 | John Playfair - Euclid's Elements - 1806 - 320 pages
...towards L and D, they will meet if produced towards K and C. Book I. *-^wd 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... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...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 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 - 1814 - 558 pages
...therefore 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 each other. ' Let the straight line GHK cut AB, EF, CD; and because GHK cuts the parallel / straight... | |
 | Euclides - 1816 - 528 pages
...therefore 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 each other. Let AB, CD be each of them parallel to EF ; AB is also parallel to CD. Let the straight... | |
 | Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...towards L and D, they must meet if produced towards K and C. PROP. XXX. THEOR. Straight lines ~johich are parallel to the same straight line are parallel to one another. 1 Let AB, CD, be each of them parallel to EF ; AB is also parallel to CD. Let the straight line GHK... | |
 | Peter Nicholson - Mathematics - 1825 - 372 pages
...BGH, GH D are equal to two right angles. Wherefore, if a straight, &c. QED Proposition XXX. Theorem. Straight lines which are parallel to the same straight line are parallel to one another. Lei AB, CD be each of them parallel to EF j AB a alto parallel to CD. Let the straight line GHK cut... | |
 | George Lees - 1826 - 266 pages
...parallel, and since they do not meet towards L and D, they must meet if produced towards K and C. Cor. 2. Straight lines which are parallel to the same straight line, are parallel to one another. Scholium. This proposition suggests an 'easy method of drawing a parallel to a given straight line... | |
 | Robert Simson - Trigonometry - 1827 - 513 pages
...GHD are equal f to two right angles. Wherefore, if a straight line, &c. Q. £. D. 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... | |
 | John Playfair - Geometry - 1829 - 186 pages
...right angles. But they are alternate angles, therefore AB is parallel to CD. PROPOSITION III. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. Let two straight lines AB, CD be parallel to the same straight line EF; they are parallel to each other.... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...С : the straight lines pq, p' q1 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.... | |
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Straight lines which are parallel to the same straight line are parallel to one another. 
