If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. Mathematics, mechanics, heat - Page 21by American School (Chicago, Ill.) - 1903Full view - About this book
| Robert Mudie - Mathematics - 1836 - 542 pages
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and **if two triangles have two sides and the included angle of the one equal** to two sides and the included angle of the other — it being understood that it is not the sum of... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...angle included between them, are given, there are sufficient data for constructing the triangle ; and **if two triangles have two sides and the included angle of the one equal** to two sides and the included angle of the other — it being understood that it is not the sum of... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. ' **If two triangles have two sides and the included angle of the one, equal** to two sides and the included angle of the other, each to each, the two triangles will be equal. Let... | |
| Eugenius Nulty - Geometry - 1836 - 242 pages
...conditions which determine such equality are comprised in the four following theorems. THEOREM VI. 38. **If two triangles have two sides, and the included angle of the one** respectively equal to two sides and the included angle of the other, the remaining sides and angles... | |
| Samuel Simon Schmucker - Psychology - 1842 - 262 pages
...the nature, eg, of the demonstration of the theorem of Euclid known as Prop. IV. of Book I., viz. : **If two triangles have two sides, and the included angle of the one equal** to two sides and the included angle of the other, they must be identical or equal in all respects.... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...are equal. Draw the chords AB, DE ; then since radii are all equal (Def. 4), the triangles ACB, DCE, **have two sides and the included angle of the one,...equal respectively to two sides and the included angle** of the other, hence they are equal ; so that if ACB be applied to DCE, there will be an exact coincidence... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF. FCA. PROPOSITION V. THEOREM. **If two triangles have two sides and the included angle of the one, equal** to two sides and the included angle of the other, each tc each, the two triangles will be equal Let... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...formed at the point of intersection, are together equal to four right angles. PROPOSITION VI. THEOREM. **If two triangles have two sides, and the included angle of the one, equal** to two sides and the included angle of the other, each to each, the two triangles will be equal, their... | |
| Charles Davies - Geometry - 1850 - 236 pages
...(Ax. 3). In the same manner we may prove that the angle AED is equal to the angle CEB. \ THEOREM IV. **If two triangles have two sides and the included angle of the one, equal** to two sides and the included angle of the other, each to each, the two triangles will be equal. Let... | |
| Charles Davies - Geometry - 1850 - 218 pages
...(Ax. 3). In the same manner we may prove that the angle AED is equal to the angle CEB. THEOREM IV. **If two triangles have two sides and the included angle of the one, equal** to two sides and the included angle of the other, each to each, the two triangles will be equal. Let... | |
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