| Encyclopaedia Perthensis - 1807
...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
...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 - 576 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... | |
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