 | United States. Congress. Senate - United States - 1880 - 1304 pages
...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
...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
...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
...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
...produced, pass through the centre. 2. Prove one case of the following proposition : — 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., either the sides adjacent to the equal angles in each, or sides which... | |
 | 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
...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
...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... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...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... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...to P, the angle ACB equal to Q, and AX the perpendicular from A to the base BC. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. XVI. 1. In the figure of... | |
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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. 
