Encyclopaedia Britannica: Or a Dictionary of Arts, Sciences and Miscellaneous Litterature, 1. köide,2. number1810 - 399 pages |
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Page 402
... must be added to itself as often as there are units in c , and the product therefore must be ca - cb ( Prob . I. ) . But this product is too great ; for a - b is to be multiplied , not by c , but by c - d only , which is the excefs of c ...
... must be added to itself as often as there are units in c , and the product therefore must be ca - cb ( Prob . I. ) . But this product is too great ; for a - b is to be multiplied , not by c , but by c - d only , which is the excefs of c ...
Page 404
... 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 eafily found by ...
... 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 eafily found by ...
Page 405
... 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 denominator of the ...
... 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 denominator of the ...
Page 407
... must be equal to ad the multiple of the fouth . And fince bead , by Prop . 1. a , b , c , and d , must be geometrical propor- tionals . • 5 . 2dly , If any of the numbers be fractional , all the four being multiplied by the denominator ...
... must be equal to ad the multiple of the fouth . And fince bead , by Prop . 1. a , b , c , and d , must be geometrical propor- tionals . • 5 . 2dly , If any of the numbers be fractional , all the four being multiplied by the denominator ...
Page 408
... must be refolved by the fame quanity , it remains a true propofition . Corollary to the three laft Rules . If any quantity be found on both fides of the equa- tion , with the fame fign , it may be taken away from both . ( Rule 1. ) Alfe ...
... must be refolved by the fame quanity , it remains a true propofition . Corollary to the three laft Rules . If any quantity be found on both fides of the equa- tion , with the fame fign , it may be taken away from both . ( Rule 1. ) Alfe ...
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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