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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid - Side 8
av Euclid - 1838 - 416 sider
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Scholarship examinations of 1846/47 (-1853/54).

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...
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...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...
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Reports of Cases in Law and Equity in the Supreme Court of the ..., Volum 3

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...
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

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,...
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The Reasoner, Volum 6

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...
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A Manual of Logic: Deductive and Inductive

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....
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Of a Liberal Education in General, Del 1

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...
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Artis logicae rudimenta: with illustrative observations on each section by ...

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....
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The Works of Francis Bacon, Lord Chancellor of England, Volum 3

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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