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" The angles which one straight line makes with another upon one tide of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two right... "
Elements of plane geometry, book i, containing nearly the same propositions ... - Page 37
by Euclides - 1865
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...line -AB. QEF PROPOSITION XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right angles, or are...together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD. Then these shall be either two right angles,...
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Annual Report

1868 - 876 pages
...other side of this base shall be equal 30 2. The angles which one straight line makes with another upon one side of it are either two right angles or are together equal to two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. In obtuse-angled...
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...equal, and vice versa. (Eue. L, 5, б.) 2. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles, or 180°. (Eue. I., 13.) 3. If two straight l1nes cut one another, the vertical or opposite angles...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...right angles. Let the straight line AB make with CD, upon one jlide of it, the angles CBA, ABD : these are either two right angles or are together equal to two right angles. For if the angle CBA be equal to ABD, each of them is a right angle ; but, if not, from the point B...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...and .-. L ABC is = L GHK. PROPOSITION IX. The angles which one straight line makes with another upon one side of it are either two right angles or are...together equal to two right angles. Let the straight line AB make with CD upon one side of it the L s ABC, ABD. These shall either be two right L s; C or shall...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...A B. " QEF PROPOSITION 13. — Theorem. The angles which one straight line makes with another upon one side of it, are either two right angles, or are...together equal to two right angles. Let the straight line AB make with CD upon one side of it, the Then the angles CBA, ABD shall be either two right angles,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...line AB. QEF Proposition 13. — Theorem. The angles which one straight line makes with another upon one side of it, are either two right angles, or are...together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD. These angles shall either be two right angles,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...AB. QEF Proposition 13.— Theorem. The angles which one straight line makes with another upon (me side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD. These angles shall either be two right angles,...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...The anr/les which one straight line makes with another straight line on one side of it, either are two right angles, or are together equal to two right angles. Let the straight line AJB make with the straight fine CD, on one side of it, the angles CBA, A 1. B ABD : these either are...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...all angles. THEOREM 16. (Euel. I. 13.) Two adjacent angles formed by a straight line meeting another are together equal to two right angles. Let the straight line CD meet another AB in the point C. E Let CE be a perpendicular on AB in the same point C. The angle ECB...
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