| 1835
...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 Honours, I trust I have established my defence,... | |
| Euclid - 1835 - 513 sider
...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...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... | |
| Andrew Bell - 1837 - 240 sider
...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...Wherefore from the given point A a straight line AL has** teen drawn equal to the given straight line BC. PROPOSITION HI. PROBLEM. From the greater of two given... | |
| John Playfair - 1837 - 318 sider
...is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal « !13 **to the same are equal to one another ; therefore the...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, James Thomson - 1837 - 390 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. FROM... | |
| Euclid - 1838 - 416 sider
...BC are each of them equal to BG ; and things that are equal to the BOOK. THE ELEMENTS OF EUCLID. r» **same are equal to one another ; therefore the straight...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... | |
| Euclid, Robert Simson - 1838 - 416 sider
...that are equal to the same aqfcequal to one another ; therefore the straight line AL is equal to EC. **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. PROB. FROM the greater of two given straight lines to cut oft' a part... | |
| Alexander Campbell, Charles Louis Loos - 1838
...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... | |
| Robert Isaac Wilberforce, Samuel Wilberforce - 1838
...heavy-looking child, but showing at times much thought — used (in fact) in play yesterday Euclid's axiom, **Things that are equal to the same are equal to one another."** " has far more courage and character than all the other children." " Heard W. read to me for an hour... | |
| 1838
...that CA, CB, are each of them equal to AB, we do not in fact believe that CA is equal to CB because **things that are equal to the same are equal to one another,** although this be the form in which Euclid exhibits the proof. The reception of one truth does not precede... | |
| |