| 1854
...rank of intellectual and moral agents, is to me as plain and evident as the mathematical axiom, " that **things that are equal to the same, are equal to one another."** The word happiness, however, is far from being generally understood. It is not applicable to inanimate... | |
| John Playfair - 1855 - 318 páginas
...from the centre D, at the distance DG, describe the circle GKL, AL is equal to BC. to the same arc **equal to one another; therefore the straight line...has been drawn equal to the given straight line BC.** PROP. HI. PROB. From the greater of two given straight lines to cut off a part equal to the less. Let... | |
| John Playfair - 1855 - 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...equal to one another ; therefore the straight line AL** ia equal to BC. Wherefore, from the given point A, a straight line AL has been drawn equal to the given... | |
| Euclides - 1855
...are equal (Ax. 1) to one another. Therefore the straight line AL is equal to the straight line B С. **Wherefore from the given point A, a straight line AL has been drawn equal to the given straight line** B С. QEF The construction of this problem might be improved thus:— Join AB. Upon AB describe the... | |
| William Edward Jelf - 1856 - 231 páginas
...¿v pавiц1атiкois fo-^arov тpiyшvov,) hence termed aHrÖijo-is ; such as in mathematics, " **Things that are equal to the same are equal to one another."** In morals, apart, of course, from religion, the generalised facts thus perceived are, from our inability... | |
| Alexander Harvey - 1856 - 236 páginas
...generation possible ne sont point encore parvenus a en faire voir une seule instance." — BABON CUTIEB. " **Things that are equal to the same are equal to one another."** — EUCLID. June 2, 1855. MY DEAR SONS, 1. I had not space in the preceding letter to consider the... | |
| Charles Stephen Grueber - 1856
..."outward sign" are equivalent to the " outward part," and therefore to one another, by the common axiom, " **Things that are equal to the same are equal to one another."** It is true that the term was improperly used by Romanists, as also was " Sign," but it is equally true... | |
| Charles Hastings Collette - 1856
...us in our last agonies," and that we may expire in peace with them ! In theology, as in mathematics, **"things that are equal to the same are equal to one another."** Mary and Joseph are placed in our affection on a level with Jesus, the second person of the Holy Trinity;... | |
| 1857
...illustration of this, we ask the reader to compare together his two views of the following truths: — **Things that are equal to the same are equal to one another** ; and — the force of gravity varies inversely as the square of the distance. Mr. Solly, in treating... | |
| Francis Bacon - 1858
...distributive, if unequals be not given VOL. IV. z to unequals there is the greatest injustice.1 Again " **things that are equal to the same are equal to one another,"** is likewise a rule of mathematics ; but it is at the same time so potent in logic as to be the basis... | |
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