If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the... Elements of Arithmetic, Algebra, and Geometry - Page 127by George Lees - 1826Full view - About this book
| John Playfair - Euclid's Elements - 1806 - 311 pages
...XXV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, **but the base of the one greater than the base of the other, the angle contained by the** sides of that which has the greater base shall be greater than the angle contained by the sides of... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...XXV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, **but the base of the one greater than the base of the other ; the angle** also contained by the sides of that which has the greater base, shall be greater than the angle contained... | |
| William Nicholson - Natural history - 1809
...19.) The greater angle of every triangle has the greater side opposite to it. S. (Prop. 4.) If two **triangles have two sides of the one respectively equal to two sides of the other,** and have the included angles equal, the oilier angles will be respectively equal, ««. those to which... | |
| John Dougall - 1810 - 580 pages
...remaining side AC to the remaining side DF. 1st Corollary. From this proposition it follows that, if two **triangles have two sides of the one respectively equal to two sides of the other, but the** angle formed by these two sides in the one greater than the corresponding angle in the other, the base... | |
| Euclides - 1816 - 528 pages
...XXV. THEOR. IF two triangles have two sides of the one equal to two. sides of the other, each to each, **but the base of the one greater than the base of the other** ; th« angle also contained by the sides of that which has the greater base, shall be greater than... | |
| John Playfair - 1819 - 317 pages
...XXV. THEOR. If two triangles Imve two sides of the one equal to two sides of the other, each to each, **but the base of the one greater than the base of the other ; 'the angle contained by the** sides of that which has the greater base, shall be greater than the angle contained by the sides of... | |
| Euclides - 1821
...greater, is hilly explained in the notes of Dr. Elrington's Euclid, page, 150. PROP. 25. THEOR. ( If two **triangles have two sides of the one respectively equal to two sides of the other,** and if the third aids of the one be greater than the third side of the other, the angle opposite the... | |
| William Nicholson - Natural history - 1821
...19.) The greater angle of every triangle has the greater side opposite to it. 3. (Prop. 4.) If two **triangles have two sides of the one respectively equal to two sides of the other,** and have the included angles equal, the other angles will be respectively equal, viz. those to which... | |
| John Farrar - Logarithms - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they **have two sides of the one respectively equal to two sides of the other,** and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle... | |
| John Farrar - Electronic book - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they **have two sides of the one respectively equal to two sides of the other,** and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle... | |
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