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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 Geometry: Containing the First Six Books of Euclid, with a ... - Pagina 29
di John Playfair - 1833 - 333 pagine
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagine
...right 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, each of them is a right (Def. 10.) angle; but, if not, from...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - 1850 - 790 pagine
...prismoidal formula. 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, Volume 4

1850 - 488 pagine
...Jesuits. 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 - 674 pagine
...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, Volume 2

1852 - 316 pagine
...PUPIL 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, Volumi 1-2;Volume 5

Popular educator - 1852 - 842 pagine
...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 pagine
...right 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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagine
...done. 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 - 146 pagine
...right 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pagine
...right 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, each of them is a right angle (10 def.) ; but if not, from the...
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