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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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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...Spherical Triangles. ' PROP. 8. The angles which one spherical arc make* with another upon one fide of it are either two right angles, or are together equal to two right angles. See the Demonstration of Book I. Prop. 2. Cor. 1 . If two spherical arcs cut one another, the vertical...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...to be done. PROP. XIII. THEOR. The angles which one straight line makes with another upon one tide of 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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...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 two right...with CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For if the...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...Hliich 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...the straight line AB make with CD, upon one side of Book I. it, the angles CBA, ABD; these are either two right angles, v— -v*-' or are together equal...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...demonstrated. PROP. 2. (Eue. i. 13 & 14.) The adjacent angles, which on» straight line makes with another upon, one side of it, are either two right...angles, or are together equal to two right angles: and, conversely, if the adjacent angles, which one straight line makes with two others at the same...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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. E i. eS. 1. Let the straight line AB make with CD, upon one side of Book I. it, the angles CBA, ABD...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...triangular bases, and are equal to one another. 1832 14. 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. 1 5. Draw a straight line from a given point either without or in the circumference which shall touch...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...angle contained by the two sides of the other. XIII. 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. XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...perpendicular to AB (Def. 10). PROPOSITION Xm. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right...with CD, upon one side of it, the angles CBA, ABD ; these are either two right angles, or are together equal to AEA two right angles. For, if the angle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...done. PROP. XIII. THEOR. THE angles which one straight line makes with another upon the one side of it, are together equal to two right angles. Let the straight...with CD, upon one side of it, the angles CBA, ABD; these are together equal to two right angles. For, if the angle CBA be equal AKA to ABD, each of them...
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