 | John Playfair - Euclid's Elements - 1832 - 358 pages
...since they do not meet towards L and D, they must meet if produced towards K and C. PROP. XXX. THEOR. Straight 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... | |
 | Euclid - 1835 - 540 pages
...also BGH, GHD are 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 one another. Let AB, CD be each of them parallel to EF, AB is also parallel to CD. Let the straight line GHK cut... | |
 | Mathematics - 1835 - 684 pages
...in ะก : the straight lines pq, p'q produced, shall, each of them, pass through the point C. Because straight lines which are parallel to the same straight line are parallel to one another (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor.... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...are equal to two right angles. Wherefore, " if a straight" &c. QED PROP. XXX. THEOR. Straight linen 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... | |
 | Mathematics - 1836 - 488 pages
...; 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.... | |
 | John Playfair - Geometry - 1836 - 148 pages
...two interior angles on the same side together equal to two right angles. COR. II. Straight lines that are parallel to the same straight line, are parallel to one another. PROP. IV. PROB. To draw a straight line through a given point parallel to a given straight line. Let... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...do not meet towards L and D, they will meet if produced towards K. and C. 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 parallel to EF, ABis also parallel to CD. Let the straight line GHK cut... | |
 | Robert Simson - Geometry - 1838 - 434 pages
.... Wherefore, if a straight line, &c. ft. ED * See the Notes to this Proposition. PROP. XXX. THEOR. STRAIGHT 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... | |
 | Euclides - 1838 - 264 pages
...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... | |
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Straight lines which are parallel to the same straight line are parallel to one another. 
