| 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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