 | 1854 - 606 pàgines
...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... | |
 | Euclides - 1855 - 270 pàgines
...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 - 514 pàgines
...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 - 278 pàgines
...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 - 86 pàgines
..."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 - 252 pàgines
...¿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 - 542 pàgines
...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 - 540 pàgines
...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 - 448 pàgines
...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 - 346 pàgines
...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,"... | |
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BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC. 
