| Mathematics - 1866 - 426 pages
...Corollary just as I. 5 follows out of I. 4. Now the general proposition I. 4 is as follows: If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another, they also have their basis on third... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...in a given fine which shall beat the same perpendicular distance from two given lines. .'3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by ihe two sides of the one greater than the angle contained by the two sides... | |
| Euclides - 1855 - 270 pages
...line E (r cuts the straight line DF in some point between D and F. PR 0 P. XXV. THE 0 RE M. 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 two sides of... | |
| W F. Richards - Elementary school teaching - 1856 - 198 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz., those which are opposite to equal sides,... | |
| 1856 - 376 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz. those which are opposite to equal sides,... | |
| Euclides - 1856 - 168 pages
...greater than BAG. Much more then is the angle BDC greater than BAC. XXIII.— EUCLID I. 24. 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 the one greater than the angle contained by the two sides... | |
| Henry Latham - 1857 - 390 pages
...(Eontc Sections. 1. DEFINE a superficies, an angle, adjacent angles, parallel straight lines. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other, they shall be equal in every respect. Construct... | |
| 1857 - 408 pages
...one shall be equal to the angle contained by the two sides, equal to them, of the other. 2. 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... | |
| Euclid - Geometry - 1892 - 460 pages
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve 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 greater than the angle contained by the corresponding... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
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