| Euclid - Euclid's Elements - 1789 - 296 pages
...right lines, may be produced till it meets the other. AXIOMS. 1. Things which are equal to the fame **thing are equal to each other, 2. If equals be added to equals the** wholes will be equal. 3. If equals be taken from equals the remainders will be equal. 4. If equals... | |
| Charles Hutton - Mathematics - 1816
...demonstration. 77. A Scholium, is a remark or observation made upon something going before it. AXIOMSAXIOMS. **1. THINGS which are equal to the same thing are equal to each other. 2.** \Vhnn equals are added to equals, the wholes are equal. 3 When equals are taken from equals, the remainders... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...extracted ; thus V2 means the square-root of 2 ; VA x B means the square-root of the product of A and B. **Axioms. • 1. Things which are equal to the same...each other. -2. If equals be added to equals, the** wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. . 4. If equals... | |
| Charles Davies - Surveying - 1839 - 376 pages
...connexion, their use, their restriction, or their extension. Axioms. I. Things which are equal to the **same thing, are equal to each other. 2 If equals be added to equals, the** wholes will he equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
| Charles Davies - Surveying - 1839 - 380 pages
...connexion, their use, their restriction, or their extension. Axioms. I. Things which are equal to the **same thing, are equal to each other. 2 If equals be added to equals, the** wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...Scholium is a remark on one or more preceding propositions. 17. An Axiom is a self evident truth. .. **AXIOMS. 1. Things which are equal to the same thing...to each other. 2. If equals be added to equals the** wholes will be equal. 3. If equals be taken from equals the remainders will be equal. ClOEST.— 11.... | |
| Charles Davies - Navigation - 1835 - 359 pages
...supposition, made either in the enunDESCR1PT1ON OF 1NSTRUMENTS. 21 Axioms. I. Things which are equal to the **same thing, are equal to each other. 2 If equals be added to equals, the** wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
| Scottish school-book assoc - 1845 - 434 pages
...circle may be described from any centre, and with any radius. AXIOMS. 1. Things that are equal to the **same thing are equal to 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... | |
| Nathan Scholfield - 1845 - 896 pages
...square root of the product of A and B. AXIOMS. 1 . Quantities which are equal to the same quantities, **are equal to each other. 2. If equals be added to equals, the** wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
| Charles Davies - Geometry - 1850 - 236 pages
...perpendicular to the base. Thus, AB is the base and CD is the altitude of the trapezoid. Of Axioms. **AXIOMS. 1 . Things which are equal to the same thing...to each other. 2. If equals be added to equals, the** wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
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