| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...RHOMBOID is a parallelogram whose angles are all oblique. AXIOMS. 1. Tilings 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 subtracted from equals, the remainders will be equal. 4. If equals... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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 will be equal. 4. If equals be... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...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 will be equal. 4. If equals be... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...sides. AXIOMS. 26. 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 wili be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...sides. AXIOMS. 26. 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 will be equal. 4. If equals be... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...supposed to stand. Any side may be considered the base. Axioms. 1. Things which are equal to the same **thing are equal to each other. 2. If equals be added to equals the** sums are equals. 3. If equals be taken from equals the remainders are equals. 4. If equals be added... | |
| William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...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** sums will be equal. 3. If equals be subtracted from equals, the remainders will be equal. 4. If equals... | |
| Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...to magnitudes in space, and are therefore peculiar to Geometry. AXIOMS. 1. Things equal to the same **thing are equal to each other. 2. If equals be added to equals, the** sums will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken... | |
| 1886 - 580 pages
...rto». M., 395. J. y. ^., 300. Jostf, 284. -^ Geometrical Axioms. 1. Things that 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 subtracted from equals, the remainders will be equal. 4. If equals... | |
| David Martin Sensenig - Algebra - 1889 - 388 pages
...truth. 46. The following are the principal axioms of algebra : 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 subtracted from equals the remainders will be equal. а. If equals... | |
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