| Euclid, John Casey - 1885 - 312 sider
...is the centre of the circle ACE, BC is equal to BA. Hence we have proved. AC = AB, and BC = AB. But **things which are equal to the same are equal to one another** (Axiom i.) ; therefore AC is equal to BC ; therefore the three lines AB, BC, CA are equal to one another.... | |
| Euclides - 1885
...AB . BE is equal to the figure AE. Hence the rectangle AB . CB is equal to the figure AE. And since **things which are equal to the same are equal to one another,** the rectangle AC . CB, together with the square, on CB, is equal to the rectangle AB . CB. , Or thus... | |
| 1886
...same time be and not be ; (2) that if equals be added to equals the wholes are equal ; and (3) that **things which are equal to the same are equal to one another.** It so happens that each of these propositions which he has assumed to be true is, if true, much more... | |
| Alfred James Swinburne - 1887 - 188 sider
...middle terms is called the minor premiss. The former always comes first. Unless the principle that " **things which are equal to the same are equal to one another** " were true, it would not follow that " Socrates " and " mortal," which are equal to the same (" man... | |
| Michael William Meagher - 1889 - 193 sider
...says the trunk lines of railroads unite to raise rates, just as robbers unite to plunder in concert. **Things which are equal to the same are equal to one another.** If, then, railroad companies unite to raise rates, and workingmen unite to raise rates of wages, and... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...ie Elementary Problems whose construction it is to be taken for granted we can effect. AXIOMS.1 1. **Things which are equal to the Same are Equal to One Another.** 2. If equals te Added to equals, the Wholes are equal. 3. If equals be Taken from equals, the Remainders... | |
| Louis Mallet - 1891 - 356 sider
...Mill's " Principles of Pol. Econ.," cap. 21. exports exchange for the same quantity of money. And since **things which are equal to the same are equal to one another,** the imports and exports which are equal in money price would, if money were not used, precisely exchange... | |
| Francis Bacon - 1893 - 245 sider
...Similar to that of Music termed the Declining of a Cadence. Again ; the Mathematical Postulate, that **things which are equal to the same are equal to one another, is** Similar to the Form of the Syllogism in Logic, which unites things agreeing in the Middle Term. Lastly... | |
| 1876
...the same time be and not be ; 2. That if equals be added to equals, the wholes are equal ; 3. That **things which are equal to the same are equal, to one another.** It so happens that each of these propositions which he lias assumed to be true is, if true, much more... | |
| Thomas Henry Huxley - 1896 - 319 sider
...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that **things which are equal to the same are equal to one another, is** only a particular case of the predication of similarity; if there were no impressions, it is obvious... | |
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