| 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 with one another are equal... | |
| 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 with one another are equal... | |
| 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 with one another are equal... | |
| 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 with one another are equal... | |
| 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 Books of... | |
| 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 with one another are equal... | |
| 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 with one another are equal... | |
| Constance Reid - Mathematics - 2004 - 306 pages
...47, AXIOMS AND POSTULATES OF EUCLID ° 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 with one another are equal... | |
| Chris Hayhurst - Juvenile Nonfiction - 2005 - 118 pages
...notions in book I. All five are about equality. 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... | |
| 洪萬生 - Mathematics - 2006 - 378 pages
...Й9 ) l . Things which are equal to the same thing are also equal to one another. ( $*MS) t#4ifc*Mi*) **2. If equals be added to equals, the wholes are equal. ( 3 . If equals be** subtracted from equals, the remainders are equal. īt 4. Things which coincide with one another are... | |
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