| Schoolmaster - 1836
...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 - Geometry - 1837 - 318 pages
...another, and likewise those which are terminated in the other extremity equal to one another. PROP. VIII. **THEOR. -, If two triangles have two sides of the one...sides of the other, each to each, and have likewise** their bases equal ; the angle which is contained by the two sides of the one shall be equal to the... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...straight line AB, the angle A is made equal to the given angle C : which was to be done, f PROP. XXIV. **THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each,** but the angles contained by those sides unequal : the base of that which has the greater angle is greater... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...one triangle is upon a side of the other, needs no demonstration. PROPOSITION VIII. THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each, and have likewise** their bases equal, the angle which is contained by the two sides of the one shall be equal to the angle... | |
| Charles Reiner - Geometry - 1837 - 215 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... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...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... | |
| Charles Reiner - Geometry - 1837 - 215 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 - 135 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... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 pages
...equal to one another, and likewise those which are terminated in the other extremity. QED PROP. VIII. **THEOR. IF two triangles have two sides of the one...sides of the other, each to each, and have likewise** their bases equal; the angle which is contained by the two sides of the one shall be equal to the angle... | |
| Euclides - 1838
...sufficiently long for this. It must of course be produced. PROP. XXIV. THEOR. If two triangles haee **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 ky the two... | |
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