Encyclopaedia Britannica: Or a Dictionary of Arts, Sciences and Miscellaneous Litterature, 1. köide,2. number1810 - 399 pages |
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Page 404
... last divifor by its remainder , till no re- mainder is left , and the last divifor is the greatest common meafure required . The greateft common measure of 45 and 63 is 9 ; the greatest common measure of 187 and 391 is 17 . Thus , 45 ...
... last divifor by its remainder , till no re- mainder is left , and the last divifor is the greatest common meafure required . The greateft common measure of 45 and 63 is 9 ; the greatest common measure of 187 and 391 is 17 . Thus , 45 ...
Page 406
... last quotient is alfo expreffed by a − x + α 2a2 " a + x2 • CHA P. II . Of Proportion . Cor . 1. Of four arithmetical proportionals , any three Of Propor being given , the fourth may be found . Thus , let a , b , c , be the 1ft , 2d ...
... last quotient is alfo expreffed by a − x + α 2a2 " a + x2 • CHA P. II . Of Proportion . Cor . 1. Of four arithmetical proportionals , any three Of Propor being given , the fourth may be found . Thus , let a , b , c , be the 1ft , 2d ...
Page 411
... last conclufion , fo that no general rules for like cafes can be deduced from them . But if letters are unknown , a general folution may be obtained , because , used to denote the known quantities , as well as the during the whole ...
... last conclufion , fo that no general rules for like cafes can be deduced from them . But if letters are unknown , a general folution may be obtained , because , used to denote the known quantities , as well as the during the whole ...
Page 420
... last square , therefore r2x2 — 2rxa + a ' — a3 — x ' r2x2 + x = 2rxa r2x + x = 2ra X = and 2 Indetermi- nate Pro- blems . Alfo , if and 2 2 2 + v For the product of two odd numbers is odd , and that of two even numbers is divifible by 4 ...
... last square , therefore r2x2 — 2rxa + a ' — a3 — x ' r2x2 + x = 2rxa r2x + x = 2ra X = and 2 Indetermi- nate Pro- blems . Alfo , if and 2 2 2 + v For the product of two odd numbers is odd , and that of two even numbers is divifible by 4 ...
Page 421
... last terms is equal to the fum of any two interme- from the end ; and the product of any two such is equal Demon- ftration of diate terms , equally distant from the extremes . to ar , the product of the first and last . Theorems . Let ...
... last terms is equal to the fum of any two interme- from the end ; and the product of any two such is equal Demon- ftration of diate terms , equally distant from the extremes . to ar , the product of the first and last . Theorems . Let ...
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Common terms and phrases
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