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 Bøker Bok 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. The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 262
av Euclides - 1834
Uten tilgangsbegrensning - Om denne boken ## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

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....
Uten tilgangsbegrensning - Om denne boken ## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

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...
Uten tilgangsbegrensning - Om denne boken ## Christian Thought, Volum 1

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...
Uten tilgangsbegrensning - Om denne boken ## Picture Logic

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...
Uten tilgangsbegrensning - Om denne boken ## Alluring Absurdities: Fallacies of Henry George

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...
Uten tilgangsbegrensning - Om denne boken ## The Harpur Euclid: An Edition of Euclid's Elements

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...
Uten tilgangsbegrensning - Om denne boken ## Free Exchange: Papers on Political and Economical Subjects Including ...

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...
Uten tilgangsbegrensning - Om denne boken ## Novum Organum: Or, True Suggestions for the Interpretation of Nature

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...
Uten tilgangsbegrensning - Om denne boken ## The Popular Science Monthly, Volum 8

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...
Uten tilgangsbegrensning - Om denne boken ## Hume, with Helps to the Study of Berkeley: Essays

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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