 | Colin MacLaurin - 1756 - 480 páginas
...that, r being any whole number, A, the fum of the odd terms, will be a rational number ; and B, the fum of the terms in the even places, each of which involves...be a rational number multiplied into the quadratic furd </q. 2. Let f, the exponent of the root fought, be an odd number, as we may always fuppofe it,... | |
 | Colin MacLaurin - 1756 - 538 páginas
...с being any whole number, A, the fum of the odd terms, will be a rational number ; and B, the fum of the terms in the even places, each of which involves an odd ' power of у will be a rational number multiplied into the quadratic furd </q. 2. Let c, the exponent of the... | |
 | Colin MacLaurin - 1771 - 484 páginas
...that, c being any whole number, A, the fum of the odd terms, will be a rational number ; and B, the fum of the terms in the even places, each of which involves an cdd power of y will be a rational number multiplied into the quadratic furd Vq. 2. Let e, the exponent... | |
 | Colin MacLaurin - 1796 - 554 páginas
...that, c being any whole number, A, the fum of the odd terms, will be a rational number , and B, the fum of the terms in the even places, each of which involves...be a rational number multiplied into the quadratic furd •y. 2. Let c, the exponent of the root fought, be an odd number, as we may always fuppofe I... | |
 | John Bonnycastle - 1825 - 336 páginas
...-f- iv <i, c being any whole number, A, the sum of the odd terms, will be a rational number; and J3, the sum of the terms in the even places, each of which...rational number multiplied into the quadratic surd */q. 2. Let c, the exponent of the root sought, be an raid number, as we may always suppose it, because... | |
 | John Bonnycastle - 1829 - 372 páginas
...xf.yE=jo-f-/^/o, c being any whole number, A, the sum of the odd terms, will be a rational number ; and />, the sum of the terms in the even places, each of which involves an odd power of y, will be a rational Dumber multiplied into the quadratic surd \fq. 2. l.et c, the exponent of the root sought, be an odd... | |
 | John Bonnycastle - 1834 - 330 páginas
...belong to one of these forms, p-}-lVq, kVp-\-q, or kVp-\-lVq. And it follows that, 1. If x-^~y=p-\-l\Sq, c being any whole number, A, the sum of the odd terms,...rational number multiplied into the quadratic surd Vq. 2. Let c, the exponent of the root sought, be an odd number, as we may always suppose it, because... | |
 | John Bonnycastle - 1837 - 296 páginas
...Vp-\-q, or i v" j> + ZV ?• And it follows that, 1. ltx-\-y=p-\-l v"?, с being any whole number, Л, the sum of the odd terms, will be a rational number...involves an odd power of y, will be a rational number multiphed into the quadratic surd V q. 2. Let«, the exponent of the root sought, be an odd number,... | |
 | John Bonnycastle - 1851 - 288 páginas
...being any whole number, A, the sum of the odd terms, will be a rational number ; and B, the sum of ths terms in the even places, each of which involves an...rational number multiplied into the quadratic surd V q. 3. But if both members of the root are irrational, x^-y— (kVp-^-lVq) A and B are both irrational,... | |
| |
B, the Sum of the Terms in the even Places, each of which involves an odd Power of y will be a rational Number multiplied into the Quadratic Surd I/?2. 