 When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right...  Calendar - Seite 172von University of Allahabad - 1909Vollansicht - Über dieses Buch
 | Robert Simson - 1806 - 546 Seiten
...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... | |
 | John Playfair - 1806 - 320 Seiten
...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... | |
 | Euclides - 1814 - 560 Seiten
...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 - 588 Seiten
...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... | |
 | John Playfair - 1819 - 350 Seiten
...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 - 1825 - 1046 Seiten
...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 - 276 Seiten
...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 - 1827 - 546 Seiten
...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 - 1829 - 210 Seiten
...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 - 1830 - 584 Seiten
...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.... | |
| |
