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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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## Minutes of the Committee of Council on Education, Volum 1

...GEOMETRY. Secfion 1. 1. The angles which one right line makes with another upon one side of it are either two right angles, or are together equal to two right angles. 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior...
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## The English Journal of Education, Volum 4

1850
...GEOMETRY. SECTION I. 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. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
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## An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 sider
...INTRODUCTION. THEOREMS. Theorem 1. [Euclid i. 13.] If one line falls on another the angles it makes with it are either two right angles, or are together equal to two right angles. Let AB meet the line DC, then the angles CDB CDA taken together are equal to two right angles. For let...
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## Papers for the Schoolmaster

1852
...TEACHERSEUCLID PAPER, I. 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. II. In any right angled triangle, the square which is described upon the side subtending the right...
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## The popular educator, Volumer 1-2;Volum 5

Popular educator - 1852
...I., which asserts that the anglet which one straight line mates with anoiJier upon one side of it, are either two right angles, or are together equal to two right any/is. The proof of the latter proposition is very easy ; for by referring to figs. 12 and 13, it...
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## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...angles. Let the straight line AB make with CD, upon one side 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, Dcf. 10. each of them is a right a angle; 2 Ax. but, if not,...
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## The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 136 sider
...PROPOSITION XIII. THEOREM. — Ifaftraight line (AB) standing upon another(GD) forms angles with it, they are either two right angles, or are together equal to two right angles. DEMONSTRATION. For if the line AB is E IA perpendicular to CD, the angles ABC and . / ABD are two right...
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...PROPOSITION XIII. THEOR. 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. For" if the angle CBA be equal to t ABD, each of them isa right (10 Def.) angle ; but if not, from...
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD; these are either two right angles, or are together equal to two right angles. . K t) BCDBC For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 10.). But if...
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## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...this case the angles ABC, ABD are together equal to two right angles. Hence the angles ABC, ABD are either two right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines,...
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