| 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,... | |
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