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" BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. "
Elements of Geometry and Conic Sections - Page 18
by Elias Loomis - 1857 - 226 pages
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. If two sides of a triangle be produced, the lines which bisect the two exterior angles and the third...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...adjacent to the equal angles, or sides opposite to equal angles, in each : then shall the other sides be equal, each to each ; and the third angle of the one shall be equal to the third angle of the other. 4. If a straight line fall on two parallel straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely, the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BA C...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...two angles BCD, CBD, each to each, and one side BC is common ; therefore their other sides shall also be equal, each to each, and the third angle of the one to the third angle of the other, viz., the side AB to the side CD, and AC to BD, and the angle BAC equal to BDC : and because the angle...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...angles in each, or sides opposite to them ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. (6) The straight lines which join the extremities of equal and parallel straight lines towards tJie...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...the included angles are unequal, the angle of that which has the greater base being greater than the angle of the other. Let ABC, DEF be two triangles having the side AB equal to the side DE, and the side AC equal to the side DF, but the base BC greater than the...
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The elements of plane geometry, Volume 1

Mathematical association - 1884
...the included angles are unequal, the angle of that which has the greater base being greater than the angle of the other. Let ABC, DEF be two triangles having the side AB equal to the side DE, and the side AC equal to the side UF, but the base BC greater than the...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...sides adjacent to the equal angles in each; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. 4. If in a circle two straight lines cut one another, which do not both pass through the centre, they...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...are opposite to equal angles in each ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. ABCD is a rectangle, and AE, BF are drawn to meet the diagonals BD, AC in E and F respectively, and...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1895 - 450 pages
...triangles, etc. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of thi one equal to two angles and the included side of the...and the third angle of the one to the third angle cf the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F,...
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