 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 - Page 22by George Albert Wentworth, David Eugene Smith - 1913 - 470 pagesFull view - About this book
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...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... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...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... | |
 | William Frothingham Bradbury - Algebra - 1889 - 444 pages
...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... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...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... | |
 | Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 pages
...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... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...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... | |
 | Seymour Eaton - 1899 - 362 pages
...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... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...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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