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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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...has all its sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on the opposite sides of it make the adjacent angles together equal to two rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. THEOREM (Converse of Prop. II.). 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 Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...equal. PROPOSITION Xrv. THEOREM. If, at a point in a straight line, two other straight lines, upon tlie 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. Given that at the point B in the straight line AB, the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. 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 ; then these...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...one another, and likewise ^ those which are terminated in the other extremity. (Second case only.) 3. If at a point in a straight line, two other straight lines upon the opposite sides of it make the adjacent angles together .jequal to two right angles, these...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 254 pages
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me opposite sides of it, make the adjacent angles together...straight lines are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD is not in the same straight line with...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...angles, (ax. 1.) 7. 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; 8. Therefore KH is in the same straight line with HM. (I. 14.) 9. And because the straight line HG...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...therefore the angles DBA, ABC, are together equal to two right angles, (ax. 1.) PROP. 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, then these...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 3. 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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