| John Playfair - Euclid's Elements - 1855 - 340 pages
...CHF, or AGE, DHF, the alternate exterior angles. ^ PROP. XXX. THEOR. - / j' *V •- VJ - ' * raight **lines which are parallel to the same straight line are parallel to one another.** Let AB, CD, be each of them parallel to EF ; AB is also parallel to CD. Let the straight line GHK cut... | |
| 1856 - 428 pages
...the straight line в с is parallel to the straight line g. 30. AK. -v/ PBOPOSITION XXX— THEOREM. **Straight lines which are parallel to the same straight line are parallel to** each other. In fig. 30, let the straight lines А в and с D be each of them parallel to в F. Then... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...sides of the one shall be equal to the angle contained bv the two sides equal to them of the other. 2. **Straight lines which are parallel to the same straight line are parallel to** each other. 3. If a straight line be bisected and produced to any point, the rectangle contained by... | |
| Royal college of surgeons of England - 1860 - 336 pages
...proposition. 3. If two straight lines cut one another, the vertical or opposite angles shall be equal. 4. **Straight lines which are parallel to the same straight line are parallel to one another.** 5. If a straight line be bisected and produced to any point the rectangle contained by the whole line... | |
| Euclides - 1860 - 288 pages
...angles on the same side are together equal to two right angles. fT-'ii PROPOSITION XXX. THEOREM. ,^ **Straight lines which are parallel to the same straight line are parallel to one another.** Given that AB and CD are each of them parallel to EF ; to prove that AB is also parallel to CD. (Const.)... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to two right angles, (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. THEOREM. **Straight lines which are parallel to the same straight line are parallel** ta each other, Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also... | |
| Euclides - 1862 - 140 pages
...anglea (ax. 1.) Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 30.— THEOREM. **Straight lines which are parallel to the same straight line are parallel to one another.** (References— Prop. I. 27, 29; ax. 1.) Hypothesis. — Let AB, CD, be each of them parallel to EF.... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...given point in a given straight line make a rectilineal angle equal to a given rectilineal angle. 5. **Straight lines which are parallel to the same straight line are parallel to** each other. 6. If a parallelogram and a triangle be on the same base and between the same parallels,... | |
| Euclides - 1864 - 262 pages
...equal to two right angles, (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. 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 shall AB be also parallel... | |
| Euclides - 1864 - 448 pages
...equal to two right angles- (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. 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 shall AB be also parallel... | |
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