Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal... "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 6
by Euclides - 1879
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...described from any centre, at any distance from that centre. AXIOMS. 1. Tiiings which are equal to the same thing are equal to one another. 2. If equals...wholes are equal, 3. If equals be taken from equals the remamders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken...
Full view - About this book

Induction

Alexander Bain - Logic - 1870 - 478 pages
...unquestionable axioms, conforming to both the criteria. The five succeeding are — AXIOMS OF EDCLID. 209 (3) If equals be taken from equals, the remainders are equal. (4) If equals be added to tmequals, the wholes are unequal. (5) If from unequals, equals be taken, the remainders are unequal....
Full view - About this book

Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 284 pages
...from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes will be equal. 4. If to unequals, equals be added, the wholes are unequal. 5. If from unequals, equals...
Full view - About this book

The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 pages
...polygon with any given number of sides expressed by 2 n -f- 1, provided, 2 n -|- 1 is a prime number. AXIOMS. 1. Things which are equal to the same thing...another. 2. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders are equal. 4. If equals be added to...
Full view - About this book

Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at...If equals be added to equals the wholes are equal. I 3. If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the...
Full view - About this book

The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1874 - 207 pages
...a polygon with any given number of sides expressed by 2n + 1, provided, 2n -(- 1 is a prime number. AXIOMS. 1. Things which are equal to the same thing...another. 2. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders are equal. 4. If equals be added to...
Full view - About this book

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...described from any centre, at any distance from that centre. Axioms. 1. Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. EXPLANATION OF TERMS AND ABBREVIATIONS. 9 3. If equals be taken from equals the remainders are equal....
Full view - About this book

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...straight line ; 3. That a circle may be described from any centre, with a radius equal to any given line. Axioms. 1. Things which are equal to the same thing...added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...point : 2. That a terminated straight line may be produced to any length in a straight line : 3. And that a circle may be described from any centre, at...the remainders are equal. 4. If equals be added to uncquala the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6....
Full view - About this book

First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...evidently true that it need not (or indeed cannot) be proved. The following are the axioms of Euclid : 1. Things which are equal to the same thing are equal...If equals be added to equals, the wholes are equal. 20. (Not given by Euclid, tut assumed by him). If the same thing be added to equals the wholes are...
Full view - About this book




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