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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
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...right side of the figure. - Ie the double angle on the left side of the figure. PROP. XIV. THEOREM. If at a point in a straight line, two other straight lines, upon opposite sides of it, make the adjacent angles together equal to two right angles, then these...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...therefore the sum of all the angles at the point B is equal to four right angles. THEOREM III. 47i If at a point in a straight line two other straight lines upon opposite sides of it .make the sum of tfie adjacent angles equal to two right angles, these two...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1494 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...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...axiom. Give the three postulates. 2. If at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together...lines shall be in one and the same straight line. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...If, at a point in a straight line, two other straight lines upon opposite sides of it make the two adjacent angles together equal to two right angles, these two straight lines must be in one and the same straight line. After proving this, define every geometrical figure you...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...trapezvum. What is the hypothesis, and what is the conclusion in the enunciation of the 5th proposition 1 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...+ABE=R+ABE, and ABD = EBD ~ABE=R- ABE. .-. (Ax. 2) ABC+ABD = 2R. 5 BD E 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. 28 two right angles ; then...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...lines, parallelogram, angle in segment of a circle, rectilinear figure described about a circle. 2. If at a point in a straight line two other straight lines on the opposite sides of it m;ike the adjacent angles together equal to two right angles, these two straight...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...DBA, ABC = Z. s CBE, EBD = two rt. L s. Wherefore the angles, &c. — QED PROPOSITION XIV., THEOREM 7. 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 two right angles, these two straight...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...and the angles contained by those sides also equal, the two triangles are equal in every respect. 4. 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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