| Euclid - Euclid's Elements - 1789 - 272 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... | |
| 1827
...centre equal to any right line not terminated in the centre. AXIOMS. 1. THINGS which are equal to the **same thing, are equal to each other. 2. If equals be added to equals, the** wholes are equals. 3. If equals be taken away from equals, the remainders are equal. Note (q). It follows,... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...VA x B means the square-root of the product of A and B. Axioms. • 1. 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 - Surveying - 1839 - 261 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 - 261 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 - 252 pages
...preceding propositions. 17. An Axiom is a self evident truth. .. AXIOMS. 1. 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. 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... | |
| Charles Davies - Geometrical drawing - 1844 - 252 pages
...preceding propositions. 17. An Axiom is a self evident truth. AXIOMS. 1. 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. Q.UEST.— 11.... | |
| 1845
...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... | |
| 1845
...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... | |
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