Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Libros Libros
" 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 246
por Euclid - 1838 - 416 páginas
Vista completa - Acerca de este libro

Λατεινος, Lateinos; or, the only proper and appellative name of the man ...

Reginald Rabett - 1835 - 408 páginas
...equal to 500, so must the former (as the representative of the latter,) be equal to 500 ; because ' things which are equal to the same are equal to one another.' But as the «ir«nj/*or or stenographical character q is a cypher, and no letter, or letters, of the...
Vista completa - Acerca de este libro

Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - 1837 - 156 páginas
...individual comprehended in it ; which is analogous to the axiom, or common notion of equality, that things which are equal to the same are equal to one another, or that the whole is made up of all the parts. A syllogism, to make a homely simile, is a kind of two-pronged...
Vista completa - Acerca de este libro

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 410 páginas
...referred to (he work itself. It may be farther remarked, that the author adopts only the one axiom, " that things which are equal to the same, are equal to one another ;" deriving from this, as corollaries, such of the other axioms, as he requires in his subsequent reasonings....
Vista completa - Acerca de este libro

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 páginas
...But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; now things which are equal to the same are equal to one another. (1. Axiom) ; therefore CA is equal to CB ; wherefore CA, AB, CB are equal to one another ; trtrmgte...
Vista completa - Acerca de este libro

Parochial lectures

William Josiah Irons - 1837 - 160 páginas
...proof. Our minds perceive all such truths by a direct glance. If any man should require proof that ' things which are equal to the same are equal to one another,' he would never get any such proof. If he should find by experience that it had been so, in a million...
Vista completa - Acerca de este libro

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...III. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. I. THINGS which are equal to the same are equal to one another. II. If equals be added to equals, the wholes are equals. m. If equals be taken from enuals, the remainders...
Vista completa - Acerca de este libro

Gradations in Algebra: In which the First Principles of Analysis are ...

Richard W. Green - 1839 - 156 páginas
...dividing the 1st, x= — >£ Transposing and dividing the 2d, x= — —Jr. 5 Now, as it is evident that things which are equal to the same, are equal to one another ; one value of x is equal to the other value of x ; thus, ^. * 23— 3y _10+2y ~2~ ~~" ~5~ Destroying...
Vista completa - Acerca de este libro

The Works of Francis Bacon, Lord Chancellor of England, Volumen3

Francis Bacon - 1841 - 618 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. Lastly...
Vista completa - Acerca de este libro

Works, Volumen3

Francis Bacon - 1841
...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. Lastly...
Vista completa - Acerca de este libro

The Dublin Review, Volumen11

Nicholas Patrick Wiseman - 1841 - 628 páginas
...arrangement, how can the celebrated demand in the theory of parallels rank under the same head as that " things which are equal to the same are equal to one another." The misplacement of this axiom about parallels has cost many a trial at this old difficulty, and procured...
Vista completa - Acerca de este libro




  1. Mi biblioteca
  2. Ayuda
  3. Búsqueda avanzada de libros
  4. Descargar EPUB
  5. Descargar PDF