 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...Proposition 25, deduce the truth of Proposition 24. *-• Proposition 26. Part II. 104. If two triangles have two angles of the one equal to two angles of the other each to each, and the side opposite to an equal angle of the one equal to the corresponding angle of the other, then... | |
 | Euclid - Geometry - 1892 - 460 pages
...acute, according as AB is greater or less than AC. PROPOSITION 26. THEOREM. If two triangles have trto angles of the one equal to two angles of the other, each to each, and a side of one equal to a side of the other, these sides being either adjacent to the equal angles,... | |
 | George Bruce Halsted - Geometry - 1896 - 208 pages
...opposite angles are supplemental. 403. Theorem. Two spherical triangles, of the same sense, having two angles of the one equal to two angles of the other, the sides opposite one pair of equal angles equal, and those opposite the other pair not supplemental,... | |
| |
If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. 
