 | Mathematics - 1836 - 488 pages
...lines 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.... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, thenbases, or third sides, shall be equal... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to...sides of the other, each to each, and have likewise the angles contained by those sides equal to one another ; their bases shall be equal, and their areas... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...to BC ; and therefore also BC is greater than EF. Therefore, if two triangles, &c. PROP. XXV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but their bases unequal ; the angle contained by the sides of that which has the greater base, is greater... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...with one instance of the equality of triangles ; what is it ? P. — Two triangles are equal when they 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. M. — Now, I think, from what you have before remarked... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...much more Z EFG > EGF, 5. that .'. EG or BC > EF. PROPOSITION XXV. (Argument ad absurdum). Theorem. 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... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
