 | Euclides - 1848 - 52 sider
...other point. II. That a terminated straight line may be produced to any length in a straight line. HI. And that a circle may be described from any centre...centre. AXIOMS. I. THINGS which are equal to the same thing are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals... | |
 | Bengal council of educ - 1848 - 394 sider
...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 sider
...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 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... | |
 | Oliver Lorenzo Barbour, New York (State). Supreme Court - 1849 - 706 sider
...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 - 228 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 - 424 sider
...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 - 272 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 - 432 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 - 406 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.... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
