 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...  Essentials of Geometry - Page xby Alfred Hix Welsh - 1883 - 267 pagesFull view - About this book
 | 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... | |
 | 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 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
...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... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...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 - Measurement - 1849 - 156 pages
...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... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...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... | |
 | Charles Davies - Geometry - 1850 - 238 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 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... | |
| |
