 | Aristotle, Thomas Taylor - 1801 - 482 σελίδες
...and at the fame time denied, of the fame : alfo, that which is employed by geometry, viz. that thofe things which are equal to the fame thing are equal to each other; that which the natural philofopher ufes, that nothing can be generated from that which is not; and... | |
 | Timothy Walker - 1829 - 156 σελίδες
...just proved that AHG=HG D. Consequently FHB=HGD ; each being equal to AHG ; for it is an axiom that things which are equal to the fame thing are equal to each other. 35 . THEOREM. When two parallels are crossed by a straight line, the sum of the two interior angles... | |
 | Charles Davies - 1839 - 376 σελίδες
...connexion, their use, their restriction, or their extension. Axioms. I. Things which are equal to the same thing, are equal to each other. 2 If equals be added to equals, the wholes will he equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to... | |
 | Scottish school-book assoc - 1845 - 444 σελίδες
...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... | |
 | Almon Ticknor - 1849 - 156 σελίδες
...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 Guilford Burnham - 1850 - 350 σελίδες
...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 be added to unequals,... | |
 | Charles Davies, William Guy Peck - 1857 - 608 σελίδες
...tests of equality between two quantities : 1. Things which are equal to the tame or to equal things, 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. Like parts... | |
 | James B. Dodd - 1859 - 368 σελίδες
...— 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 will be equal. 4. If equals be... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...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 will be equal. 4. If equals be... | |
 | Benjamin Greenleaf - 1862 - 532 σελίδες
...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... | |
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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... 
