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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 18
by Euclides - 1837 - 88 pages
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 pages
...one side of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...are together equal to two right angles. Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION HI. THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...SECTION I.—1. If at a point in a 'given straight line, two other straight lines on the opposite side of it make the adjacent angles together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment...
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The popular educator, Volumes 1-2; Volume 5

Popular educator - 1852 - 842 pages
...<.••»<//'•» on op/write tidet of it, or the two angles on the tame tick, of it. either two right angles, or together equal to two right angles, these two straight lines shall be either in' the same ttraight line, or shall coincide with each other. It will be a useful exercise...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...together equal to two right angles. Wherefore, the angles which one straight line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines, on the opposite sides of it, make with it the adjacent angles together equal to two right angles: then...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together equal to two right angles. Wherefore, when a straight line, etc. QED PROPOSITION XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite side of it, make the adjacent angles together equal to two right angles, these two...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these ttOo straight lines are in one and the same straight line. At the point B in the straight line AB,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...angle and its supplement be bisected, the bisecting lines are perpendicular to each other. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the two adjacent angles together equal to two right angles, these...
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