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" ... not in the same plane with the first two ; the first two and the other two shall contain equal angles. "
The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ... - Page 10
by Thomas Gaskin - 1847 - 263 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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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