Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
Bøker Bok
" 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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 256
av Euclid, Robert Simson - 1838 - 416 sider
Uten tilgangsbegrensning - Om denne boken

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

Reginald Rabett - 1835
...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...
Uten tilgangsbegrensning - Om denne boken

The philosophy of morals

Alexander Smith (M.A.) - 1835
...of mathematical axioms. Take such instances as these, " all the parts are equal to the whole," — " things which are equal to the same are equal to one another." Why must we at once affirm that these propositions are true, and that the contrary of them cannot be...
Uten tilgangsbegrensning - Om denne boken

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...demonstrating the propositions of the following sections, and are therefore here premised : — AXIOMS.* 1. Things, which are equal to the same, are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders...
Uten tilgangsbegrensning - Om denne boken

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

Euclid, James Thomson - 1837 - 390 sider
...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....
Uten tilgangsbegrensning - Om denne boken

Parochial lectures

William Josiah Irons - 1837
...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...
Uten tilgangsbegrensning - Om denne boken

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

John Playfair - 1837 - 318 sider
...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...
Uten tilgangsbegrensning - Om denne boken

Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - 1837 - 135 sider
...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...
Uten tilgangsbegrensning - Om denne boken

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

Richard W. Green - 1839 - 148 sider
...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...
Uten tilgangsbegrensning - Om denne boken

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

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...
Uten tilgangsbegrensning - Om denne boken

Works, Volum 3

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...
Uten tilgangsbegrensning - Om denne boken




  1. Mitt bibliotek
  2. Hjelp
  3. Avansert boksøk
  4. Last ned ePub
  5. Last ned PDF