 | Oliver Spencer Munsell - History - 1871 - 368 pages
...and contradiction. For example, take the first, second, and third axioms ; I quote from Robinson : " 1. Things which are equal to the same thing are equal to each other ; " " 2. When equals are added to equals, the wholes are equal ; " " 3. When equals are taken from equals, the... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...: length, breadth, and thickness. AXIOMS. • 1. Thmgs which are equal to the same thing, are equa to each other. 2. If equals be added to equals, the sums will be equal. 3 If equals be subtracted from equals, the remainders w^ll be equal. 4. If equals be added to unequal?, the sums will... | |
 | Charles Davies, William Guy Peck - Mathematics - 1872 - 602 pages
...tests of equality between two quantities : 1. Things which are equal to the same or to equal things, are equal to each other. 2. If equals be added to equals the sumt will be equal. 3. If equals be subtracted from equals the remainders will be equal. 4. Like parts... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...base which is not equal to either of the other sides. AXIOMS. 26. An Axiom is a self-evident truth ; such as, — 1. Things which are equal to the same...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... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...are self-evident truths. Algebraic reasoning is based upon definitions and the following axioms : 1- If equals be added to equals, the sums will be equal. 3. // equals be multiplied by equals, the products will be equal. 4. If equals be divided by equals, the... | |
 | 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... | |
 | 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... | |
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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. 
