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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. "
The Elements of Geometry, Symbolically Arranged - Page 21
by Great Britain. Admiralty - 1846
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...opposite sides of it, mate the adjacent angles together equal to two right angles ; then these too straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides ofAB, make the adjacent...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...the conclusion is a consequence of the supposition. Prop. 3 might be enunciated thus : Hypothesis, if, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then, Conclusion, these two straight lines are in one and the same straight line. Proposition 3d is...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...D, and the angle BAD be bisected by AF ; shew that EAF is a right angle. PROPOSITION XIV. THEOREM. If at a point in a straight line two other straight...the opposite sides of it make the adjacent angles togetlier equal to two right angles, these two straight lines shall be in one and the same straight...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...angles (Ax.1). And because at the point H, in the straight lino Gil, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KHM is a Therefore KH is in the same straight line with HM (I. 14). ttra.jrht ^n(j Because the straight...
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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, James Hamblin Smith - Geometry - 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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 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...one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB make the adjacent...
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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...shall be in one and the same straight line. At the pt. B in the st. line AB, let the two st. lines BC, BD on the opposite sides of AB, make the adj. _...
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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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