parallel to the same straight line are parallel to one another. What fraction of a right angle is the exterior angle of a regular heptagon? 4. Show that all the interior... | |
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