 Axioms. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the wholes are equal. 3. If equals are taken from equals, the remainders are equal.  Elements of Plane Geometry - Page 14by Franklin Ibach - 1882 - 196 pagesFull view - About this book
 | Clarence Addison Willis - Geometry, Modern - 1922 - 318 pages
...kind. Complete the statement of the axioms which are left incomplete. AXIOMS 1. Things equal to the same thing are equal to each other. 2. If equals are...are equal. 3. If equals are subtracted from equals, . 4. If equals are multiplied by equals, . 5. If equals are divided by equals, . 6. If equals are added... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...geometry, with a few additional ones. 1. Quantities, which are equal to the same, or equal quantities, are equal to each other. 2. If equals are added to equals, their sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals... | |
 | Education - 1927 - 430 pages
...straight line is parallel to one side of a triangle and bisects another side, it bisects the third side. 2. If equals are added to equals the sums are equal. 3. If a straight line is parallel to one of two parallels, it is parallel to the other also. 4. If two parallel... | |
 | Douglas Waples - Education, Secondary - 1927 - 648 pages
...straight line is parallel to one side of a triangle and bisects another side, it bisects the third side. 2. If equals are added to equals, the sums are equal. 3. If a straight line is parallel to one of two parallels, it is parallel to the other also. Form 1, Grades... | |
 | William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 672 pages
...general statements about quantity and logic.5 COMMON NOTIONS 1 . Things equal to the same thing are also equal to each other. 2. If equals are added to equals, the results are equal. 3. If equals are subtracted from equals, the results are equal. 4. Things that coincide... | |
 | Leonard Mlodinow - Science - 2010 - 326 pages
...the need to make such statements at all: /. Two things which are both equal to a third thing are also equal to each other. 2. If equals are added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which... | |
 | William Byers - Mathematics - 2010 - 424 pages
...self-evident truths that were of a very general nature. They included 1. Two things that are equal to a third thing are equal to each other. 2. If equals are added...equal. 3. If equals are subtracted from equals the differences are equal. 4. Things which coincide with one another are equal to one another. 5. The whole... | |
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