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" But things which are equal to the same are equal to one another || ; therefore CA is equal to CB ; wherefore CA,  "
The Works of Francis Bacon, Lord Chancellor of England: A New Ed.; with a ... - Page 391
by Francis Bacon, Basil Montagu - 1844
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The Works of Francis Bacon, Volume 3

Francis Bacon, Basil Montagu - 1857 - 612 pages
...similarity of instances worthy of observation. Thus, the rhetorical trope which is called surjtrisf, is similar to that of music termed the declining of...sagacity in collecting and searching for physical points c' similarity, is very useful in many respects. NOVUM ORGANUM. 28. In the seventh rank of prerogative...
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What is the Best Unit of Length?: An Inquiry Addressed to the International ...

James Yates - Decimal system - 1858 - 100 pages
...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. 1851-1859

Religion - 1858 - 806 pages
...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, Volume 8

1858 - 812 pages
...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 Intuitions of the Mind Inductively Investigated

James McCosh - History - 1860 - 512 pages
...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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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...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 British Journal of Homoeopathy, Volume 20

1862 - 722 pages
...dilutions, and the pure ideal. The result would determine whether the dictum of opponents be just, that things which are equal to the same are equal to one another. So much by way of exordium. I now proceed to the subject in hand. The propriety of alternating medicines...
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The British Journal of Homoeopathy, Volume 20

John James Drysdale, Robert Ellis Dudgeon, Richard Hughes, John Rutherfurd Russell - Homeopathy - 1862 - 722 pages
...dilutions, and the pure ideal. The result would determine whether the dictum of opponents be just, that things which are equal to the same are equal to one another. So much by way of exordium. I now proceed to the subject in hand. The propriety of alternating medicines...
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Instinct and Reason; Or, The First Principles of Human Knowledge

George Ramsay - Instinct - 1862 - 160 pages
...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, Volume 5; Volume 23

Medicine - 1862 - 792 pages
...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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