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" Straight lines which are parallel to the same straight line are parallel to one another. "
Mathematics in the Lower and Middle Commercial and Industrial Schools of ... - Page 15
by Edson Homer Taylor - 1915 - 96 pages
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The Elements of Solid Geometry

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...
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...corresponding angles equal, (iii) the interior angles on the same side of the line supplementary, then the two straight lines are parallel ; and the converse....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. If the sides...
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Calendar

University of Allahabad - 1907 - 528 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....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...
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Calendar

University of Allahabad - 1908 - 568 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....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....
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A School Geometry, Parts 1-4

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...
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Calendar

University of Allahabad - 1909 - 638 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 line are parallel to one another. TRIANGLES AWD RECTILINEAL FIGURES. The sum of the angles of a triangle is equal to two right angles. If the sides...
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The Ontario High School Geometry: Theoretical

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...
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General Announcement - McGill University, Montreal

McGill University - 1911 - 178 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....the same straight line are parallel to one another. The sum of the angles of a triangle is equal to two right angles. If the sides of a convex polygon...
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Calendar

University of Allahabad - 1911 - 726 pages
...interior angles on the sane 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 parrallel to the same straight line are parallel to one another. TWANGLES AND RECTILINEAL FIGURES....
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The Teaching of Mathematics in the United Kingdom

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...to one another. Triangles and Rectilinear Figures. 5. The sum of the angles of a triangle is equal to two right angles. 6. If the sides of a convex polygon...
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