Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" But things which are equal to the same are equal to one another || ; therefore CA is equal to CB ; wherefore CA,  "
Works - Page 391
by Francis Bacon - 1841
Full view - About this book

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

Robert Simson - 1806 - 546 pages
...been proved that CA finition. is equal to AB ; therefore CA, CB are each of them equal to AB ; but things which are equal to the same are equal to one Another d ; therefore CA is equal to CB ; wherefore CA, AB, BC d 1st Axare equal to one another; and the triangle...
Full view - About this book

The Monthly Anthology, and Boston Review, Volume 5

David Phineas Adams, William Emerson, Samuel Cooper Thacher - 1808 - 708 pages
...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...
Full view - About this book

The Scots Magazine and Edinburgh Literary Miscellany, Volume 76

1814 - 1032 pages
...the 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...
Full view - About this book

Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...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...
Full view - About this book

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

Euclides - 1816 - 588 pages
...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...
Full view - About this book

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

John Greig - 1816 - 224 pages
...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....
Full view - About this book

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

George Townsend - 1819 - 156 pages
...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...
Full view - About this book

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

John Playfair - 1819 - 354 pages
...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...
Full view - About this book

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

Henry Aldrich - 1821 - 300 pages
...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....
Full view - About this book

The First Six Books with Notes

Euclid - 1822 - 222 pages
...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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF