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" 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 - Página 246
por Euclid - 1838 - 416 páginas
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...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....
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Liber Cantabrigiensis, an Account of the Aids Afforded to Poor Students, the ...

Robert Potts - 1855 - 554 páginas
...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....
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The Popular Educator, Volumen6

1855
...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>...
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Locke's writings and philosophy historically considered, and vindicated from ...

Edward Tagart - 1855 - 504 páginas
...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,...
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Liber Cantabrigiensis, an Account of the Aids Afforded to Poor Students, the ...

Robert Potts - 1855 - 588 páginas
...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....
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The Works of Francis Bacon, Volumen3

Francis Bacon, Basil Montagu - 1857 - 612 páginas
...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:...
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What is the Best Unit of Length?: An Inquiry, Addressed to the International ...

James Yates, International Association for Obtaining a Uniform Decimal System of Measures, Weights, and Coins. British Branch - 1858 - 100 páginas
...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,...
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The Monthly Christian spectator, Volumen8

1858
...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,"...
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The Monthly Christian Spectator. 1851-1859

1858
...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,"...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...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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