 | Encyclopaedia Perthensis - 1807 - 758 pages
...have had their figns changed uy the transformation; but if the lefult has an oppofite fi^-n to that of the given abfolute term, the figns of an odd number...pofitive roots muft have been changed. In the firft cafe, thenj the quantity fubftituted muft have been either greater than each of an even number of the pofitive... | |
 | Encyclopedias and dictionaries - 1816 - 756 pages
...have had their fipns changed by the transformation ; but if the refult has an oppofite iign to that of the given abfolute term, the figns of an odd number of the politive roots mud have been changed. In the firlt cafe, then, the quantity fubflittited n.nft have... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...of the positive roots must have been changed. In the first case, then, the quantity substituted must have been either greater than each of an even number of the positive roots of the given equation, or less than any of them; in the second case, it must have been... | |
| |
... that of the given abfolute term, the figns of an odd number of the pofitive roots muft have been changed. In the firft cafe, then, the quantity fubftituted muft have been either greater than each of an even number of the pofitive roots of the given... 