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" AB; but things which are equal to the same are equal to one another... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 7
por Euclides - 1853
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

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,...
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The Reasoner, Volumen6

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...
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Reports of Cases in Law and Equity in the Supreme Court of the ..., Volumen3

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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Of a Liberal Education in General; and with Especial Reference to the ...

William Whewell - 1850 - 416 páginas
...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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A Manual of Logic: Deductive and Inductive

H. H. Munro - 1850 - 272 páginas
...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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Artis logicae rudimenta: with illustrative observations on each section by ...

Henry Aldrich - 1850 - 406 páginas
...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, Volumen3

Francis Bacon - 1850 - 620 páginas
...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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Of a Liberal Education in General

William Whewell - 1850 - 432 páginas
...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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The Serpent Symbol, and the Worship of the Reciprocal Principles of Nature ...

Ephraim George Squier - 1851 - 294 páginas
...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...
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Thoughts on Self-culture, Addressed to Women

Maria Georgina Shirreff Grey, Emily Anne Eliza Shirreff - 1851 - 496 páginas
...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...
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