| 1836 - 472 páginas
...; and likewise the two interior angles upon the same side together equal to two right angles. XXX. **Straight lines which are parallel to the same straight line are parallel to one another.** XXXII. If a side of any triangle be produced, the exterior angle is equal to the two interior and op.... | |
| Euclid, James Thomson - 1837 - 390 páginas
...same has been proved (I. 30.) respecting straight lines in the same plane : therefore, universally, **straight lines which are parallel to the same straight line, are parallel to one another.** PROP. X. THEOR. IF two straight lines meeting one another, be parallel to two others that meet one... | |
| Euclides - 1838
...also BGH, «i AX. GHD are equal* to two right angles. Wherefore, if a straight line, &c. u. E. i,. **PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them parallel to EF : AB shall be parallel to CD. Let the straight... | |
| Euclides - 1840
...opposite angle on the same side; and the two internal angles on the same side together equal to two right **angles. PROP. XXX. THEOR. Straight lines which are...the same straight line, are parallel to one another.** A c/ B ci/ PROP. XXXI. PROB. From a given point to draw a straight line parallel to a given straight... | |
| Euclides - 1841 - 351 páginas
...angles; therefore BGH, GHD are * 1 Ax. also equal* to two right angles. Wherefore, if a straight, &c. QED **PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them parallel to EF; AB shall be parallel to CD. Let the straight... | |
| Euclides - 1842
...angles ; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight line, &c. QED **PROP. XXX. THEOR. STRAIGHT lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them parallel to EF; AB is also parallel to c D. Let the straight... | |
| William Chambers, Robert Chambers - 1842
...has ever yet fully succeeded in effecting the required demonstration. The 30th proposition shows that **straight lines which are parallel to the same straight line are parallel to one another.** The following demonstration of this fact is founded upon the truths previously advanced in the 29th... | |
| Euclid, James Thomson - 1845 - 352 páginas
...same has been proved (I. 30) respecting straight lines in the same plane : therefore, universally, **straight lines which are parallel to the same straight line, are parallel to one another.** PROP. X. THEOR. — If two straight lines meeting one another, be parallel to two others that meet... | |
| Euclides - 1845
...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... | |
| Great Britain. Admiralty - 1846
.../_ BGH, Prop. u. but ^EGB+^BGH= 2 rt Wherefore, if a straight line, &c. PROP. XXIX. THEOR. 30. lEu. **Straight lines which are parallel to the same straight line, are parallel to** each other. Let AB, CD, be each II EF ; then shall AB || CD. A - :/- - B * / /E - F /K. Again, v GK... | |
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