Encyclopaedia Britannica: Or a Dictionary of Arts, Sciences and Miscellaneous Litterature, 1. köide,2. number1810 - 399 pages |
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Page 417
... discovered . When a question can be fo ftated as to produce a pure equation , it is generally to be preferred to an ad- fected . Thus the question in the preceding section , by the most obvious notation , would produce an adfected ...
... discovered . When a question can be fo ftated as to produce a pure equation , it is generally to be preferred to an ad- fected . Thus the question in the preceding section , by the most obvious notation , would produce an adfected ...
Page 421
... a series of terms , which may be continued ad infinitum . By comparing a few of the firft terms , the law of the progreffion of fuch a fe- ries Theorems . Demon ries will frequently be discovered , by Demon- Part I. 421 ALGEBRA .
... a series of terms , which may be continued ad infinitum . By comparing a few of the firft terms , the law of the progreffion of fuch a fe- ries Theorems . Demon ries will frequently be discovered , by Demon- Part I. 421 ALGEBRA .
Page 422
... discovered , by which it may be tration of continued without any farther operation . When this cannot be done , the work is much facilitated by feve- ral methods ; the chief of which is that by the binomial theorem . THEOREM . Any ...
... discovered , by which it may be tration of continued without any farther operation . When this cannot be done , the work is much facilitated by feve- ral methods ; the chief of which is that by the binomial theorem . THEOREM . Any ...
Page 424
... discovered . Ex . 2. An equation of the following quadratic form a2x2bac may be refolved by logarithms . it , by fcholium of Chap . V. a + b + c . And then x is difcovered in the fame manner as in the pre- ceding example . Thus , let a ...
... discovered . Ex . 2. An equation of the following quadratic form a2x2bac may be refolved by logarithms . it , by fcholium of Chap . V. a + b + c . And then x is difcovered in the fame manner as in the pre- ceding example . Thus , let a ...
Page 429
... discovered , and by investigating the component fimple equations , the roots of any higher equation are found . Cor . 1 . An equation admits of as many folutions , or has as many roots as there are fimple equations which compofe it ...
... discovered , and by investigating the component fimple equations , the roots of any higher equation are found . Cor . 1 . An equation admits of as many folutions , or has as many roots as there are fimple equations which compofe it ...
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affiftance againſt alfo Algiers almoft alſo America ancient arteries becauſe befides blood body bones British cafe called calyx cartilages caufe cavity chyle colour compofed confequence confiderable confifts courfe defcribed difcovered dura mater equation expreffed faid falt fame fays fecond feems feen fent feparated ferve feven feveral fhips fhould fide figns fimple firft firſt fituation fize fmall folution fome fometimes foon fpecies fquare ftate ftill ftomach ftone fubftance fubject fuch fufficient fuperior fupply fuppofed furface himſelf ifland itſelf lacteals laft lefs ligament likewife Lord Cornwallis meaſure membrane moft moſt mufcles muft muſcles muſt neceffary neral nerves obferved occafion offa oppofite paffage pafs perfon pofitive pofterior prefent procefs proportional equation purpoſe quantity raiſed reafon refemblance refolved refpect reprefented roots ſmall thefe themſelves theſe thofe thoracic duct thoſe tibia tion troops ufually ulna uſed veffels veins vertebræ weft whofe