 | Euclides - 1816 - Liczba stron: 588
...equal to f3Ar. the remainder* BG; But it has been shown, that BC is equal to BG ; wherefore AL and BG are each of them equal to BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given... | |
 | John Playfair - 1819 - Liczba stron: 354
...therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore, from the... | |
 | Euclid, Robert Simson - 1821 - Liczba stron: 514
...the remainder AL is equal to the remainder (3. Ax.J BG; but it has been shown, that BC is equal to G, wherefore AL and BC are each of them equal to BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...therefore the remainder AL is equal to the remainder (3 Ax.) BG : But it has oeen shown, that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore from the given... | |
 | Euclid, John Playfair - 1826 - Liczba stron: 326
...remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG : wherefore AL and BC are eaeh B of them equal to BG ; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore, from the given... | |
 | Robert Simson - 1827 - Liczba stron: 546
...1 Ax. '2.1. ' 3 Post. t 15 Def. t Constr. •1Ax. that BC is equal to BG ; wherefore AL nnd BC nre each of them equal to BG : and things that are equal to the same thing are equal-)- to one another; therefore the straight line AL is equal to BC. Wherefore from... | |
 | John Playfair - 1829 - Liczba stron: 210
...ecjual (27 Def.); therefore the remainder AL is equal to the remainder BG (3 Ax.). But BC is equal to BG; wherefore AL and BC are each of them equal to BG; therefore the line AL is equal to BC (1 Ax.); and AL is drawn from the given point A, as was to be... | |
 | Thomas Perronet Thompson - 1833 - Liczba stron: 168
...; therefore the remainder AL isj equal to the remainder BG. But it has been shown that BC is equal to BG ; wherefore AL and BC are each of them equal to BG. And things which are equal to the same, are* equal to one another ; therefore AL is equal to BC. Wherefore from... | |
 | Euclid - 1835 - Liczba stron: 540
...therefore the remainder AL is equal to the remainder ff 3- AxBG : But it has been shown, that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore from the given... | |
 | Andrew Bell - 1837 - Liczba stron: 290
...therefore the remainder AL is equal to the remainder BG (Ax. 3) : But it has been shown that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore from the given... | |
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Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. 
