| Mathematics - 1836 - 488 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. 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... | |
| Education - 1836 - 502 pages
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
| Schoolmaster - 1836 - 926 pages
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. PROP. IV. **THEOREM. 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 one another, their bases, or third sides,... | |
| Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...the greater of two straight lines, a part AE has been cut off equal to C, the less. PROPOSITION IV. **THEOREM. 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 one another, thenbases, or third sides,... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...rectilineal angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. **Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each,** but the angle contained by two sides of one of them greater than the angle contained by the two sides... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...to A 15. the line € might be produced, till it and the part added would be equal to AB. PROP. IV. **THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to each** ;t and have also the angles contained by those sides equal to one another : (!..) they have likewise... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : 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... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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... | |
| Edward Tagart - Logic - 1837 - 156 pages
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which **have two sides of the one equal to two sides of the** other, of which equality is demonstrated ia the fourth proposition : and let us remember that every... | |
| |