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" The following are the most important axioms used in geometry: 1. If equals are added to equals the sums are equal. 2. If equals are subtracted from equals the remainders are equal. 3. If equals are multiplied by equals the products are equal. 4. If equals... "
Plane and Solid Geometry - Side 22
av George Albert Wentworth, David Eugene Smith - 1913 - 470 sider
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - 1868 - 270 sider
...based upon certain self-evident truths called AXIOMS, of which the following are the most common : — 1. If equals are added to equals the sums are equal....equals are divided by equals the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a quantity is greater than any of...
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An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 sider
...of a proposition, or in the course of a demonstration. 20, An Axiom is a self-evident truth. AXIOMS. 1. If equals are added to equals, the sums are equal....equals are divided by equals, the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a magnitude is greater than any...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 262 sider
...of a proposition, or in the course of a demonstration. 20. An Axiom is a self-evident truth. AXIOMS. 1. If equals are added to equals, the sums are equal....equals are divided by equals, the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a magnitude is greater than any...
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Bradbury's Elementary Algebra

William Frothingham Bradbury - 1877 - 302 sider
...based upon certain self-evident truths called AXIOMS, of which the following are the most common : — 1. If equals are added to equals the sums are equal....equals are divided by equals the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a quantity is greater than any of...
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The Academic Algebra

William Frothingham Bradbury - 1889 - 444 sider
...based upon certain self.evident truths called AXIOMS, of which the following are the most common : 1. If equals are added to equals the sums are equal....equals are divided by equals the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a number is greater than any of...
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Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 508 sider
...the following axioms : 1. If to equals we add equals the sums are equal. 2. If from equals we take equals the remainders are equal. 3. If equals are...equals are divided by equals the quotients are equal. 70. Consider the equation 1x = 14. It is required to find what numerical value x must have consistent...
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Algebra for Beginners

Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 sider
...the following axioms : 1. If to equals we add equals the sums are equal. 2. If from equals we take equals the remainders are equal. 3. If equals are multiplied by equals the products are equaL 75. Consider the equation 7x = 14. It is required to find what numerical value x must have to satisfy...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 548 sider
...the following axioms : 1. If to equals we add equals, the sums are equal. 2. If from equals we take equals, the remainders are equal. 3. If equals are...equals are divided by equals, the quotients are equal. 77. Consider the equation 7 x = 14. It is required to find what numerical value x must have consistent...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 sider
...the following axioms : 1. If to equals we add equals, the sums are equal. 2. If from equals we take equals, the remainders are equal. 3. If equals are...equals are divided by equals, the quotients are equal. Any term may be transposed from one side of an equation to the other by changing its sign. Thus : 3...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - 1903 - 392 sider
...or in the course of a demonstration. 20. An Axiom is a self-evident truth. AXIOMS. 1. If equals be added to equals, the sums are equal. 2. If equals...equals are divided by equals, the quotients are equal. 5. Like powers and like roots of equals are equal. 6. The whole of a magnitude is greater than any...
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