THE Present State OF THE REPUBLICK OF LETTERS.: Giving a General View of the State of Learning Throughout EUROPE; and Containing Not Only an Early Account, But Accurate Abstracs of the Most Valuable Books Published in Great Britain Or Foreign Parts. Interpreted with Dissertationis on Several Curious and Entertaining Subjects; Miscellaneous Reflections on AUTHORS; and Historical Memoirs of the Lives of the Most Eminent WRITERS in All Branches of Polite Literature, Volume 17W. Innys and R. Manby, at the West End of St. Paul's, 1736 |
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Page 109
... described by the terms of an infinite pro- greffion ; but if we feek after the place of their meeting by the method propofed in that argu- ment , we must have recourse to the doctrine of prime and ultimate ratios , and find the nearest ...
... described by the terms of an infinite pro- greffion ; but if we feek after the place of their meeting by the method propofed in that argu- ment , we must have recourse to the doctrine of prime and ultimate ratios , and find the nearest ...
Page 113
... described in the Republick of Letters for January last ; * i . e . let the rectangle under E A and CD be equal to the circumfcribed figure : And let GDD be the curve , which the point D continually touches or describes . Then , as the ...
... described in the Republick of Letters for January last ; * i . e . let the rectangle under E A and CD be equal to the circumfcribed figure : And let GDD be the curve , which the point D continually touches or describes . Then , as the ...
Page 117
... described by the motion of the point C , be called x ; it will eafily be found , that , when CA the remainder of the bafe , is any aliquot part of the whole bafe , the ordinate Cd , reprefent- ing the inscribed figure , is equal to EC ...
... described by the motion of the point C , be called x ; it will eafily be found , that , when CA the remainder of the bafe , is any aliquot part of the whole bafe , the ordinate Cd , reprefent- ing the inscribed figure , is equal to EC ...
Page 118
... described . But when CA , the remainder of the base E A , is not an aliquot part of the whole bafe ; if we divide the base into as many parts as may be , fe- verally equal to CA and adjoining to it ; there will be left , adjoining to ...
... described . But when CA , the remainder of the base E A , is not an aliquot part of the whole bafe ; if we divide the base into as many parts as may be , fe- verally equal to CA and adjoining to it ; there will be left , adjoining to ...
Page 157
... described in this lemma are not finite quantities , nor yet indi- vifibles : And as thefe momenta were always ufed by Sir Ifaac Newton in the fame fenfe as at firft , it follows that the momenta in the book of Qua- dratures and in the ...
... described in this lemma are not finite quantities , nor yet indi- vifibles : And as thefe momenta were always ufed by Sir Ifaac Newton in the fame fenfe as at firft , it follows that the momenta in the book of Qua- dratures and in the ...
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Common terms and phrases
abfolutely affertion affignable againſt alfo alſo Analyfis arrive bafe baſe becauſe become actually equal cafe Cavallerius confequently confideration confidered conftant curve curvilineal figure decreafing defcribed demonftration Difcourfe difference diftinct doctrine of prime Epiftolicum evanefcat evanefcent exift expreffed expreffions faid feems fenfe fenſe feveral fhall fhew fhewn fhould fince finite quantities firft fection firſt fome fometimes fubfift fubjects fuch fufficient fumma ultima funt fuppofed himſelf Ibid imagination impoffible increment indivifibles infcribed infinitely little quantities infinitum inftant interpretation Isaac itſelf laft laſt Leibnitz Lemma Letters for November likewife manifeftly meaning method method of fluxions momenta moments muft muſt nafcent neceffary obferve paffage parallelograms perfpicuity Philalethes poffible prime and ultimate Principia propofition proportion publiſhed purpoſe Quadratures quan queftion reafon rectangle repreſented Repub Republick of Letters Robins Robins's Scholium ſenſe Sir Ifaac Newton thefe theſe thofe thoſe tion ultimate ratios underſtand underſtood uſed vanishing