| Henry Aldrich - 1821 - 300 páginas
...reared, and as the final appeal in argument. They benr some slight analogy to the mathematical axioms, **Things which are equal to the same are equal to one another** ; and, Things of which one is equal and the other not equal to the same, are not equal to one another.... | |
| Euclid - 1822 - 179 páginas
...a circle may be described from any centre, /&, ff, at any distance from that centre. M o Axioms. 1. **Things which are equal to the same 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... | |
| Peter Nicholson - 1825 - 372 páginas
...is equal to BA : But it has been proved dial CA is equal to AB ; therefore CA, CB, are each of diem **equal to AB ; but things which are equal to the same are equal to one another** (1st Axiom.) tiierefore CA is equal to CB ; wherefore CA, AB, BC, are equal to one another j and the... | |
| Euclid, John Playfair - 1826 - 326 páginas
...(11. Definition) to AB; and beeause the point B is the eentre of the eirele ACE. BC is equal to AB : **But it has been proved that CA is equal to AB; therefore CA, CB are** eaeh of them equal to AB; now things whieh are equal to the same are equal to one another, (1. Axiom)... | |
| Euclid - 1826 - 236 páginas
...but it has been shown that CA is equal to AB : therefore CA, св, are each of them equal to AB. And **things which are equal to the same are equal to one another.** Whence CA is equal to св ; wherefore the three, CA, AB, вс, are equal to one another ; and, consequently,... | |
| Euclides - 1826 - 226 páginas
...continually produced shall meet on that side where the angles are less than two right angles. AXIOMS. 1. **Things which are equal to the same 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... | |
| Robert Simson - 1827 - 513 páginas
...because the point B is the * 1-, Deficentre of the circle ACE, BC is equal to BA: but it has nitionbeen **proved that CA is equal to AB; therefore CA, CB, are...equal to AB: but things which are equal to the same** thing are equal* to one another; therefore CA is equal to CB : wherefore CA, AB, BC are equal to one... | |
| 1827 - 610 páginas
...But what is the first axiom of Euclid, or of Geometry, as I may say, the terms being synonymous V " **Things which are equal to the same, are equal to one another."** " Very good, Sir. What the second, and what the thirdV " If equals be added to equals, the sums are... | |
| John Martin F. Wright - 1827 - 638 páginas
...But what is the first axiom of Euclid, or of Geometry, as I may say, the terms being synonymous ?" " **Things which are equal to the same, are equal to one another."** " Very good, Sir. What the second, and what the third?" " If equals be added to equals the sums are... | |
| John Martin Frederick Wright - 1827 - 344 páginas
...But what is the first axiom of Euclid, or of Geometry, as I may say, the terms being synonymous ?" " **Things which are equal to the same, are equal to one another."** " Very good, Sir. What the second, and what the third?" "If equals be added to equals the sums are... | |
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