| 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... | |
| 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;... | |
| Alexander Harvey - 1856 - 236 sider
...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... | |
| William Edward Jelf - 1856 - 231 sider
...¿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... | |
| 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... | |
| George Henry Lewes - 1858 - 414 sider
...variation." And Dr Alexander Harvey reminds us on GEMMATION AND GENERATION. 309 this point, that " **things that are equal to the same, are equal to one another** ;" so that if the product of the bud and the product of the seed be in all respects identical, there... | |
| REV. JAMES CARLILE - 1859
...the axioms of mathematics depend on our cognitions of matter and space. Those that do not, such as " **Things that are equal to the same are equal to one another,"** or more generally, "Things that are like the same in any particular are like one another in that particular,"... | |
| 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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