 | Wales Christopher Hotson - 1842 - 306 pages
...discovered is, that any change may be made in its members which does not aflect their equality. Hence, (1) The same quantity may be added to, or subtracted from, both sides of an equation. (2) Any term may be transferred from one side of an equation to the other, its sign being changed :... | |
 | Robert Fowler - 1861 - 426 pages
...to one another, any the same multiples, or the same parts of them must be equal to one another. ii. The same quantity may be added to, or subtracted from, both sides of an equation, without destroying their equality. This is also true, for, if equals be added to, or taken from, equals,... | |
 | 1894 - 834 pages
...Arabian, and most of the mediaeval works on algebra. Algebr, the restoration, refers to the fact that any the same quantity may be added to or subtracted from both sides of an equation; al mukabala means the process of simplification, used in connection with the combination of like terms... | |
 | Charles Scott Venable - Algebra - 1880 - 168 pages
...be multiplied or divided by the same number, and the equality still subAXIOM 2. — The same number may be added to or subtracted from both sides of an equation, and the equality still subsists. 60. Transposition. — To transpose a term is to change it from one... | |
 | American Association for the Advancement of Science - American periodicals - 1892 - 614 pages
...muJcubala, we have the name of that branch of mathematics under consideration, Al-gebr signifying that the same quantity may be added to or subtracted from both sides of an equation. He treats only numerical equations, and no distinction is made between arithmetic and algebra. This... | |
 | American Association for the Advancement of Science - Science - 1892 - 604 pages
...mukabala, we have the name of that branch of mathematics under consideration, Al-gebr signifying that the same quantity may be added to or subtracted from both sides of an equation. Alkarismi treats the quadratic, giving geometric proof of rules for the solution of different cases,... | |
 | American Association for the Advancement of Science - 1892 - 606 pages
...mukabala, we have the name of that branch of mathematics under consideration, Al-gebr signifying that the same quantity may be added to or subtracted from both sides of an equation. Alkarismi treats the quadratic, giving geometric proof of rules for the splutiou of different cases,... | |
 | Mansfield Merriman, Robert Simpson Woodward - Mathematics - 1896 - 616 pages
...whatever A, B, C may represent, we have We shall also assume that we always have A — A — o, and that the same quantity may be added to or subtracted from both sides of an equation without affecting the equality. Now let/,,/, be two points, and consider the equation A+AA=A + (AA)=A-... | |
 | Walter William Rouse Ball - Mathematics - 1901 - 580 pages
...is derived, may be translated by the rentorution and refers to the fact that an}' the same magnitude may be added to or subtracted from both sides of an equation ; al mukabala means the process of simplification and is generally used in connection with the combination... | |
 | Joseph Victor Collins - Algebra - 1908 - 442 pages
...Arabia. The full title of the first Arabic work on algebra was " Al-gebr we'l mukabala." It means that the same quantity may be added to or subtracted from both sides of an equation. (Al means the, as in other Arabic words, such as almanac, alchemy.) Thus, the thought in the minds... | |
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The same quantity may be added to, or subtracted from, both sides of an equation. To... 
