| Evan Wilhelm Evans - 1884 - 155 sider
...these two angles are equal. But the angle A is common to the two triangles BAD and BAC. Hence, these **triangles have two angles of the one equal to two angles of the other,** and are consequently similar (Cor., Theo. IX). Therefore, Cor.—If from a point without a circle a... | |
| Evan Wilhelm Evans - 1884 - 155 sider
...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... | |
| Oxford univ, local exams - 1885
...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;... | |
| Lewis Carroll - 1885 - 275 sider
...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.... | |
| United States. Congress. Senate - 1880
...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,... | |
| George Albert Wentworth - 1888 - 386 sider
...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 angle.... | |
| E. J. Brooksmith - 1889
...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,... | |
| William Ernest Johnson - 1889 - 504 sider
...adjacent angle of the other, are equal in all respects. (2) Two triangles, which are equal in area and **have two angles of the one equal to two angles of the other,** each to each, are equal in all respects. (3) Two triangles, which are equal in area and have a side... | |
| Edward Albert Bowser - 1890 - 393 sider
...their sum, the third angle can be found by subtracting this sum from two right angles, 100. COR. 3. **If two triangles have two angles of the one equal to two angles of the other, the third** angles are equal. 101. COR. 4. A triangle can have but one right angle, or but one obtuse angle. 102.... | |
| Euclid - 1890 - 400 sider
...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... | |
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