| John Keill - 1723 - عدد الصفحات: 364
...BAC is neceflarily greater than the Angle EDF. If, therefore, two Triangles have two Sides of the one **equal to two Sides of the other, each to each, and the** Bafe of the one greater than the Bafe of the other ; they jh all alfo have the Angles, contain1d under... | |
| Euclid, John Keill - 1733 - عدد الصفحات: 393
...which was to be demonftrated. PROPOSITION XXV. THEOR EM. If two Triangles have two Sides of the one **equal to two Sides of the other, each to each, and the** Bafe of the one greater than the Bafe of the other j they Jball alfo have the Angles^ contained under... | |
| Charles Butler - 1814
...is affirmed or denied of the subject : thus, in prop. 4. tu-o triangles having two sides of the one **equal to two sides of the other, each to each, and the included angles equal,** is the subject ; and that such triangles tcill have their bases equal, their other tingles equal, and... | |
| Walter Henry Burton - 1828 - عدد الصفحات: 68
...fundamental one, we will prove it. Suppose two triangles, of whatever form, to have two sides of the one **equal to two sides .of the other, each to each; and the** angle contained between those two sides in the one triangle to be equal to that which is contained... | |
| John Playfair - 1829 - عدد الصفحات: 186
...part AE has been cut off equal to C, the less. Which was to be done. PROPOSITION IV. THEOREM. IF two **triangles have two sides of one triangle equal to two sides of the other, each to each; and** have also the angles contained by those aides equal to each other; their third sides will be equal;... | |
| James Hayward - 1829 - عدد الصفحات: 172
...equal in all their parts. And we say universally, — When two triangles have two sides of the one **equal to two sides of the other, each to each, and the** angle contained by these two sides of the one, equal to the angle contained by the two sides of the... | |
| Pierce Morton - 1830 - عدد الصفحات: 272
...meets the base В С in D (Post. 4). Then, because the triangles ADB, ADC have two sides of the one **equal to two sides of the other, each to each, and the** interjacent angles BAD, CAD equal to one another, their other angles are equal, each to each (4.) ;... | |
| Francis Joseph GRUND - 1830 - عدد الصفحات: 12
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them also equal to one another, what relation will these two triangles... | |
| Francis Joseph Grund - 1834 - عدد الصفحات: 190
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them are also equal to one another, the two triangles are equal in all... | |
| 1835
...equal to the angle А О С (III. 12.) ; and, because the triangles SOB, SOC have two sides of the one **equal to two sides of the other, each to each, and the** angles SOB, S О С which are included by those sides equal to one another (I. 4.), the base SB is... | |
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