 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 ... - Seite 22von Euclid, John Casey - 1885 - 312 SeitenVollansicht - Über dieses Buch
 | Peter Nicholson - 1823 - 210 Seiten
...hypothesis, equal to the angle ACB, and the two sides DB, BC, are equal to the two sides AC, CB ; therefore the triangle DBC is equal to the triangle ACB, the less to the greater, which is impossible (ax. 9, p. 15) ; therefore AB cannot be unequal to AC, but must be equal to it. . THEOREM... | |
 | Euclides - 1826 - 226 Seiten
...angle ACB (by hypoth.). Whence the base DC is equal b to b 4. i. to the base AB, and the triangle DEC equal to the triangle ACB, the less to the greater, which is absurd. Therefore the sides AB, AC, are not unequal. Whence they are equal. Wherefore if two angles of a triangle... | |
 | Euclid - 1826 - 234 Seiten
...angle ACB (by hypoth.). Whence tbe bjasevocvia «qu£j\to b 4. i. to thaLb^se Aa^aod the triangle DBC equal to the triangle ACB, the less to the greater, which is absurd. Therefore the sides AB, AC, are not unequal. Whence they are equal. Wherefore if two angles of a triangle... | |
 | Robert Simson - 1827 - 546 Seiten
...the angle DBC is equal to the anglef ACB; t Hyp. 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.... | |
 | George Gordon Byron Baron Byron - 1831 - 498 Seiten
...Thebanae conditor arete, fore, 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 Byron Baron Byron, Thomas Moore - 1832 - 384 Seiten
...to 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 Byron Baron Byron, Thomas Moore - 1832 - 394 Seiten
...to 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;... | |
 | Thomas Perronet Thompson - 1833 - 168 Seiten
...respectively. And the angle DEC is* equal to the t 1.4. angle ACB. Therefore the triangle DEC must bet equal to the triangle ACB, the less to the greater ; which is impossible. I I.Norn.2G. The assumption^, therefore, which involves this impossible consequence, cannot... | |
 | George Gordon Byron Baron Byron - 1836 - 386 Seiten
...to 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... | |
 | John Playfair - 1836 - 148 Seiten
...angle ACB ; therefore (4. 1.), the base DC is equal to the base AB, and the triangle CBD is equivalent 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 of a triangle... | |
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