 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...line intersects one of two parallel lines, it will intersect the other also. (b) Straight lines that are parallel to the same straight line are parallel to one another. 3.1.4 Replacing Euclid's fifth postulate by the assumption that the sum of the angles of a triangle... | |
 | Judith Cederberg - Mathematics - 2004 - 472 pages
...a line intersects one of two parallel lines, it also intersects the other, (b) Straight lines that are parallel to the same straight line are parallel to one another. (This is Proposition 30.) 2. Prove that the two versions of Pasch's axiom are equivalent. 3. Work through... | |
 | 934 pages
...cutting line, together equal to two right angles, the straight lines are parallel 4. Straight lines that are parallel to the same straight line are parallel to one another. 5. The sum of three angles of a triangle is equal to two right angles. 6. If two triangles are such... | |
 | University of Bombay - 1907 - 940 pages
...right angles, then the two straight lines are parallel ; and the converse. Straight lines which arc parallel to the same straight line are parallel to...of the angles of a triangle is equal to two right ˇingles. If the sides of a convex polygon are produced in order, the sum of the angles so formed \я... | |
 | University of Oxford - Universities and colleges - 1915 - 618 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. If there are three or more parallel straight lines, and the intercepts made by them on any straight... | |
 | University of Bombay - 1918 - 654 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....parallel to the same straight line are parallel to one other. Triangle« and Beclilinear Figure». The sum of the angles of a triangle is equal to two right... | |
 | University of Bombay - 1911 - 1030 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....parallel to the same straight line are parallel to on« another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two... | |
 | University of Bombay - 1916 - 654 pages
...interior angles on the same side of the cutting line are togather equal to two right angles, then the two straight lines are parallel ; and the converse....Straight lines which are parallel to the same straight lino are parallel to one other. Trianglet and Rectilinear Figures. The mm of the angles of a triangle... | |
 | University of Bombay - 1912 - 1228 pages
...the cutting line are together equal to two right angles, then the two straight lines are paiallel ; and the converse. Straight lines which are parallel to the same straight line are parallel to one other. Triangle* and Rectilinear Figures. The sum of the angles of a triangle is eq'Jal to two right... | |
 | 348 pages
...(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... | |
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Straight lines which are parallel to the same straight line are parallel to one another. 
