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" E, the adjacent angles CEA, AED; these angles are together equal to two right angles. (i. 13.) Again, because the straight line DE makes with AB... "
Elementary text book for young surveyors and levellers - Page 16
by Henry James Castle - 1856 - 185 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...equal, Let the two straight lines AB, CD cut one another in the point R. Then the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. c Because the straight line AE makes with CD at the point E, the adjacent angles CEA, AED ; these angles...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...equal. . Let the two ' ' straightlines AB, CD cut one another in the point E; the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. _ Because the straight line AE makes with the « • straight line CD the angles CEA, AED, these angles...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...equal. Let the two straight lines AB, CD cut one another in the point EThen the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. Demonstration. Because the straight line AE makes -with CD, at the point E, the adjacent angles CEA,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...equal. Let the two straight lines AB, CD cut one another in the point E. Then the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. C Because the straight line AE makes with CD at the point E, tto adjacent angles CEA, AED; these angles...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...equal. Let the two straight lines AB, CD cut one another in the point E. Then the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AE D. Because the straight line AE makes with CD at the point E the adjacent angles CEA, AED, these...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...be equal. Let the two straight lines AB, CD cut one another at the point E; the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle A ED. Because the straight line AE makes with the straight line CD the angles CEA, AED,theae angles...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...or opposite angle• are equal. Let the two straight lines AB, CD, cut one another in the point E. The angle AEC is equal to the angle DEB, and the angle CEB to the angle A ED. Because the straight line AE makes with CD the two angles CEA, AED, these angles are together...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...15. THEOREM. Let the two straight lines AB, CD cut one another at the point^ ; the angle AEG shall be equal to the angle DEB, and the angle CEB to the angle AED. Because the straight line AEmakes with the straight £ ^\ line CD the angles CEA, \. .d.EZ>,these angles...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - Surveying - 1885 - 444 pages
...two lines intersect each other as at E, Fig. 16a, the opposite angles are equal to each other : viz. the angle AEC is equal to the angle DEB; and the angle AED is equal to the angle CE B. Note. — This problem is the main principle on which large surveys...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...equal. A Let the two straight lines AB, CD cut one another at the point E : then shall the angle A EC be equal to the angle DEB, and the angle CEB to the angle AED Proof. Because AE makes with CD the adjacent angles CEA, AED, therefore these angles are together equal...
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