 | John Mason Good - 1813 - 714 σελίδες
...BookV. Aiiomt. — I. Equimultiples of the same, or of equal magnitudes, are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another. 4. That magnitude of which a multiple is greater than the same multiple uf... | |
 | Euclid - 1822 - 222 σελίδες
...series as the first to the last in the other. Prop. 38. Axioms. See N. 1- Equi-multiples of the same or of equal magnitudes are equal-' 2. Those magnitudes...another, is greater than that other magnitude. PROP. I. THEOR. If there be given two equal magnitudes (BC and DE), as often as any third magnitude (A) is contained... | |
 | Euclides - 1826 - 226 σελίδες
...page 167. AXIOMS. 1. " Equimultiples of the same, or of equal magnitudes, are equal to one another." 2. " Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another." 3. " A multiple of a greater magnitude is greater than the same multiple... | |
 | Euclid - 1826 - 234 σελίδες
...: : D r AXIOMS. 1. " Equimultiples of the same, or of equal magnitudes, are equal to one another." 2. " Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another." 3. " A multiple of a greater magnitude is greater than the same multiple... | |
 | Pierce Morton - 1830 - 584 σελίδες
...(Eue. v. Ax. 1, 2, 3, 4.) 1. Equimultiples of the same or of equal magnitudes are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of... | |
 | John Playfair - 1835 - 336 σελίδες
...of Book 5. AXIOMS. 1. EQUIMULTIPLES of the same, or of equal magnitudes, are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of... | |
 | 1835 - 684 σελίδες
...(Eue. v. Ax. l, 2, 3, 4.) J, Equimultiples of the same or of equal magnitudes are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of... | |
 | 1836 - 488 σελίδες
...definition. AXIOMS. 1. Equimultiples of the same or of equal mag. nitudes, are equal to one another. 2. Those magnitudes of which the same or equal magnitudes, are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of... | |
 | Andrew Bell - 1837 - 290 σελίδες
...and B by m. AXIOMS. 1. Equimultiples of the same, or of equal magnitudes, are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of... | |
 | John Playfair - 1837 - 332 σελίδες
...of Book 5. AXIOMS. 1. EQUIMULTIPLES of the same, or of equal magnitudes, are equal to one another. 2. Those magnitudes of which the same, or equal magnitudes, are equimultiples, are equal to one another. " 3. A multiple of a greater magnitude is greater than the same multiple... | |
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AXIOMS. 1. Equimultiples of the same, or of equal magnitudes, are equal to one another. 2. Those magnitudes, of which the same or equal magnitudes are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same... 
