| Robert Simson - Trigonometry - 1806 - 518 pages
...described from any centre, at any distance from that centre. AXIOMS. I. THINGS which are equal to the same **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. If equals be added to unequals, the wholes are unequal.... | |
| Euclides - 1814 - 558 pages
...from any centre, at any distance from that centre. AX IOM S. I. THINGS which are equal to the same **are equal to one another. II. If equals be added to equals, the wholes are equal.** ill. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals,... | |
| Euclides - 1816 - 528 pages
...described from any centre, at any distance from that centre. AXIOMS. I. THINGS which are equal to the same **are equal to one another. II. . If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...from any centre, at any distance from that centre. AXIOMS. I. THINGS which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If** equate be taken from equals, the remainders are equal. IV. If equals be added to uaequals, the wholes... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...distance from that centre. AXIOMS. I. THINGS which are equal to the same are equal to one another. **If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| George Lees - 1826 - 266 pages
...proposition. An Axiom is a self-evident truth. I AXIOMS. I. — Things which are equal to the same thing, **are equal to one another. II. — If equals be added...to equals, the wholes are equal. III. — If equals** be taken from equals, the remainders are equal. IV.— If equals be added to unequals, the wholes are... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...from that eentre. AXIOMS, I. THlNGS whieh are equal to the same thing are equal to one another, n. **If equals be added to equals, the wholes are equal. III. If equals** be taken from equal?, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...any centre at any distance from that centre. AXIOMS. I. * THINGS which are equal to the same thing, **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...from any centre, at any distance from that centre. Axioms. iTHINGS which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal.' IV. If equals be added to unequals, the wholes are... | |
| Euclid - 1835 - 540 pages
...described from any centre, at any distance from that centre. AXIOMS. I. THINGS which are equal to the same **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
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