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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: Viz. the First Six Books, Together with the Eleventh ... - Page 306
by Euclid - 1835 - 513 pages
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 670 pages
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — "Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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The Tanjore Mahratta Principality in Southern India: The Land of the Chola ...

William Hickey - Maratha (Indic people) - 1874 - 486 pages
...laws, which they have been taught to believe sacred, and which alone they can possibly comprehend."1 ' Things which are equal to the same are equal to one another,' says Euclid. What applies to the part, will apply to the whole. A political agent, the only political...
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The philosophy of voice

Charles Lunn - 1874 - 84 pages
...living subject than are producible from the dead. Let us turn to the logical side of the question. Things which are equal to the same are equal to one another. Anatomy teaches us that there is no difference between the male and female larynx save in size, so...
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Aphorisms, maxims, &c., for learners, selected and arranged by R. Potts

Robert Potts - Aphorisms and apothegms - 1875 - 208 pages
...the evidence of the conclusion is manifest. — Dr. Whewell. 214. 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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Dedication and Inauguration of the Vanderbilt University: Nashville ...

Vanderbilt University - 1875 - 120 pages
...the 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...
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Picture Logic: Or, The Grave Made Gay; an Attempt to Popularise the Science ...

Alfred Swinbourne - Logic - 1875 - 206 pages
...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...
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Troubles of the English Church 1859-72, examined in a selection from ...

Thomas Hervey - 1876 - 312 pages
...Paganism are identical ; another, that our Book of Common Prayer is Roman, and our clergy Romanizers. Things which are equal to the same are equal to one another, therefore our clergy are pagans. The absurdity of such a conclusion does not strike the writers ? or...
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The Pilot, a journal of religion, politics, literature ..., Volume 1, Issue 1

240 pages
...Apostolic, it necessarily followed that they were in agreement with each other ; for it ia an axiom that things which are equal to the same, are equal to one another. But a time came when this form of Church Government was abandoned, first by one Church and then by...
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In the beginning, remarks on certain modern views of the Creation

Richard Hill Sandys - Creation - 1876 - 336 pages
...neither of the other supposed Evangelists ever wrote anything to quote from, and- that consequently, as things which are equal to the same are equal to one another, none of the alleged Gospels are either true or authentic." One need not be careful here in reference...
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The Ottoman Power in Europe: Its Nature, Its Growth, and Its Decline

Edward Augustus Freeman - Eastern question (Balkan) - 1877 - 360 pages
...which he cannot prove, but which he deems can abundantly prove themselves. With those who deny that things which are equal to the same are equal to one another the geometer does not argue. With such an one he has no common ground for argument. So neither can...
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