 | 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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Straight lines which are parallel to the same straight line are parallel to one another. 
