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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. "
The Projection and Calculation of the Sphere for Young Sea Officers Being a ... - Page 18
by S. M. Saxby - 1861 - 112 pages
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...'Which was to be done. PROP. XIII. THEOR. The angles which one straight line makes with another upon the 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 are either two...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...the manner of adjusting and using it. 3. Investigate the prismoidal formula. GEOMETRY. Secfion 1. 1. The angles which one right line makes with another...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, Volume 4

Education - 1850 - 488 pages
...to its present position, the Order of Jesuits. GEOMETRY. SECTION I. 1. The angles which one straight line makes with another upon one side of it, are either...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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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...temporal well-being. WB EXAMINATION PAPER FOR PUPIL TEACHERSEUCLID PAPER, I. The angles which one straight line makes with another upon one side of it, are either...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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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...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...
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The popular educator, Volumes 1-2; Volume 5

Popular educator - 1852 - 842 pages
...from Prop. XIII., Book 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 - 152 pages
...viii. 1. BOOK I. PROP. XIII. THEOR. The angles which one straight line makes with another upon the 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 are either two...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...the given straight line AB. Which was to be done. PROP. XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are either...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...straight line a b. Which was to be done. PROPOSITION XIII. — THEOREM. The angles which one straight line makes with another upon one side of it are either...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given straight line AB. Which was to be done. PROPOSITION XIII. THEOR. The angles which one straight line makes with another upon one side of it, are either...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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