 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 - Pagina 246door Euclid - 1838 - 416 pagina’sVolledige weergave - Over dit boek
 | Robert Potts - 1855 - 1050 pagina’s
...that the evidence of the conclusion is manifest.—Dr Whewell. 199. 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.—Bacon.... | |
 | Robert Potts - 1855 - 588 pagina’s
...that the evidence of the conclusion is manifest.—Dr Whewett. 199. 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.—Bacon.... | |
 | 1855 - 424 pagina’s
...art equal to ta<A other. (Euclid 11, 5.) This is nothing more than an application of the axiom, that things which are equal to the same are equal to one another. And с : d : : m : n 2. If a :.* : : m : я And m : n : : с : d Cor. If a : 6 : : m : я l m : п>... | |
 | Edward Tagart - 1855 - 524 pagina’s
...of nature and fact. In mathematical reasoning, no axiom is more constantly employed than this — ' things which are equal to the same are equal to one another.' Are the ideas of equality and inequality in the mind of a child before things have been observed, measured,... | |
 | Robert Potts - 1855 - 588 pagina’s
...that the evidence of the conclusion is manifest.—Dr Whewell. 199. The mathematical postulate, that " things which are equal to the same are equal to one another, 1 ' is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.—Bacon.... | |
 | Francis Bacon, Basil Montagu - 1857 - 612 pagina’s
...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:... | |
 | James Yates - 1858 - 100 pagina’s
...differences must exist in all attempts to compare the lengths of different objects. Euclid's axiom, " Things, which are equal to the same, are equal to one another," is strictly true only of mathematical lines and other imaginary quantities. In practice it is sufficient,... | |
 | 1858 - 812 pagina’s
...David;" Christ was the "son of David;" hence were Solomon and Christ the one or parallel characters, for things which are equal to the same are equal to one another. If the " last days " were to be the days of Christ, and if those were to be as the " days of Noah,"... | |
 | 1858 - 806 pagina’s
...Christ was the " son of David ;" hence were Solomon and Christ the one or parallel characters, for things which are equal to the same are equal to one another. If the " last days " were to be the days of Christ, and if those were to be as the " days of Noah,"... | |
 | Eucleides - 1860 - 396 pagina’s
...are equal to one another in area. CONSTRUCTION. — Draw BE and CH. DEMONSTRATION. Syllogism 1. Da (Things which are equal to the same) ARE equal to one another. [Ax. 1.] ii The straight lines BC and EH ARE equal to the same FG. [Hypoth. and I. 34] i Therefore... | |
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