Encyclopaedia Britannica: Or a Dictionary of Arts, Sciences and Miscellaneous Litterature, 1. köide,2. number1810 - 399 pages |
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Page 402
... former part of the product , and the remainder , which ( by Prob . II . ) is ca - cb - da + db , will be the true product required . Def . 12. When feveral quantities are multiplied to- gether , any of them is called a factor of the ...
... former part of the product , and the remainder , which ( by Prob . II . ) is ca - cb - da + db , will be the true product required . Def . 12. When feveral quantities are multiplied to- gether , any of them is called a factor of the ...
Page 404
... former , it must be multiplied by 4 , to make the operation fucceed , and then it is as follows : When the greatest common measure of algebraical quantities is required , if either of them be fimple , any cominon fimple divifor is ...
... former , it must be multiplied by 4 , to make the operation fucceed , and then it is as follows : When the greatest common measure of algebraical quantities is required , if either of them be fimple , any cominon fimple divifor is ...
Page 405
... former pro- duct must be divided by d , and it becomes to the preceding problem . ) Or , let m , and = n . Then a = bm , and c = dn ,, and ac = bdmn , and ( mn = ) — × 2 = 6d . Rule . Multiply the numerator of the dividend by the ...
... former pro- duct must be divided by d , and it becomes to the preceding problem . ) Or , let m , and = n . Then a = bm , and c = dn ,, and ac = bdmn , and ( mn = ) — × 2 = 6d . Rule . Multiply the numerator of the dividend by the ...
Page 409
... former . Example . 1. To find a number , to which if there be Let his firft ftock be Of which he spends the first year L. there remains 100 , and This remainder is increased by a third of it- felf The fecond year he spends L. 100 , and ...
... former . Example . 1. To find a number , to which if there be Let his firft ftock be Of which he spends the first year L. there remains 100 , and This remainder is increased by a third of it- felf The fecond year he spends L. 100 , and ...
Page 423
... former , and'the remainder added to the given number , it makes br + b + cr2¬c + dr3 + d + era — e + fr $ + f , & c . = bxr + i + cxr2 = 1 + dx1 3 + 1 + exr + —It fx + 1 , & c . But ( by Lem . 2 ) r + 1 , r2 — 1 , p3 + 1 , & c . are ...
... former , and'the remainder added to the given number , it makes br + b + cr2¬c + dr3 + d + era — e + fr $ + f , & c . = bxr + i + cxr2 = 1 + dx1 3 + 1 + exr + —It fx + 1 , & c . But ( by Lem . 2 ) r + 1 , r2 — 1 , p3 + 1 , & c . are ...
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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