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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. "
An Elementary Geometry and Trigonometry - Page 5
by William Frothingham Bradbury - 1873 - 238 pages
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 132 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...line. Let the straight line DB meet the two lines, AB, BC, so as to make , ABD + DBC = two right angles: / then AB and B 0 form a straight _ /. ..................
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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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 lines upon the opposite sides of it, make the adjacent angles together equal to two right angles, then these two...
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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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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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, then these two...
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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, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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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, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two 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...right angles, these two lines form a straight line. For if AB and BC do not form a straight line, draw BE so that AB and BE shall form a straight line...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...conclusion of the 3d is tho hypothesis in the 2d. Proposition 2d may be enunciated thus : Hypothesis, if, at a point in a straight line, two other straight lines upon opposite sides form but one straight line, then. Conclusion, the two adjacent angles are together equal to two right...
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