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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.
Euclid - Page 31
by Euclid, Rupert Deakin - 1903 - 164 pages

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...

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

Joseph Wollman - 1879 - 120 pages
...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 shall be in one and the same straight line. In what propositions in the First Book is this proposition required ? 32. If two exterior angles of...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...angle. PROPOSITION XIV. THEOREM. If at a feint in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together...shall be in one and the same straight line. At the pt. B in the st. line AB, let the two st. lines BC, BD on the opposite sides of AB, make the adj. £_...

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

Isaac Sharpless - Geometry - 1879 - 282 pages
...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...on opposite sides of it, make the adjacent angles equal to two right angles, these two lines are in the same straight line. two right angles; then will...

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

Moffatt and Paige - 1879 - 426 pages
...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...

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

W J. Dickinson - Geometry - 1879 - 44 pages
...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 Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...quadrilateral form a parallelogram. 2. If, at a point in a straight linn, two other straight 10 lines on the opposite sides of it make the adjacent angles together...lines shall be in one and the same straight line. ABCD is a parallelogram whose diagonals meet in O. Show that if the parallelograms AOBP, DOCQbe completed,...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...F BC K. H And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HG meets the parallels...