 | Charles Hutton - Mathematics - 1811 - 406 pages
...' . 77. 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. 3. When equals are taken from equals, the remains are equal. \ 4. When equals are added to unequals, the wholes are unequal. 5. When equals are... | |
 | Encyclopaedia Perthensis - 1816 - 772 pages
...before mentioned. AXIOMS. i. Things which are equal to the fame thing,arc equal to one another. i. When equals are added to equals, the wholes are equal....are taken from equals, the remainders are equal, 4. Wlren equals are added to unequals, the wholes are unequal. 5. When equals are taken fronj unequala,... | |
 | Encyclopedias and dictionaries - 1816 - 764 pages
...before mentioned. AXIOMS. I. Things which are equal to the fame thing arc equal to one another. a. When equals are added to equals, the wholes are equal. , 3. When equals are taken fronrequals, the remainders are equal. 4. When equals are added to unequals, the wholes are unequal.... | |
 | 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... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...observation made upon something going before it. AXIOMS. AXIOMS. 1 . THINGS which are equal to the game thing are equal to each other. 2. When equals are...added to equals, the wholes are equal. 3. When equals ere taken from equals, the remainders are equal. 4. When equals are added to unequala, the wholes are... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...demonstration. 77. A Scholium, is a remark or observation made upon something going before it. 281 AXIOMS. 1. THINGS which are equal to the same thing...to each other. 2. When equals are added to equals, tliç wholes are equal. 3. When equals are taken from equals, the remainder« are equal. 4. When equals... | |
 | Charles Hutton - Mathematics - 1831 - 660 pages
...from some preceding truth, or demonstration. ^AXIOMS. 1. THINGS which are equal to the aame thing &re equal to each other. 2. When equals are added to equals, the wholes are equal. 3. Wheu equals are taken from equals, the remainders are equal. 4. When equals are added to unequals,... | |
 | Industrial arts - 1835 - 398 pages
...truth or 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
...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 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... | |
 | 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 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... | |
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When equals are taken from unequals, the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 
