 | John Playfair - Mathematics - 1806 - 320 pages
...straight lines which meet each other be parallel to two straight lines which meet each other, though not in the same plane with the first two, the first two and the other two will contain equal angles. Let the two straight lines AB, BC, which meet each other, be parallel to... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...triangle HLD : and because ihe two straight lines EH, HG which meet one another are parallel to KD, DL that meet one another, and are not in the same plane with them, they contain equal « angles; therefore the angle EHG is equal to the angle KDL. Again, because... | |
 | Euclid - Geometry - 1810 - 554 pages
...another. Therefore AB isc6. 11. parallel to CD. Wherefore, two straight lines, &c. QED PROP. X. THEOR. IF two straight lines meeting one another be parallel...same plane with the first two, the first two and the ether two shall contain equal angles. Let the two straight lines AB, BC which meet one another be parallel... | |
 | John Mason Good - 1813 - 714 pages
...Theoj. If two straight lines meeting one another bo parallel to two others that meet one another, anil are not in the same plane with the first two; the first two and tin; other r.ro shall contain equal angles. Prop. XI. Prob. To draw a straight line perpendicular to... | |
 | Euclides - 1816 - 588 pages
...the two straight lines AB, BC, which meet one another, be parallel to the two straight lines DE, EF, that meet one another, and are not in the same plane with AB, BC. The angle ABC is equal to the angle DEF. Take BA, BC, ED, EF all equal to one another; and... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...THEOR. If two straight lines meeting one another be parallel to two others that meet one another, though not in the same plane with the first two ; the first...two and the other two shall contain equal angles. Let the two straight lines AB, BC which meet one another be parallel to the two straight lines DE,... | |
 | John Playfair - 1819 - 354 pages
...Let the two straight lines AB, BC which meet one another be parallel to the two straight lines DE, EF that meet one another, and are not in the same plane with AB, BC. The angle ABC is equal to the angle DEF. Take BA, BC, ED, EF all equal to one another ; and... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...lines, &c. QED i PROP. X. THEOR. IF two straight lines meeting one another be parallel to two other that meet one another, and are not in the same plane...two and the other two shall contain equal angles. Let the two straight lines AB, BC which meet one another be parallel to the two straight lines DE,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...triangle HLD: And because the two straight lines EH, HG, which meet one another, are parallel to KD, VL that meet one another, and are not in the same plane with them, they contain equal (10. 11.) angles,'; therefore the angle EHG is equal to the angle KDL. Again,... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...THEOR. If two straight lines meeting one another be parallel to two others that meet one another, though not in the same plane with the first two ; the first two and the other two shall eontain equal angles. Let the two straight lines AB, BC whieh meet one another be parallel to the two... | |
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... not in the same plane with the first two ; the first two and the other two shall contain equal angles. 
