 | Jonathan Lear - 1988 - 356 sider
...angles. Common notions: 1 Things which are equal to the same thing are also equal to one another, 1 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... | |
 | Morris Kline - 1990 - 434 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. 4. Things which coincide with one another are equal to one another. 5. The whole is greater than the... | |
 | Clark N. Glymour - 1997 - 406 sider
...one another in either direction. Common notions 1. Things that 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... | |
 | Saul Stahl - 1993 - 320 sider
...us now examine Euclid's definition of 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. The modern reader may be puzzled by the need for... | |
 | Régis Morelon - 1996 - 430 sider
...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 with one another are equal... | |
 | Howard Whitley Eves - 1997 - 370 sider
...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 with one another are equal... | |
 | Asger Aaboe - 1963 - 154 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... | |
 | 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... | |
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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... 
