 | Charles Hutton - 1811 - 406 σελίδες
...' . 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 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 - 1816 - 610 σελίδες
...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... | |
 | Edward Riddle - 1824 - 572 σελίδες
...evident 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... | |
 | Charles Hutton - 1825 - 608 σελίδες
...demonstration. 77. A Scholium, is a remark or observation made upon something going before it. 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 remainders... | |
 | 1835 - 398 σελίδες
...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 - 1836 - 394 σελίδες
...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 will... | |
 | Charles Davies - 1840 - 264 σελίδες
...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 will... | |
 | Nicholas Tillinghast - 1844 - 108 σελίδες
...demonstration. An hypothesis is a supposition. A scholium is a remark subjoined to a demonstration. Axioms. 1. Things which are equal to the same thing, are equal to each other. 2. Things which are double, triple, &c. of the same or equal things, are equal to each other. 3. Things... | |
 | Almon Ticknor - 1849 - 156 σελίδες
...supposition, made either in the enunciation of a proposition, or in the course of a demonstration. AXIOMS. — 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the whole will be equal. 3. If equals be taken from equals, the remainders will... | |
 | Charles Davies - 1850 - 218 σελίδες
...perpendicular to the base. Thus, AB is the base and CD is the altitude of the trapezoid. Of A xio in s . 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... | |
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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. 
