 | Robert Simson - 1838 - 434 pagina’s
...remainder AL is equal to the remainder (3. Ax.) 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 aqfcequal to one another ; therefore the straight line AL is equal to EC. Wherefore from the given... | |
 | Euclides - 1838 - 264 pagina’s
...therefore the remainder* AL is equal to the remainder BG: but it has been shewn, that BC is eijual to BG; wherefore AL and BC are each of them equal to BG: and things which are equal to the same thing are equalt to one another; therefore the straight line AL is equal... | |
 | Euclides - 1841 - 378 pagina’s
...things that are equal to the same thing are equal * to one another; • 1 Ax. therefore the straight line AL is equal to BC. Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. Which was to be done. PROP. III.... | |
 | John Playfair - 1842 - 332 pagina’s
...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... | |
 | Euclides - 1842 - 316 pagina’s
...to the remainder (3 Ax.) BG: But it has been shown, that вc is equal to BG ; wherefore AL and вc 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 в c. Wherefore from the... | |
 | John Playfair - 1844 - 338 pagina’s
...circle GKL, AL is equal to BC. to the same are equal to one another ; therefore the straight lia£ AL is equal to BC. Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater... | |
 | Euclid - 1845 - 218 pagina’s
...therefore the remainder AL is equal to the remainder]: 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... | |
 | Euclides - 1845 - 546 pagina’s
...therefore the remainder AL is equal to the remainder BG; (ax. 3.) but it has been shewn 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 thing are equal to one another ; therefore the straight line AL is equal... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...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... | |
 | Euclides - 1846 - 292 pagina’s
...remainder AL is equal to the remainder BG (Ax. 3) : But it has been shewn that BC is equal to BG; therefore AL and BC are each of them equal to BG : And things which are equal to the same are equal to one another ; therefore the straight line AL is equal to BC.... | |
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Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. 
