| Thomas Hadyn Ward Hill - 190 pages
...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... | |
| 480 pages
...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... | |
| James McMahon - 2018 - 244 pages
...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... | |
| Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...angles on the same side of the cutting Hue are together equal to two right angles ... 8 THEOREM G. **Straight lines which are parallel to the same straight line are parallel to one another** 9 ANGLE-SUM FOR TRIANGLE AND POLYGON. PAGE THEOREM 8. The sum of the angles of a triangle is equal... | |
| Missions - 1854 - 734 pages
...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... | |
| Euclid - 1845 - 328 pages
...angle BAC, PQ, PR are drawn parallel to CA, BA, meeting AB, AC in Q, R; prove that PQ=PR. 65. PROP. 4. **Straight lines which are parallel to the same straight line are parallel to one another.** Let AB be parallel to LM and CD parallel to LM ; to prove that AB is parallel to CD. The straight lines... | |
| University of Bombay - 1909 - 982 pages
...are together equal to two right angles, then the two straight lines are parallel ; and the convene. **Straight lines which are parallel to the same straight line are parallel to •one another.** Triangle* and Rectilinear Figure*The turn of the angles of a triangle is equal to two right angles.... | |
| 130 pages
...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... | |
| University of Cambridge - 1907 - 1646 pages
...interior angles on the same side of the cutting line are together equal to two right angles, then the **two straight lines are parallel ; and the converse. Straight lines which are parallel to the** ваше straight line are parallel to one another. Triangles and Jleclilincar figures. The sum of... | |
| London univ - 1874 - 778 pages
...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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