 | Euclides - 1840 - 192 sider
...length in a straight line. • 3. That a circle may be described from any centre, with any interval from that centre. AXIOMS. 1. Things which are equal...are equal. 4. If equals be added to unequals, the sums are unequal; and that is the greater sum which includes the greater of the unequal magnitudes.... | |
 | Euclides - 1846 - 272 sider
...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. 3. If from equals, equals be taken, the remainders are equal. 4. If to unequals, equals... | |
 | Charles William Hackley - 1847 - 248 sider
...remark or observation made upon something going before it, and may require a demonstration or may not. Axioms. 1. Things which are equal to the same thing are equal to one another. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Adrien Marie Legendre - 1852 - 436 sider
...extracted ; thus V2 means the square-root of 2 ; VAxB means the square-root of the product of A and B. 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 will be equal. 4. If equals be added... | |
 | Euclid, John Playfair - 1853 - 336 sider
...line. 3. And that a circle may be described from any centre, at any distance from that centre. v • ,V AXIOMS. 1 . THINGS which are equal to the same thing...are equal to one another. 2. If equals be added to squals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals... | |
 | Charles Davies - 1854 - 436 sider
...extracted ; thus V2 means the square•root of 2 ; </AXB means the square•root of the product of A and B. 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 will be equal. 4. If equals be added... | |
 | Daniel O'Gorman - 1856 - 186 sider
...infallible proof of the truth or falsity of propositions. AXIOMS. 1. — Those things which are equal to the same thing are equal to one another. 2. — If equals be added to equals, the whole shall be equal. 3. — If equals be taken from equals, the remainder will be equal. 4. — If... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 sider
...extracted ; thus V2 means the square-root of 2 ; VAxB means the square-root of the product of A and B. AXIOMS. 1. Things which are equal to the same thing,...another. 2. If equals be added to equals, the wholes will be 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals,... | |
 | Daniel O'Gorman - 1858 - 248 sider
...infallible proof of the truth or falsity of propositions. AXIOMS. 1. — Those things which are equal to the same thing are equal to one another. 2. — If equals be added to equals, the whole will be equal. 3. — If equals be taken from equals, the remainder will be equal. 4. — If... | |
 | Euclides - 1860 - 288 sider
...length in a straight line ; 3. And that a circle may be described from any centre, and with any radius. 1. Things which are equal to the same thing are equal...another. 2. If equals be added to equals, the wholes arc equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
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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... 
