| Herbert Spencer - 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... | |
| Victoria Institute (Great Britain) - 1873
...Here again the word is psyche, but containing all the attributes of kardia. The inference is obvious : **things which are equal to the same are equal to one another.** While we may freely admit that, in the terms of a language, this principle will not rigidly apply,... | |
| James Allanson Picton - 1873 - 492 sider
...because the single case is not, and cannot be, adequately presented to it. For the universal truth, that **things which are equal to the same are equal to one another,** cannot be seen in any case until the notion of equality has been acquired. But this notion again never... | |
| Henry Major - 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... | |
| 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... | |
| Herbert Spencer - 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... | |
| Charles Lunn - 1874 - 72 sider
...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 - 1874 - 225 sider
...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... | |
| Robert Potts - 1875 - 192 sider
...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. —... | |
| Vanderbilt University - 1875 - 112 sider
...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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