 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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...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.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ; the base of that which has the greater...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... | |
 | Euclides - 1846 - 292 pages
...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... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...each to each, but the angle 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...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... | |
 | Euclides - 1847 - 128 pages
...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...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,... | |
 | Euclides - 1848 - 52 pages
...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...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... | |
 | Great Britain. Council on Education - Education - 1848
...each to each, but the angle 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...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... | |
 | Great Britain. Committee on Education - Education - 1848 - 598 pages
...each to each, but the angle 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...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 the... | |
 | J. Goodall, W. Hammond - 1848 - 388 pages
...each to each, but the angle 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...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 the... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD; also one side equal... | |
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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... 
