| John Playfair - Euclid's Elements - 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,... | |
| John Playfair - Circle-squaring - 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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