 | Oxford univ, local exams - 1885 - 358 páginas
...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...each to each, and one side equal to one side; viz. the sides adjacent to the equal angles in each; then shall the other sides be equal, each to each,... | |
 | United States. Congress. Senate - 1880 - 1304 páginas
...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...other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are opposite to equal angles... | |
 | Lewis Carroll - 1885 - 318 páginas
...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 - 1888 - 264 páginas
...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 - 1889 - 356 páginas
...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...other, each to each, and one side equal to one side, namely, the sides opposite to the equal angles in each, the triangles shall be equal in all respects.... | |
 | William Ernest Johnson - 1889 - 574 páginas
...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 páginas
...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...other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles or sides which are opposite to equal angles in... | |
 | Euclid - 1890 - 442 páginas
...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 Albert Bowser - 1890 - 414 páginas
...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 - 1891 - 102 páginas
...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. either the sides adjacent to the equal... 
