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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: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Angles are equal. T ET the two Right Lines AB CD mutually cut -*-' each other in the Point E . I fay, the Angle AEC is equal to the Angle DEB; and the Angle CEB equal to the Angle A ED. For becaufe the Right Line AE, ftanding on the Right Line CD, makes the Angles...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...Angles are equal. JET the two Right Lines AB, CD, mutually cut •*"* each other in the Point E. I fay, the Angle AEC is equal to the Angle DEB; and the Angle CEB equal to the Angle AE D. For, becaufe the Right Line AE, {landing on the Right Line CD, makes the Angles...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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. Because the straight line AE makes with CD at the point E, the adjacent angles CEA, AED; these angles...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal. Let the two straight lines AB, CD cut one another in the point E. Then the angle AF.C 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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...1, 3.) Let the two straight lines AB, CD, cut each other in the point E. Then the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. B DEMONSTRATION Because the straight line AE makes with CD the angles CEA, AED, iJic.ii! angles are...
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A practical treatise on ... land and engineering surveying, Volume 34

Henry S. Merrett - 1863 - 476 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 school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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 A ED. C Because the straight line AE makes with CD at the point E, the adjacent angles CEA, AED ; these...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...1,3.) Let the two straight lines AB, CD, cut each other in the point E. Then the angle AEC shall be equal to the angle DEB, and the angle CEB to the angle AED. B DEMONSTRATION Because the straight line AE makes -with CD the angles CEA, AED, these angles are together...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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. "Because the straight line AE makes with CD at the point E, the adjacent angles CEA, AED ; these angles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 AED. Because the straight line AE makes with the straight AE\^ B line CD the angles CEA, \^ AED, these angles...
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