 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 Guilford Burnham - 1850 - 350 pages
...more common use in this work, see Art. 54, or Part I. AXIOMS An axiom is a self-evident proposition. 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. 8. If equals be taken from equals, the remainders... | |
 | Janet Taylor - Nautical astronomy - 1851 - 674 pages
...simple operation. A proposition is a general term signifying cither a problem or a theorem. 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 Davies - Geometry - 1886 - 340 pages
...and the altitude is a line drawn from the opposite side or angle, perpendicular to the base. AX1OMS. 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 Guilford Burnham - Arithmetic - 1857 - 328 pages
...or quantities on one side of the sign of equality. AXIOMS An axiom is a -self-evident proposition. 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... | |
 | Elias Loomis - Conic sections - 1857 - 242 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 are added to equals, the wholes are equal. 3. If equals are taken from equals, the remainders... | |
 | Elias Loomis - Conic sections - 1858 - 256 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 are added to equals, the wholes arje equal. 3. If equals are taken from equals, the remainders... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...Axiom is a truth which is self-evident, — neither admitting nor requiring any demonstration; 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...are called homologous sides or angles. AXIOMS. 34. An AXIOM is a self-evident trath ; 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...are called homologous sides or angles. AXIOMS. 34. An 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...are called homologous sides or angles. AXIOMS. 34. An 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... | |
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