Søgning Billeder Maps Play YouTube Nyheder Gmail Drev Mere »
Log ind
Bøger Bøger
" 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: Viz. the First Six Books, Together with the Eleventh ... - Side 318
af Euclid - 1810 - 518 sider
Fuld visning - Om denne bog

The Monthly Anthology, and Boston Review, Bind 5

David Phineas Adams, William Emerson, Samuel Cooper Thacher - 1808 - 708 sider
...confound our two articles. " In the Celtic" says he, " the article an signifies the and that." But as things, which are equal to the same, are equal to one another, it is easy to prove, since an means that, and //•.- means that, that an and the are in the English...
Fuld visning - Om denne bog

Philosophical Transactions of the Royal Society of London: From ..., Bind 9

Royal Society (Great Britain) - 1809 - 738 sider
...conclude the same tiling, tart are quite contrary to your conclusion, and depend on that common axiom, that those things which are equal to the same are equal to each other; which however holds only in homogeneous quantities, as here in comparing a virtual action...
Fuld visning - Om denne bog

The Scots Magazine and Edinburgh Literary Miscellany, Bind 76

1814 - 1032 sider
...contrary, they are such 35, considered separately, do not afford room for a single inference. — That things which are equal to the same, are equal to one another, and that the whole is greater than its part, considered in themselves, are mere barren truisms. The...
Fuld visning - Om denne bog

Easy Introduction to Mathematics, Bind 2

Charles Butler - 1814 - 582 sider
...ACE, BC is equal to BA, by the \5th definition; therefore CA,.CB are each of them equal to AB ; but things which are equal to the same are equal to one another, by the 1st' axiom; wherefore CA and CB are equal to one another, being each equal to AB ; consequently...
Fuld visning - Om denne bog

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...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 equal. III. If equals be taken from equals, the...
Fuld visning - Om denne bog

An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 sider
...because they divide the globe into unequal parts, called segments, as o C b and A ob B D. 2. Axioms.* 1. Things which are equal to the same, are equal to one another. * Axiom, implies a plain, self-evident troth or proposition, which is no sooner proposed but understood....
Fuld visning - Om denne bog

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

John Playfair - 1819 - 354 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 .I. Axiom) ; therefore CA is equal to CB ; wherefore CA, AB, B are equal to one another ; and the triangle...
Fuld visning - Om denne bog

The Oedipus Romanus; Or, An Attempt to Prove, from the Principles of ...

George Townsend - 1819 - 156 sider
...circumstance indeed so very surprising, that if I had time to prosecute the inquiry, I might prove, that as things which are equal to the same, are equal to one another, the Patriarchs are the Caesars, and the Caesars the sons of Jacob, because they are both synonymous...
Fuld visning - Om denne bog

Artis logicæ rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821 - 300 sider
...reared, and as the final appeal in argument. They benr some slight 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....
Fuld visning - Om denne bog

The First Six Books with Notes

Euclid - 1822 - 222 sider
...a circle may be described from any centre, /&, ff, at any distance from that centre. M o 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...
Fuld visning - Om denne bog




  1. Min samling
  2. Hjælp
  3. Avanceret bogsøgning
  4. Download ePub
  5. Download PDF