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 - Page 4511827Full view - About this book
| Herbert Spencer - Psychology - 1873
...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... | |
| 1873
...than are producible from the deai Now let us turn to the logical and physical side of the question. **Things which are equal to the same are equal to one another,** and if equals be added to equals the whole are equal. Anatomy teaches us that there is no difference... | |
| Henry Major - Student teachers - 1873
...but it has been proved that CA is equal to AB ; therefore CA, CB, are each of them equal to AB , but **things which are equal to the same are equal to one another;** therefore CA is equal to CB ; wherefore CA, AB, BC, are equal to one another; and the triangle ABC... | |
| Charles Lunn - 1874 - 72 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... | |
| William Hickey - Maratha (Indic people) - 1874 - 225 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... | |
| Vanderbilt University - Education, Higher - 1875 - 112 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... | |
| Robert Potts - Aphorisms and apothegms - 1875 - 192 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.... | |
| Alfred Swinborne - Logic - 1875 - 166 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... | |
| ...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... | |
| Richard Hill Sandys - Creation - 1876
...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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