 ACB, DB is equal to AC, and BC common to both ; the two sides DB, BC, are equal to the two AC, CB, each to each, and the angle DBC is equal to the angle ACB : therefore, the base DC is equal to the base AB, and the triangle DBC (Mr. Southey) is equal...  The First Six Books of the Elements of Euclid: And Propositions I-XXI of ... - Page 22by Euclid, John Casey - 1885 - 312 pagesFull view - About this book
 | George Gordon Byron Baron Byron - 1837 - 336 pages
...the angle ACB : therefore, the base DC is equal to the base AB, and the triangle DBC (Mr. Southey) is equal to the triangle ACB, the less to the greater, which is absurd," &c. — The editor of the Edinburgh Register will find the rest of the theorem hard by his stabling... | |
 | George Gordon N. Byron (6th baron.) - 1837 - 982 pages
...nnglc AC B: therefore, the bane DC is equal to the base AB, and the triangle [i В С (Mr. Southey) U equal to the triangle ACB, the less to the greater* which is absurd," etc. — The editor of the Edinburgh Hegistcr will find (be rest of the theorem bard by his stnbling... | |
 | Euclides - 1838 - 264 pages
...and the angle DBC is equal to theanglet ACB; *Hrp- therefore the base DC is equal to the base AB, and the triangle DBC is equal to the triangle* ACB, the less to the ' ' greater, which is absurd. Therefore AB is not unequal to AC, that is, it is equal L toil. Wherefore, if two angles, &c. QED •"... | |
 | Euclides - Geometry - 1841 - 378 pages
...each; and the angle DBC is equal to the angle ACB; therefore the base DC is equal to the base AB, and the triangle DBC is equal* to the triangle ACB, the less to the greater, which is absurd. Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles, &c. QED COR.—Hence... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...equal to the angle ACB ; therefore, the base DC of the oue is equal to the base AB of the other, and the triangle DBC is equal to the triangle ACB, the less to the greater, which is absurd. Therefore, AB is not unequal to AC ; that is, it is equal to it. The corollary or inference drawn from... | |
 | Euclides - 1842 - 316 pages
...angle ACB; therefore the base uc is equal to the base AB, and the triangle в DBC is equal (4. 1.) to the triangle ACB, the less to the greater; which is absurd. Therefore A в is not unequal to AC, that is, it is equal to it. Wherefore, if two angles, &c. QED... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...AC, CB, each to each; and (hyp.) the angle DBC is equal to the angle ACB ; therefore (I. 4, part 2) the triangle DBC is equal to the triangle ACB, the less to the greater ; which is absurd. Therefore AB is not un- E equal to AC, that is, it is equal to it. Wherefore, if two angles, &c. Cor.... | |
 | Euclid - Geometry - 1845 - 218 pages
...angle DBC is equal to the angleJ ACB ; there- ° * t Hyp. fore the base DC is equal to the base AB, and the triangle DBC is equal to the triangle || ACB, the less to the II 4. i. greater ; which is absurd. Therefore AB is not unequal to AC, that is, it is equal to it.... | |
 | Euclides - 1846 - 292 pages
...DBC is equal to the angle ACB (Hyp.) — therefore the base DC is equal to the base AB (1. 4), and the triangle DBC is equal to the triangle ACB, the less to the greater — which is absurd: Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, If two angles %c. QED COR.... | |
 | Euclides - 1853 - 146 pages
...DBC is equal (Hyp.) to the angle ACB; therefore, (I. 4.) 2. The base DC is equal to the base AB, and the triangle DBC is equal to the triangle ACB, the less to the greater ; which is absurd. Therefore 3. AB is not unequal to AC; that is, it is equal to it. Wherefore, if two angles, &c. QED... | |
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