| 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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