| Bengal council of educ - 1848
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " **things which are equal to the same are equal to one another,"** which can equally well be applied to logic, thereby insinuating that the observations of " philosophia... | |
| Bengal (India) - 1848
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " **things which are equal to the same are equal to one another,"** which can equally well be applied to logic, thereby insinuating that the observations of "philosophia... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...other point. II. That a terminated straight line may be produced to any length in a straight line. m. **And that a circle may be described from any centre,...which are equal to the same are equal to one another.** n. If equals be added to equals, the wholes are equal. m. If equals be taken from equals, the remainders... | |
| New York (State). Supreme Court, Oliver Lorenzo Barbour - 1849
...uninfluenced by the demonstration of the simplest problem in Euclid, and to which the axiom, " that **things which are equal to the same are equal to one another,"** would be too abstruse for comprehension. The judgment and the note were familiar. and their relation... | |
| Richard Dawes - 1849 - 184 sider
...which many of them would turn to a good purpose. Even a knowledge of the axioms of Euclid, such as " **things which are equal to the same are equal to one another."** If equals be added to equals the wholes are equal. If equals be added to unequals, the wholes are unequal,... | |
| 1849
...be paid as well as yours, and I should have d£20,000 a-year instead of 4s. a-day; becanse you see **things which are equal to the same are equal to one another.'** The Spectator, of April 28, 1849, says — '"Genins" consists in a special capacity for some particular... | |
| H. H. Munro - 1850 - 237 sider
...the basis on which the syllogism is founded. 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 sider
...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... | |
| Henry Aldrich - 1850 - 390 sider
...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.... | |
| Francis Bacon - 1850
...similar to that of music termed the declining of a cadence. 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.... | |
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