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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 26
by Euclides - 1871
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1873 - 288 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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 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...equal to two right angles, these two straight lines shall be in one and the same straight line. G'ABC+ ^ tlle P0"1t B in the straight line AB, let the...
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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...equal 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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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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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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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...equal to two right angles, these two straight lines shall be in one and the same straight line. civcn At the point B in the straight line AB, let the 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...equal to two right angles, these two straight lines shall be in one and the same straight line. 2. If two triangles have two angles of the one equal to...
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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, 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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