| Schoolmaster - 1836 - 926 pàgines
...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.... | |
| 1836 - 502 pàgines
...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.... | |
| Euclid, James Thomson - 1837 - 410 pàgines
...equal to AD ; wherefore the straight line AE is equal (I. ax 1.) to C, and from AB, the greater of two straight lines, a part AE has been cut off equal to C the less : which was to be done. * A straight line may be drawn from the point A, to either extremity of BC, and on either of the lines... | |
| Euclides - 1837 - 112 pàgines
...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... | |
| Charles Reiner - 1837 - 246 pàgines
...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 - 1837 - 254 pàgines
...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... | |
| John Playfair - 1837 - 332 pàgines
...them equal to AD ; wherefore the straight line AE is equal to (1. Ax.) C, and 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... | |
| Andrew Bell - 1837 - 290 pàgines
...them equal to AD ; wherefore the straight line AE is equal to C (Ax. 1), and from AB, 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,... | |
| Edward Tagart - 1837 - 156 pàgines
...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... | |
| Euclides - 1838 - 264 pàgines
...and C are each of them equaltoAD-.whereforethestraightlineAEisequalto* C; and from AB the greater of two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. // two triangles haee two sides of the one epnal to two sirfcs of the other, each... | |
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