 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums wili be equal. 3. If equals be taken from equals, the remainders...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. Things... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...by 2n + 1, provided, 2n -(- 1 is a prime number. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to...equal. 3. If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes will be unequal. 5. If equals be taken from... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...which are 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. Things... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...to each other. 2. If equals be added to equals, the sums will be equal. J^ 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. »... | |
 | Edward Atkins - 1874 - 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. I 3. If equals be taken from equals the remainders are equal. 4. If equals be added to unequals... | |
 | Euclides - 1874 - 342 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,... | |
 | Euclides - 1874 - 120 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... | |
 | Charles Davies - 1874 - 464 pages
...?./ each other. 2. If equals he 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 nnequals, the sums will be unequal. 5. If equala be subtracted from nnequals, the remainders will be... | |
 | Edward Atkins - 1877 - 72 pages
...any centre, at any distance from that centre. Axioms. 1. Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. EXPLANATION OF TERMS AND ABBREVIATIONS. 9 3. If equals be taken from equals the remainders... | |
 | Euclides - 1877 - 58 pages
...any centre, and 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,... | |
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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. 
