| Euclides - 1838
...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 to BC.** Where- * * A*' fore, from the given point A, a straight line AL has been drawn equal to the given straight... | |
| Euclides - 1841 - 351 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,...has been 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... | |
| John Playfair - 1842 - 317 sider
...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...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
...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...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
...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
...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
...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... | |
| Euclid - 1845 - 199 sider
...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...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
...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... | |
| Euclid, James Thomson - 1845 - 352 sider
...things that are equal to the same are equal (I. ax. 1) to one another; therefore the straight line AF **is equal to BC. Wherefore from the given point A a straight line** AF has been drawn equal to the given straight line BC : which was to be done. PROP. III. PROB. —... | |
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