| Thomas Harper - 1881
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise: **Things which are equal to the same are equal to one another.** Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming... | |
| Christian evidence society - 1879
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that **things which are equal to the same are equal to one another** to actual things, we should first have to ascertain the fact that the two things were exactly equal,... | |
| Herbert Spencer - 1881
...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... | |
| 1881
...premises, the science of mathematics is " fundamentally wrong," and that it is an error to believe that **things which are equal to the same, are equal to one another,** or that the whole is greater than its parts. Accordingly, were it true that Freethinkers differed from... | |
| 1881
...always begin with an invocation to the Pleiades, thus fixing the original November date of the feast. " **Things which are equal to the same are equal to one another."** I have already adduced evidence to show that the Serbian Christmas feast is substantially a more primitive... | |
| Herbert Spencer - 1882
...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... | |
| 1883
...straight and crooked would have no more meaning to him than red and blue to the Wind. The axiom, that **things which are equal to the same are equal to one another, is** only a particular case of the predication of similarity ; if there were no impressions, it is obvious... | |
| Euclides - 1884
...angles CBE, EBA, ABD. But the angles CBE, EBD have been proved equal to the same three angles ; and **things which are equal to the same are equal to one another** ; therefore the angles CBA, ABD are equal to the angles CBE, EBD. ' (Ax. 1) But CBE, EBD are two right... | |
| Stewart W. and co - 1884
...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... | |
| Henry James Clarke - 1885 - 265 sider
...the unreasonableness of such a desire. What then am I to do ? I need not ask how I am to prove that **things which are equal to the same are equal to one another** : this truth is one of which I have a clear perception ; I feel sure that I know it by immediate intuition,... | |
| |