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" 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 shall either be... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 21
av John Playfair - 1847 - 317 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...PROPOSITION XIIR THEOREM. 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 AS 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

1876 - 710 sider
...First Book. 2. Show that 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. 3. Prove that if one side of a triangle be produced, the exterior angle is greater than either of the...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 sider
...as — , + , X .] 1. 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. 2. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 sider
...Proposition 13. — Theorem. Tfte angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to...CD, upon one side of it, the angles CBA, ABD. These angles shall either be two right angles, or shall together be equal to two right angles. PROOF. —...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 sider
...the two angles which one right line makes with another (on the same side of either right line) are either two right angles, or are together equal to two right angles. (8.) 9. Prove that the complements of the parallelograms, which are about the diameter of any parallelogram,...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 sider
...angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD ; these are either two right angles, or are together equal to two right angles. . For if the angle ABC is equal to ABD, each of CBD them is a right angle (Def. 19) ; but if these...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 sider
...XIII. THEOREM. The angles which one straight line makes with another upon one side of it are eitlter two right angles or are together equal to two right angles. Let AB make with CD upon one side of it the angles ABC, ABD ; then shall these be eithei' two right angles,...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 sider
...JAMES MATTHEW, BD 1. 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. 2. To make a triangle, of which the sides shall be equal to three given straight lines ; but any two...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...PROPOSITION XIII. THEOREM. The angles which one straight line makes with another on one side of it, are either two right angles, or are together equal to two right angles. Let the st. line AB make with CD, on one side of it, the L s CBA, ABD. Then these are either two rt. Zs, or...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 sider
...straight line AB make with CD, upon one side of it, the angles CB A, AB D. Then these two angles are either two right angles or are together equal to two right angles. DBCOBO For, if the angle CBA be equal to the angle ABD, then each of them is a right angle (Def. 10)....
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