 | Euclid - Euclid's Elements - 1904 - 488 pages
...angle GHD ; that is, the alternate angles AGH, GHD are equal. QED /^ / /£ PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. J K/ F/ Let the straight lines AB, CD be each parallel to the straight line PQ. Then shall AB and CD... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...is perpendicular to the plane X. 20 SOLID GEOMETRY PARALLEL LINES IN DIFFERENT PLANES. 16. PROP. 15. Straight lines which are parallel to the same straight line are parallel to one another. L Let AB and CD be both parallel to LM ; to prove that AB is parallel to CD. Let X represent a plane... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...the same side of the line supplementary, 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 rectilineal figures. The sum of the angles of a triangle is equal to two right angles.... | |
 | University of Allahabad - 1907 - 528 pages
...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., TBIANGLES AUD EECTILINBAL FIGUBES. The sum of the angles of a triangle is equal to two right anglesIf... | |
 | University of Allahabad - 1908 - 568 pages
...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. TBIANGLES AND EECTILINEAL FIGUBES. The sum of the angles of a triangle is equal to two right angles.... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...PARALLELS ILLUSTRATED BY ROTATION. HYPOTHETICAL CONSTRUCTION ---------- 39 THEOREM 15. [Euc. I. 30.] Straight lines which are parallel to the same straight line are parallel to one another. 40 Triangles continued. THEOREM 16. [Euc. I. 32.] The three angles of a triangle are together equal... | |
 | Mathematics - 1909 - 605 pages
...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.... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
....-. straight lines which are parallel to the same straight line are not intersecting lines, ie : — Straight lines which are parallel to the same straight line are parallel to each other. THEOREM 8 If a transversal cuts two parallel straight lines, the alternate angles are equal... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...together equal to two right angles, then the two straight lines are parallel ; and the converse. 4. Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. 5. The sum of the angles of a triangle is equal to two right angles.... | |
 | Great Britain. Board of Education - Education - 1912 - 1046 pages
...together equal to two right angles, then the two straight lines are parallel ; and the converse. 4. Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. 5. The sum of the angles of a triangle is equal to two right angles.... | |
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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. 
