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 - Seite 4511827Vollansicht - Über dieses Buch
| Henry Aldrich - 1850 - 390 Seiten
...to be reared, and the final appeal in argument. They bear some analogy to the mathematical axioms, **Things which are equal to the same are equal to one another;** and, Things of which one is equal and the other not equal to the same, are not equal to one another.... | |
| William Whewell - 1850 - 382 Seiten
...It may be said, indeed, that every step in analysis is a syllogism, in which the major is the Axiom, **Things which are equal to the same are equal to one another;** and the minor is a proposition that two certain forms of symbols have been proved to be equal to the... | |
| William Whewell - 1850
...It may be said, indeed, that every step in analysis is a syllogism, in which the major is the Axiom, **Things which are equal to the same are equal to one another;** and the minor is a proposition that two certain forms of symbols have been proved to be equal to the... | |
| Maria Georgina Shirreff Grey, Emily Anne Eliza Shirreff - 1851 - 464 Seiten
...other," it is evidently only another mode of expressing the axiom in geometry, referred to above, " **Things which are equal to the same, are equal to one another."** These are not peculiar principles of particular sciences, but formulae of the essential laws of thought... | |
| John Campbell - 1851 - 549 Seiten
...Asiatics, the utter destruction of all biblical chronology by this process would be another. " Now, ' **things which are equal to the same are equal to one another.'** If they are anterior to Shoopho's pyramid in Egypt, then Meroe must have been occupied in the earliest... | |
| Ephraim George Squier - 1851 - 254 Seiten
...authority, if not, possibly by the Egyptian documents yet deciphered) — which hypothesis is Euclidean. " **Things which are equal to the same are equal to one another."** Now, if the " Mundane Egg" be, in the papyric Rituals, the equivalent to Sun, and that, by other hieroglyphical... | |
| 1852
..."Yes." " And the three baskets three days too?" "Yes." Well, thought I, if it be a true axiom that **things which are equal to the same are equal to one another,** then a grape vine and a basket are identical ! So, finding the rabbinical logic of this poor deluded... | |
| Euclides - 1852
...a circle may be described from any centre, with any distance from that centre as radius. AXIOMS. 1. **Things which are equal to the same, are equal to one another.** 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
| Euclides - 1852
...compasses. Having these, the reader will be able to draw any of the figures in this book.] AXIOMS. I. **THINGS which are equal to the same are equal to one another.** II. If equals be added to equals, the wholes are equal. III. If equals be taken from equals, the remainders... | |
| 1858
...have a gayer or gladder aspect. Mr. Smith's only justification here is a mathematical one : that as **things which are equal to the same are equal to one another,** and both blossoms and tears have been likened to a shower of rain, therefore blossoms may always be... | |
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