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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ABC are together equal to two right angles. Wherefore, the angles &c. QEP PROPOSITION 14. THEOREM. If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight...it, make the adjacent angles together equal to two rig/it angles ; then these two straight lines shall be in one and the same straight line. At the point...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...Recap. PROP. 14.— THEOB. If at a point in a st. line, two other lines, upon ike opposite sides oj it, make the adjacent angles together equal to two right angles, these two lines shall be in one and the same Line. CONS. — Pst. 2. A straight line may be produced to any length...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...each is called the SUPPLEMENT of the other. Thus, in both figures, L ABD is the supplement of / ABC. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines must be in one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...AEC is equal to the angle BED. PROPOSITION 13. If at a point in a straight line two straight lines on opposite sides of it make the adjacent angles together equal to two right angles, or make the vertically opposite angles equal to one another, these two straight lines shall be in one...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...equal to that of ihe two adjacent angles BAD, DAF B~ PROPOSITION in. THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...SUPPLEMENT of the other. Thus, in both figures, / ABD is the supplement of / ABC. PROPOSITION XIV. THEOREM. If, at a. point in a straight line, two other straight...equal to two right angles, these two straight lines must be $n_ one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...; therefore the sum of all the angles at the point B is equal to four right angles. THEOREM II. 10. If at a point in a straight line two other straight lines iipon opposite sides of it make the sum, of the adjacent angles equal to two right angles, these two...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...; but CBE, EBD, two right angles ; therefore DBA, ABC, are toei equal to two right angles. XlV. — If, at a point in a straight line, two other straight...these two straight lines shall be in one and the same straigJit line. At the point B in the straight line A AB, let the two straight lines BC, BD, / upon...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1873 - 292 pages
...therefore the sum of all the angles at the point B is equal to four right angles. THEOREM II. 10 If at a point in a straight line two other straight lines upon opposite sides of it make the sum of the adjacent angles equal to two right angles, these two lines...
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