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" 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 straight lines shall be in one... "
Elements of Geometry, Conic Sections, and Plane Trigonometry - Page 20
by Elias Loomis - 1877 - 443 pages
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...therefore the sum of all the angles at the point B is equal to four right angles. THEOREM III. 471 7f at a point in a straight line two other straight line.s upon opposite sides of it make the sum of the adjacent angles equal to two right angles, these two lines...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...SUPPLEMENT of the other. Thus, in both figures, / ABD is the supplement of L ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight...the opposite sides of it, make the adjacent angles togetlwr equal to two right angles, these two straight lines must be in one and the same straight line....
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...two right angles. QED THEOREM 3. If the adjacent angles made by one straight line with two others are together equal to two right angles, these two straight lines are in one straight line*. Part. En. Let the adjacent angles DBA, DBC made by BD with the two straight lines BA,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...two right angles. Therefore, the angles which one straight line, etc. QED Proposition XIV. Theorem. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...right angle. PROPOSITION XIV. THEOREM. If at a feint in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles...equal to two right angles ; these two straight lines shall be in one and the same straight line. At the pt. B in the st. line AB, let the two st. lines...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...of the bisections of the interior and exterior angles at the base are in the same straight line. 14. 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 ; then these two straight lines...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...COMPLEMENT of the other. Thus, in fig. 2, L ABD is the complement of / ABE. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon tht opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...point draw a straight line which shall make equal angles with two straight lines given in position. 31. If at a point in a straight line two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...quadrilateral form a parallelogram. 2. If, at a point in a straight linn, two other straight 10 lines on the opposite sides of it make the adjacent angles...equal to two right angles, these two straight lines shall be in one and the same straight line. ABCD is a parallelogram whose diagonals meet in O. Show...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...T> F BC K. H And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HG meets the parallels...
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