 | Euclides - 1845 - 546 sider
...the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BC A equal to the angles DEF, EFD, each to each, namely ABC to DEF, and BCA to EFD ; also... | |
 | Euclides, James Thomson - 1845 - 382 sider
...(3) their other angles are equal, each to each, viz. those to which the equal sides are opposite. § Let ABC, DEF be two triangles which have the two sides AB, sition and in the scholium, will be effected simply by means of the compasses, as was pointed out in... | |
 | Euclid, John Playfair - 1846 - 334 sider
...point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. PROP. XXIV. THEOR. If two triangles have two sides...angle shall be greater than the base of the other. DF; but the angle BAC greater than the angle EDF ; the base BC is also greater than the base EF. Of... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...contained by the two sides of one of them, greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater...angle shall be greater than the base of the other. Of the sides DE, DF, let DE > DF, at D in the str. line DE, i L EDO = L BAC, make DG = AC or DF ; join... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...contained by the two sides of one of them, greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater...angle shall be greater than the base of the other. Of the sides DE, DF, let DE > DF, at D in the str. line DE, make \ DG=ACorDF; Props, (ZEDG=ZBAC, Prop.ss.... | |
 | Euclides - 1846 - 292 sider
...shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, ACB, equal to the angles DEF, DFE, each to each, viz. ABC to DEF, and ACB to DFE, and have... | |
 | Euclides - 1847 - 128 sider
...contained by the two sides of one of them greater than the angle contained by the two sides, equal to them, of the other, the base of that which has the greater...angle shall be greater than the base of the other. PART. ENUN. — Let ABC, DEF be two triangles, which have the two sides AB, AC = to the two sides DE,... | |
 | Thomas Gaskin - 1847 - 301 sider
...contained by two sides of one of them greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. 2. Define duplicate ratio, and prove that similar triangles have to one another the duplicate ratio... | |
 | Great Britain. Council on Education - 1848 - 596 sider
...contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other ; the base of that which has the greater...angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than tbe... | |
 | Euclides - 1848 - 52 sider
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater...angle, shall be greater than the base of the other. PROP. XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each... | |
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IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... 
