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 - Página 246por Euclid - 1838 - 416 páginasVista completa - Acerca de este libro
| Thomas Harper - 1881 - 798 páginas
...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... | |
| Thomas Harper - 1881 - 798 páginas
...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 - 498 páginas
...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 - 758 páginas
...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 - 518 páginas
...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... | |
| 1881 - 308 páginas
...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... | |
| Herbert Spencer - 1882 - 722 páginas
...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 - 836 páginas
...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... | |
| Stewart W. and co - 1884 - 272 páginas
...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... | |
| Euclides - 1884 - 182 páginas
...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... | |
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