 | 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... | |
 | John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...which are equal to the fame thing are equal to each other. I 5. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders will berequal. 4. If equals be added to unequals the wholes will be unequal. 5. If equals be taken from... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...A Scholium, is a remark or observation made upon something going before it. -- 9 ' AXIOMS. AXIOMS. 1. THINGS which are equal to the same thing are equal to each other. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remains... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...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... | |
 | 1854 - 1112 pages
...LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the sums will be...be taken from equals, the remainders will be equal. This might be deduced from the former, but it is not less simple. 4. The whole is greater than its... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...to the same thing, or things, are equal to one another. 2. If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals,...remainders will be equal. 4. If equals be added to unequals, the wholes will be unequal. 5. If equals be taken from unequals, the remainders will be unequal.... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...truth. 70. A Postulate is a request to admit the possibility of performing a certain operation. AXIOMS. 1. Things which are equal to the same thing, are equal to each other. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Industrial arts - 1835 - 398 pages
...demonstration. 77. A Scholium is a remark or observation made upon something going before it. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. When equate are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 thing, are equal...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 be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
| |
AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be... 
