 | Eucleides - 1860 - 396 páginas
...in the El'tments under the form, " Magnitudes which are equal to equal's are equal to one another.'1 2. If equals be added to equals, the wholes are equal....equal. 4. If equals be added to unequals, the wholes arc unequal. 5. If equals be taken from unequals, the remainders arc unequal. 6. Magnitudes which are... | |
 | Euclides - 1860 - 288 páginas
...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,... | |
 | Euclides - 1862 - 140 páginas
...any other point. 2. That a terminated straight line may be produced to any length in a straight line. AXIOMS. 1. Things which are equal to the same thing...equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same... | |
 | Euclides - 1863 - 74 páginas
...Euclid COMMON NOTIONS. They are — 1. Things which are equal to the same thing, are equal to one anothf 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. •I. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | Euclides - 1863 - 122 páginas
...are equal to the same thing, are equal to one nnother. 2. If equals be added to equals, the wholes are equal. 4. If equals be added to unequals, the wholes are unequal. 3. It equals be taken from equals, the remainders are equal. 5. If equals be taken from uuequals, the... | |
 | Euclides - 1865 - 80 páginas
...to any given straight line. AXIOMS. 1. Things which are equal to the same thing, or to equal things, are equal to one another. 2. If equals be added to...equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double, triple,... | |
 | Edward Clarke Lowe - 1866 - 172 páginas
...straight line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. Things which are equal to the same thing...equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...straight line : 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. Things which are equal to the same thing...equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...described from any centre, at any distance from that centre. AXIOMS. 1. Tiiings which are equal to the same thing are equal to one another. 2. If equals...wholes are equal, 3. If equals be taken from equals the remamders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken... | |
 | Alexander Bain - 1870 - 474 páginas
...bearing, These axioms, made familiar to us by Euclid, have to be tried by the two tests already laid down. (3) If equals be taken from equals, the remainders...equals be added to unequals, the wholes are unequal. (5) If from unequals, equals be taken, the remainders are unequal. (6) Doubles of the same are equal.... | |
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Things which are equal to the same thing 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 are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals... 
