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, Band 17W. Innys and R. Manby, at the West End of St. Paul's, 1736 |
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Seite 99
... curve in the fecond Lemma ? Sect . X. § . r . Where has Mr. Robins admitted , that any quantities whatever will become actually equal at the end of the finite time referred to in the Lemma ? If he has not , how has he allowed of ...
... curve in the fecond Lemma ? Sect . X. § . r . Where has Mr. Robins admitted , that any quantities whatever will become actually equal at the end of the finite time referred to in the Lemma ? If he has not , how has he allowed of ...
Seite 100
... curve continually approaches its afymptote , as it is farther extended , fo that by re- moving any ordinate farther and farther from the vertex , it will approach nearer and nearer in mag- nitude to the fame continued to the afymptote ...
... curve continually approaches its afymptote , as it is farther extended , fo that by re- moving any ordinate farther and farther from the vertex , it will approach nearer and nearer in mag- nitude to the fame continued to the afymptote ...
Seite 104
... curve its tangent may meet the curve again in fome other point : and at fuch point the quantities , by whofe ultimate ratio the fituation of the tangent is determined , will bear that ratio , which is called their ultimate . And fince ...
... curve its tangent may meet the curve again in fome other point : and at fuch point the quantities , by whofe ultimate ratio the fituation of the tangent is determined , will bear that ratio , which is called their ultimate . And fince ...
Seite 107
... curve , as is required ; at the end of half an hour the base will indeed be divided into two equal parts ; at the end of three quarters of an hour one of thofe parts will again be divided . G 3 into into two halves ; at the end of of an ...
... curve , as is required ; at the end of half an hour the base will indeed be divided into two equal parts ; at the end of three quarters of an hour one of thofe parts will again be divided . G 3 into into two halves ; at the end of of an ...
Seite 108
... curve ; it is a wrong affertion , that Sir Isaac Newton fays not one word of continual divifion or fubdivifion into parts of the base of the figure . Sect . XVI . § . 1 , 2. Befides what has already been faid upon this pretended ...
... curve ; it is a wrong affertion , that Sir Isaac Newton fays not one word of continual divifion or fubdivifion into parts of the base of the figure . Sect . XVI . § . 1 , 2. Befides what has already been faid upon this pretended ...
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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