| 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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