If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. Calendar - Page 244by University of Allahabad - 1919Full view - About this book
| Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...angles A and B by AF and BF, and the angles a and 6 by af and bf. Now, since the triangles ABF, abf, **have two angles of the one equal to two angles of the other,** they are similar (Cor., Theo. IX) ; hence, ABF : abf= AB2 : o&2 (Theo. XIV). Multiplying first couplet... | |
| Stewart W. and co - 1884 - 272 pages
...to it ; therefore the angle BAC is greater than EDF. XXVI. — If two triangles have two angles of **one equal to two angles of the other, each to each ; and** one side equal to one side, viz., either the sides adjacent to the equal angles, or the sides opposite... | |
| United States. Congress. Senate - United States - 1880 - 1304 pages
...triangle be described on the other side of the given what figure will the two triangles forra f 2. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are... | |
| Oxford univ, local exams - 1885 - 358 pages
...Euclid's definitions of four sided figures, and the four definitions concerning segments of circles. 2. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** one side equal to one side; viz. the sides adjacent to the equal angles in each; then shall the other... | |
| Lewis Carroll - Geometry - 1885 - 318 pages
...will be equal in all respects.' This contains a superfluous datum : it would have been enough to say ' **if two Triangles have two angles of the one equal to two angles of the other** &c.' Nie. Well, it is at worst a superfluity : the enunciation is really identical with Euclid's. Min.... | |
| George Albert Wentworth - Geometry - 1888 - 264 pages
...triangle is subtracted from two right angles, the remainder is equal to the third angle. 140. COR. 2. **If two triangles have two angles of the one equal to two angles of the other,** the third angles are equal. 142. COR. 4. In a triangle there can be but one rigid angle, or one obtuse... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...equal to one another. What other converse proposition may be obtained from Proposition V., Book I. ? 3. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** one side equal to one side, namely, the sides opposite to the equal angles in each, the triangles shall... | |
| William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...draw IX, IT, IZ perpendiculars on the sides. Then, the triangles BXI, BZ1 having a common side BI and **two angles of the one equal to two angles of the other,** are equal in all respects, so that IX=IZ. Similarly IX=IY, :.IY=IZ. Therefore, the triangles AZI, A... | |
| Euclid - Geometry - 1890 - 442 pages
...necessitates that BC < EF. AA It remains .'. that A > D. Proposition 26. (First Part.) THEOREM — **If two triangles have two angles of the one equal to two angles of the other, each to each, and** have likewise the two sides adjacent to these angles equal ; then the triangles are identically equal,... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the obverse of Prop. 8. From what Proposition is it an immediate inference ? PROPOSITION 26. THEOREM. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** one side equal to one side, namely, either the sides adjacent to the equal angles or sides which are... | |
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