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
| John Daniel Morell - 1846 - 536 páginas
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " **things which are equal to the same are equal to one another,"** never suggests itself to a child's mind. and yet as soon as reason is developed enough to observe equality,... | |
| Euclides - 1846 - 292 páginas
...But it has been shewn that BC is equal to BG; therefore AL and BC are each of them equal to BG : And **things which are equal to the same are equal to one another** ; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL... | |
| Euclides - 1846 - 272 páginas
...3. That a circle can be described from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . **Things which are equal to the same are equal to one another.** 2. If equals be added to equals, the wholes will be equal. 3. If from equals, equals be taken, the... | |
| J. D. Morell - 1847 - 632 páginas
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " **things which are equal to the same are equal to one another,"** never suggests itself to a child's mind ; and yet as soon as reason is developed enough to observe... | |
| Bengal council of educ - 1848 - 396 páginas
...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 - 520 páginas
...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... | |
| Euclid, Thomas Tate - 1849 - 120 páginas
...BA: 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** (Axiom 1.) ; therefore CA is equal to cu; wherefore CA. AB, BC are equal to one another; and the triangle... | |
| 1849 - 424 páginas
...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... | |
| Richard Dawes - 1849 - 228 páginas
...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,... | |
| Oliver Lorenzo Barbour, New York (State). Supreme Court - 1849 - 706 páginas
...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... | |
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