 | Alexander Campbell, Charles Louis Loos - 1838 - 584 sider
...in the East,, bounded by the same designations. These are contemporaneous and correlate events. But "things that are equal to the same, are equal to one another;" and hence we hasten to observe, that the continuance of the sufferings and sustenance of the woman... | |
 | Euclides - 1841 - 378 sider
...them equal to BF; and 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,...drawn equal to the given straight line BC. Which was to be done. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to... | |
 | John Playfair - 1842 - 332 sider
...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...has been drawn equal to the given straight line BC. ' PROP. III. PROB. From th? greater of two given straight lines to cut off a part equal to the less.... | |
 | Euclides - 1842 - 316 sider
...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...another ; therefore the straight line AL is equal to в c. Wherefore from the given point A, a straight line AL has been drawn equal to the given straight... | |
 | J. Cypress - 1842 - 268 sider
...argument to prove, that a dog runs on four feet; and so a cat is like a fox, and a dog is like a fox, and things that are equal to the same are equal to one another ; and so a cat is a dog, and a dog is a cat; and so, your Honors, I trust I have established my defence,... | |
 | William Goode - 1842 - 708 sider
...Scripture is obscure. You will have to teach a child or a clown by more or less of explanation that things that are equal to the same are equal to one another, while I suppose no man will deny that if this proposition was in the Bible as a point of faith, the... | |
 | William Goode - 1842 - 706 sider
...Scripture is obscure. You will have to teach a child or a clown by more or less of explanation that things that are equal to the same are equal to one another, while I suppose no man will deny that if this proposition was in the Bible as a point of faith, the... | |
 | John Playfair - 1844 - 338 sider
...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...has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to the less.... | |
 | Euclid - 1845 - 218 sider
...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...to BC. Wherefore from the given point A a straight tine AL has been drawn equal to the given straight line BC. Which was to be done. PROPOSITION III.... | |
 | Euclides - 1845 - 546 sider
...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 to BC. (ax. 1.) Wherefore from the given point A a straight line AL has been drawn equal to the given straight... | |
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DL is equal to DG, and DA, DB, parts of them, are equal ; 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... 
