| Euclid - 1835 - 513 páginas
...is equal to the 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...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 - 1835 - 316 páginas
...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 the greater of iwo given straight lines to cut. off a part equal to the lest.... | |
| Andrew Bell - 1837 - 240 páginas
...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 that...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 páginas
...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** « !13 to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore,... | |
| Euclid, James Thomson - 1837 - 390 páginas
...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, Robert Simson - 1838 - 416 páginas
...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
...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... | |
| 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... | |
| 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... | |
| 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... | |
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