 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be subtracted from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be subtracted from unequals, the remainders will be unequal. 6.... | |
 | Moffatt and Paige - 1879 - 428 pages
...any centre, at any distance from that centre. AXIOMS. (1) Things that 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... | |
 | Euclides - 1879 - 146 pages
...from any centre, at any distance from that centre. AXIOMS. 1. 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... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...centre, with a radius equal to any given line. Axioms. 1. 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 subtracted from equals, the remainders are equal. 4. If equals be added... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...from any centre, at any distance from that centre. AXIOMS. 1. 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 uncquala... | |
 | T S. Taylor - 1880 - 152 pages
...cannot) be proved. The following are the axioms of Euclid : 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 20. (Not given by Euclid, tut assumed by him). If the same thing be added to equals the... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...describing of a circle from any centre with any radius. AXIOMS. 1. 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,... | |
 | Euclides - 1883 - 176 pages
...and Propositions I. 2 and I. 3 may be omitted. Axioms. 1. 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...from any centre, at any distance from that centre AXIOMS. 1. 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 bo added to unequals... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...1. Things equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals,...will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Doubles... | |
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AXIOMS. 1. 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. 
