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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 21
av John Playfair - 1847 - 317 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...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...angles, or are together equal to two right angles. PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior angle is greater than either...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...(per 8th ) PROP. 13, THEOR. WTten a right line standing upon another makes angles with it, they are either two right angles or are together equal to two right angles, If the right line standing on the other be perpendicular to it, the angles are both right ; if not,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...are either two right angles, orare together equal to two right angles. angles СВЛ, 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 i« a right (Def. 10.) angle ; but; if not',' from...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...is called a perpendicular to it. •D OF GEOMETRY. with another CD, upon one side of it, are eitlier two right angles, or are, together, equal to two right angles. For, if AB be perpendicular to CD, then each of the angles ABC, ABD, is a right angle ; and, therefore, are,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...dbne. PROP. 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...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 angle...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...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...angles CBA, ABD ; these are either two right angles, of are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...PROPOSITION XIII. THEOREM. The two angles which one straight line makes with another, on one side of it, are together equal to two right angles* Let the straight line AB make with CD, on one side of CD, the angles ABC, ABD; these are together equal to two right angles. r D B £T B G...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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...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 angle...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...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...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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