| Euclides - 1874
...eyual to two right angles (Ax. 1). Wherefore, if a straight line, &c. QED PROPOSITION 30. — Theorem. **Straight lines which are parallel to the same straight line are parallel to** each other. Let the straight lines AB, CD, be each of them parallel to EF. Then shaU AB be also parallel... | |
| Richard Wormell - 1876
...greater base, shall be greater than the angle contained by the sides equal to them, of the other. 4s 30. **Straight lines which are parallel to the same straight line are parallel to one another.** . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal... | |
| Francis Cuthbertson (geometer.) - 1876
...straight lines which cut one another cannot be parallel to the same straight line. . PROPOSITION XV. **Straight lines which are parallel to the same straight line are parallel to one another.** AB Let the straight lines A and B be each of them parallel to C. Then shall A and B be parallel to... | |
| Henry Major
...Composition. — Write from memory the substance of the passage read to yon by the Inspector. Euclid. — 1. **Straight lines which are parallel to the same straight line are parallel to** each other. 2. If the square described upon one of the sides of a triangle be equal to the squares... | |
| J. G - 1878
...of intersection of these planes shall be parallel to each of the twogiven straight lines. Or : — **Straight lines which are parallel to the same straight line are parallel to one another.** (See Euclid XI., 9.) Or : — If a straight line is parallel t& two planes it is also parallel to their... | |
| Āryabhaṭa - 1878
...angles are equal, therefore AB and CD are parallel (P. 7). Wherefore if a straight line &c. QED Cor. **Straight lines which are parallel to the same straight line are parallel to** each other. PROP. ix. PROBLEIT. (E. 1. 31.) To draio through a given point a straight line parallel... | |
| Thomas Hunter - 1878 - 132 páginas
...of any acute and obtuse angle will be equal to two right angles. PROPOSITION XXVIII.—THEOREM. Two **straight lines which are parallel to the same straight line are parallel to** each other. r to the same straight line EF; G Let AB and CD be parallel A. -f^ B then will they be... | |
| Moffatt and Paige - 1879
...III.) .-. Remaining angle of the one=remaining angle of the other. SECTION III. (Three questions.) 1. **Straight lines which are parallel to the same straight line, are parallel to one another.** If the straight line, to which two others are parallel, lie between them, show that this property follows... | |
| W J. Dickinson - 1879 - 36 páginas
...bisected in that point 30. When are straight lines said to be parallel to each other ?" Prove that **straight lines which are parallel to the same straight line are parallel to one another.** 31. Draw a straight line through a given point parallel to a given straight line. From a given point... | |
| Edward Harri Mathews - 1879
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. **Straight lines, which are parallel to the same straight line, are parallel to** each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
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