 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes will be 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... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...of length, breadth, and thickness. AXIOMS. 1 . Things -which are equal to the Bame thing, are equa 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... | |
 | Charles Davies - 1874 - 464 pages
...thickness. AXIOMS. 1. Til1ngs which are equal to the same thing, are equa ?./ 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... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes will be 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... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...supposition made in the enunciation of a proposition, or in the course of a demonstration. 46. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. When equals are added to equals the sums are equal. 3. When equals are taken from equals the remainders... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...supposition made either in the statement of a proposition or in the course of a demonstration. AXIOMS. 1. Things which are equal to the same thing are equal...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... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...figure is that side upon which it is supposed to stand. Any side may be considered the base. Axioms. 1. Things which are equal to the same thing are equal...each other. 2. If equals be added to equals the sums are equals. 3. If equals be taken from equals the remainders are equals. 4. If equals be added to unequals... | |
 | James Bates Thomson - Algebra - 1878 - 322 pages
...2 = what ? 15. 26 -r- (x — b) + axbxy + zz = what ? AXIOMS. 59. An Axiom is a self-evident truth. 1. Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are... | |
 | George Albert Wentworth - Algebra - 1881 - 400 pages
...reciprocals of each other whep their product is equal to unity. Thus, a and - are reciprocals. a AXIOMS. 43. 1. Things which are equal to the same thing are equal to each other. 2. If equal numbers be added to equal numbers, the sums will be equal. 3. If equal numbers be subtracted... | |
 | George Albert Wentworth - 1881 - 266 pages
...supposition made in the enunciation of a proposition, or in the course of a demonstration. 46. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. When equals are added to equals the sums are equal. 3. When equals are taken from equals the remainders... | |
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AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal. 
