 | David A. Singer - 1998 - 176 sider
...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 - 1999 - 292 sider
...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... | |
 | J. L. Heilbron - 2000 - 344 sider
...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... | |
 | Judith Cederberg - 2004 - 472 sider
...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... | |
 | Edward Grant - 2001 - 412 sider
...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 - 2004 - 576 sider
...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 - 2002 - 408 sider
...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 - 2004 - 306 sider
...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 - 2005 - 118 sider
...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 - 2006 - 378 sider
...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. ît 4. Things which coincide with one another are... | |
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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... 
