| J. G - 1878 - 408 pages
...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... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...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... | |
| Āryabhaṭa - 1878 - 100 pages
...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... | |
| Moffatt and Paige - 1879 - 474 pages
...Therefore, if a straight line falls on two parallel straight lines, etc. QED Proposition XXX. Theorem. **Straight lines which are parallel to the same straight line are parallel to one another.** Let the straight lines AB, CD be each of them parallel to EF. Then AB shall also be parallel to C D.... | |
| Moffatt and Paige - 1879 - 378 pages
...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 - Geometry - 1879 - 44 pages
...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... | |
| Euclides - 1879 - 146 pages
...exterior angle of a triangle be parallel to the base, the triangle is isosceles. PROPOSITION XXX. THEOREM. **Straight lines which are parallel to the same straight line are parallel to one another.** Let AB, CD be each of them || EF. Then also AB shall be || CD. EV B Constr. Let st. line GHK cut AB,... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...be a right angle ; since they are together equal to two right angles. Proposition 28. Theorem. — **Straight lines which are parallel to the same straight line are parallel to** each other. Draw GHK cutting all three. Then, because AB, EF are parallel, the alternate angles AGH,... | |
| Edward Harri Mathews - 1879 - 94 pages
...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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