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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...given straight line AB. QEF PROPOSITION XIH. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right...or, shall be together, equal to two right angles. £ A For if the angle CBA be equal to the angle ABD, each of them is a right angle, (def. 10.) But...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...acute-angled triangle, a trapezium, a rectangle. 3. 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. 4. 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...which was required to be done. PROPOSITION XIII. THEOREM. 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. '.- Given the straight line AB making with CD, upon one side of it, the angles CBA and ABD ; to prove...
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The popular educator, Volume 1

Popular educator - 1860 - 424 pages
...and from Prop. XIII., Book I., which asserts that the anglei "/in-/, one straight line ma/tes with another upon one side of it, are either two right angles, or are together equal to two right angleĞ. The proof of the latter proposition is very easy ; for by referring to figs. 12 and 13, it...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...may here be introduced with advantage. Book I. XIII. — 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. Departing from the precise language of absolute and complete proof (for obvious reasons), we may say...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 244 pages
...straight line makes w^th another,upon one side of it, are either two right angles, or are together io two 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. A B *f not,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...the square root of '00497025. EL-GLIB. i. 1. 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. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 254 pages
...angles are equal to each other. PROPOSITION II. THEOREM. The angles which one straight line makes w'th another, upon one side of it, are either two right angles, or are together lo two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...been drawn from the point CQEF PROP. XIII. — THEOREM. 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. (References— Prop. i. 11; ax. 1, 2; def. 10.) Let the straight line AB make with CD, upon one side...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - Marine engines - 1862 - 200 pages
...may here be introduced with advantage. Book I. XIII. — 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. Departing from the precise language of absolute and complete proof (for obvious reasons), we may say...
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