 | Régis Morelon - Science - 1996 - 430 pages
...with each other. These axioms are as follows: 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... | |
 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...together less than two right angles. Common 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... | |
 | Asger Aaboe - History - 1963 - 154 pages
...less than the two right angles. Common 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... | |
 | David A. Singer - Mathematics - 1998 - 176 pages
...I quote from [18], pp. 154-155: COMMON 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... | |
 | Nick Huggett - Philosophy - 1999 - 292 pages
...less than the two right angles. Common 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... | |
 | J. L. Heilbron - History - 2000 - 344 pages
...Table 2.3.2. Table 2.3.2 Euclid's common notions l. 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... | |
 | Judith Cederberg - Mathematics - 2004 - 472 pages
...than the two right angles. The Common 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... | |
 | Edward Grant - Education - 2001 - 412 pages
...Sir Thomas L. Heath's translation, Euclid has (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"; and (3) "If equals be subtracted from equals, the remainders are equal." See The Thirteen... | |
 | John Stillwell - Mathematics - 2004 - 576 pages
...less than the two right angles. Common 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... | |
 | Audun Holme - Mathematics - 2002 - 408 pages
...the following: Euclid's Common Notions or Axioms 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... | |
| |
AXIOMS. 1. Things which are equal to the same thing 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 are equal. 
