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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. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 51
των T S. Taylor - 1880
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Elements of geometry, based on Euclid, books i-iii

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...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...

Elements of geometry, based on Euclid, book i

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...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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Elias Loomis - 1877 - 458 σελίδες
...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...

Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 σελίδες
...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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Euclides - 1879 - 146 σελίδες
...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...adjacent angles together 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...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 σελίδες
...point draw a straight line which shall make equal angles with two straight lines given in position. 31. If at a point in a straight line two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...of the bisections of the interior and exterior angles at the base are in the same straight line. 14. If at a point in a straight line two other straight lines, upon the opposite side of it, make the adjacent angles together equal to two right angles ; then these...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...ABE-R+ABE, and ABD = EBD -ABE=R- ABE. .•. (Ax. 2)ABC+ABD = 2R g BD Proposition 16. Theorem.—If at a point in a straight line, two other straight lines on opposite sides of it, make the adjacent angles equal to two right angles, these two lines are in the...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

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...two right angles. Therefore, the angles which one straight line, etc. QED 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 together equal to two right angles, these two...

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 σελίδες
...superficies, a square, a parallelogram. What is Euclid's axiom about lines which will meet when produced ? 2. If at a point in a straight line two other straight...adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. 3. If there be two straight lines,...




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