 | 1854 - 1112 σελίδες
...never fatigue, And pleasures that never decay. Witney, Oxon. WS HOETON. LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will... | |
 | Timothy Walker - 1829 - 156 σελίδες
...axioms, and are to geometry, what the foundations are to a building. Euclid's axioms are the following : 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | Thomas Curtis - 1829 - 814 σελίδες
...word line occurs, without the addition of either straight or curved, a straight line is always meant. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Timothy Walker - 1831 - 166 σελίδες
...axioms, and are to Geometry, what the foundations are to a building. Euclid's axioms are the following : 1. Things which are equal to the same thing are equal to one another. 2. If equal sbe added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
 | John Playfair - 1835 - 336 σελίδες
...straight line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. THINGs which are equal to the same thing, are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | 1836 - 488 σελίδες
...lines, are such as are in the same plane, and which being produced ever so far both ways, do not meet. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes ere equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | Euclides - 1840 - 192 σελίδες
...straight line. • 3. That a circle may be described from any centre, with any interval from that centre. AXIOMS. 1. Things which are equal to the same thing, are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | John Playfair - 1842 - 332 σελίδες
...straight line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. THINGS which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...of all the other axioms, which, as propounded by Euclid in the first book, are the following : — 1. Things which are equal to the same thing, are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...straight line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1 . THINGS which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.... | |
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AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal.... 
