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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... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 15
by Euclides - 1845
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...the straight line AB make with СD, upon one side of it, the two angles С BA, A 3 D. The*e angles are either two right angles, or are together equal to two right angles. For if the angle С BA bo equal to the angle ABD, each of them is a right angle (Def. 10). But if the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...line AB. PROP. XIII. THEOR. The angles which one straight line makes with another upon one side uf it, are, either two right angles, or are together...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...
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Guide to the civil service examinations [by H. White].

Henry White - 1856 - 168 pages
...parallelogram, proportion, reciprocal proportion. 17 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. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...can always be divided into two isosceles triangles. 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. 3. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...equal to each other. PROPOSITION II. THEOREM. The angles which one straight line makes w^tk another, one side of it, are either two right angles, or are together equJ< to two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...square root of (1) 49084036 (2) 901. •• Euclid. 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. The straight lines which join the extremities of two equal and parallel straight lines towards the...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...of everyday use in surveying : — The 13th, Book 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. The 14th, Book I. If at a point in a straight line, two other straight lines, upon the opposite sides...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...right 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 them is a right angle (Def. 10) ; but c K D if not, suppose...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...If equals be added to equals, the wholes are equal. P. 13. The angles which one st. line makes with another upon one side of it, are either two right angles, or together are equal to two rt. angles. Ax. 1. Magnitudes equal to the same, are equal to each other....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...yard. Euclid. 1. Define a right angley and 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. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given...
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