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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 Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...the one side of it, are either two right angles, or are together equal to two right angles. Book I. 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...I.. Let the straight line AB make with CD, upon one side v-*"V-' of it, the angles CBA> ABD : these are either two right angles, or are together equal to two right angles. • * For if the angle CB A be equal to ABD, each of them is a % A ' E DB D B C 1 Def. 10. right4 angle;...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...straight line AB. Which ivas to be done. PROP. 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 are either two right angles, or are together equal to.two right angles. For, if the angle CBA...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...right angles. Let the straight line AB make witK 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 (Def. 7.) ; but, if not, from...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 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...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. PROP. XVI. THEOR. IF...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...former (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 - Mathematics - 1825 - 1046 pages
...it, 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 Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight line AB. Whieh was to be done, f PROP. XIII. THEOR. The angles whieh one straight line makes with another upon one side of it, are either two right angles, or are to^ gether equal tq two right angles. Let the straight line AB make with CD, upon one side of it the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...straight line AB. Which was to be dbne. PROP. 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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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...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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