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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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Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 138 pages
...; therefore the sum of all the angles at the point B is equal to four right angles. THEOEEM II. 10i 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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 pages
...angles (Ax. 1). Therefore, the angles which one straight line, &c. QED Proposition 14. — Theorem. If, at a point in a straight line, two other straight...lines shall be in one and the same straight line. G'ABC+ ^ tlle P0"1t B in the straight line AB, let the two / ABD= straight lines BC, BD, upon the opposite...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...angles (Ax. 1). Wherefore, the angles which one straight line, &c. QED PROPOSITION 14. — Theorem. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight line. At the point B in the straight...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...produce CB to X, PROPOSITION X. If two straight lines, drawn from one extremity of a straight line on opposite sides of it, make the adjacent angles together...to two right angles, these two straight lines shall l>e in one and the same straight line. Let BC, BD drawn from B one extremity of AB make the adjacent...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...line. .'. z ABE = i ABD. Proposition 14. — Theorem. If, at a point in a straight line, two ot/ier straight lines, upon the opposite sides of it, make the adjacent angles toget/ier equal to two right angles, these two straight lines shall be in one and the same straight...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...lines BG and BH show that the angle GBH will in each case be a right angle. 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 twi rigid angles, these two...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...children of Henry L 3. How was the Great Charter obtained ? Mention some of its provisions. EUCLID. — 1. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...angles (Ax. 1). Therefore, the angles which one straight line, <tc. QED Proposition 14. — Theorem. If, at a, point in a straight line, two other straight...lines shall be in one and the same straight line. civcn At the point B in the straight line AB, let the two i ABD= straight lines BC, BD, upon tho ansiS?"...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...trapezium. What is the hypothesis, and what is the conclusion in the enunciation of the 5th proposition ? 2. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight line. of the other, the base of...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight Unes, upon flu', opposite sides of it, make the adjacent angles together...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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