 | Euclides - 1864 - 262 σελίδες
...to the remainder BG ; (ax. 3.) but it has been shewn that BCis equal to BG, wherefore AL and .BCare 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. (ax. 1.) Wherefore... | |
 | Euclides - 1864 - 448 σελίδες
...to the remainder BG; (ax. 3.) but it has been shewn that BC is equal to BG, wherefore AL and B Care 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. (ax. 1.) Wherefore... | |
 | Robert Potts - 1865 - 528 σελίδες
...therefore the remainder AL is equal to the remainder BG; (ax. 8.) 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 thing are equal to one another ; therefore the straight line AL is equal to BC. (ax. 1.) Wherefore... | |
 | Euclides - 1865 - 402 σελίδες
...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 which are equal to the same thing are equal to one another ; therefore tne straight line AI. is equal... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...to BG. But things which are equal to the same thing are equal to one another. [Axiom 1 . Therefore 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. QEF PROPOSITION 3. PROBLEM. From... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...equal to BG. But things which are equal to the same thing are equal to one another. [Axiom 1. Therefore AL is equal to BC. Wherefore from the given point A a straight line AI, has been drawn equal to the given straight line BC. QEP PROPOSITION 3. PROBLEM. From... | |
 | Robert Potts - 1868 - 434 σελίδες
...to the remainder BG; (ax. 3.) but it has been shewn that .BCis equal to BG, wherefore AL and BCaie 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. (ax. 1.) Wherefore... | |
 | Henry Major - 1873 - 588 σελίδες
...equal to the remainder BG; but it has been shown that BC is equal to BG ; wherefore AL and BC are cash of them equal to BG ; and things that are equal to the same are equal to one another ; therefore AL is equal to BC. Wherefore from the given point A a straight... | |
 | Euclides - 1874 - 342 σελίδες
...therefore 3. 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 which are equal to the same thing are equal to one another (Ax. 1) ; therefore 4. The straight line... | |
 | Robert Potts - 1876 - 446 σελίδες
...therefore the remainder AL is equal to the remainder BG; (ax. 5.) but it has been shewn that BC Is equal to BG, wherefore AL and .BC are each of them equal to BG ; •td things that are equal to the same thing are equal to one another) therefore the straight line... | |
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Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. 
