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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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 15
by Euclid, James Thomson - 1845 - 352 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 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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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...to two right angles. THEOR. 3. If the adjacent angles made by one straight line with two others are together equal to two right angles, these two straight lines are in one straight line, THEOR. 4. If two straight lines cut one another, the vertically opposite angles are...
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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...
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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...
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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...
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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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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...might be enunciated thus : Hypothesis, 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, 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 lines upon the opposite sides of it make the adjacent angles togetlier equal to two right angles, these two...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...two right angles. QED THEOREM 3. If the adjacent angles made by one straight line with two others are together equal to two right angles, these two straight lines are in one straight line*. Part. En. Let the adjacent angles DBA, DBC made by BD with the two straight lines BA,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...bisect the angles DBC, ABD. Show that FBE is a right angle. PROPOSITION XIV. THEOREM. If at a feint in a straight line, two other straight lines, on the...equal to two right angles ; these two straight lines shall be in one and the same straight line. At the pt. B in the st. line AB, let the two st. lines...
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