| Mathematical association - 1883
...[Alternative proofs, (i) by Theors. 16 and 5. (ii) By Theors. 7 and 5.] THEOR. 19. If two triangles have **two angles of the one equal to two angles of the other,** each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles... | |
| 1883
...coincide with the vertex of the given angle and then the construction would fail. 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, viz., either the sides adjacent to the equal angles in... | |
| Woolwich roy. military acad - 1884
...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,... | |
| Association for the improvement of geometrical teaching - 1884
...that AB is equal to AC, and AD to AE : shew that BE is equal to CD. THEOR. 6. If two triangles have **two angles of the one equal to two angles of the other,** each to each, and have likewise the sides between the vertices of these angles equal, then the triangles... | |
| Palaestra Oxoniensis - 1884
...given straight lines, of which any two are together greater than the third. (5) If two triangles have **two angles of the one equal to two angles of the other,** each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles... | |
| Euclides - 1884
...1-26, Book I, are now published in a similar form to this. PROPOSITION XXVI. 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... | |
| Euclides - 1884
...it would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have **two angles of the one equal to two angles of the other,** each to each or together, their third angles are also equal. The corollaries to this proposition are... | |
| Mathematical association - 1884
...straight line joining their vertices bisects the vertical angles. THEOR. 19. If two triangles have **two angles of the one equal to two angles of the other,** each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles... | |
| Evan Wilhelm Evans - 1884 - 155 sider
...A and B by AF and BF, and the angles a and b by of 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 = AB 2 : a& 2 (Theo. XIV). Multiplying first couplet... | |
| Euclides - 1884
...equality of triangles ; the first of which may be separately enunciated thus : If two triangles have **two angles of the one equal to two angles of the other,** each to each, and also the sides adjacent to these angles equal ; they shall have all their other elements... | |
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