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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 London Magazine - Seite 451
1827
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Francisci BAconi de Verulamio, ...: Novum organum, sive Indicia vera de ...

Francis Bacon - 1855 - 385 Seiten
...Music called " sliding from the close or cadence." In like manner, the Mathematical Postulate, " those things which are equal to the same, are equal to one another," is Conformable to the construction of the Syllogism in Logic; for it unites those Terms which agree...
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The Novum Organon: Or, A True Guide to the Interpretation of Nature

Francis Bacon - 1855 - 338 Seiten
...Music called "sliding from the close or cadence." In like manner, the Mathematical Postulate, " those things which are equal to the same, are equal to one another," is Conformable to the construction of the Syllogism in Logic; for it unites those Terms which agree...
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The Works of Francis Bacon, Band 3

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

James Yates - 1858 - 79 Seiten
...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, Band 8

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
...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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The Intuitions of the Mind

Rev. James Mcosh - 1860
...as the " Common Notions," so far as they relate to quantity, prefixed by Euclid to his Elements. " Things which are equal to the same are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders...
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Instinct and Reason; Or, The First Principles of Human Knowledge

George Ramsay - 1862 - 136 Seiten
...in the first place, what are called the Axioms of Mathematics or the Science of Quantity, such as " Things which are equal to the same, are equal to one another." " If equals be added to equals, or subtracted from equals, the wholes, or the remainders, will be equal."...
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The Cincinnati Lancet & Observer, Band 5

1862
...insisted on by Mr. Lewes and others : namely, that alcohol replaced a certain amount of food ; and " as things which are equal to the same are equal to one another," he inferred that if a glass of ale was equal to a slice of mutton, in its satisfying effect, and that...
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