 | 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... | |
 | Scottish school-book assoc - 1845 - 444 pages
...circle may be described from any centre, and with any radius. AXIOMS. 1. Things that 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 to... | |
 | Nathan Scholfield - 1845 - 894 pages
...square root of the product of A and B. AXIOMS. 1 . Quantities which are equal to the same quantities, 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 be equal. 4. If equals... | |
 | 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 will be equal. 4. If equals... | |
 | 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 will be equal. 4. If equals... | |
 | 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 will be equal. 4. If equals... | |
 | 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 will be equal. 4. If equals... | |
 | 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...each other. . 2. If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals... | |
 | 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 will be equal. 4. If equals... | |
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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. 
