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
... 4. Since Philalethes does not perceive , how the demonftration of this Lemma can be plied to the cafe mentioned of the hyperbola , I ap- fhall shall now fhew it at large . Here the hypothefis Art . 5 . the Republick of Letters . 99.
... 4. Since Philalethes does not perceive , how the demonftration of this Lemma can be plied to the cafe mentioned of the hyperbola , I ap- fhall shall now fhew it at large . Here the hypothefis Art . 5 . the Republick of Letters . 99.
Seite 100
... shall now fhew it at large . Here the hypothefis af- fumed is a property of the hyperbola commonly , known , That the curve continually approaches its afymptote , as it is farther extended , fo that by re- moving any ordinate farther ...
... shall now fhew it at large . Here the hypothefis af- fumed is a property of the hyperbola commonly , known , That the curve continually approaches its afymptote , as it is farther extended , fo that by re- moving any ordinate farther ...
Seite 108
... shall not be perplexed or even confused ? Here let Philalethes be ask'd , where is to be found Euclide's method of dividing the bafe of a 211 curve either to measure that curve , or to com- curve 108 Art . 5 . The Prefent State of into ...
... shall not be perplexed or even confused ? Here let Philalethes be ask'd , where is to be found Euclide's method of dividing the bafe of a 211 curve either to measure that curve , or to com- curve 108 Art . 5 . The Prefent State of into ...
Seite 110
... shall be ready to explain ourselves upon any other , Phi- lalethes fhall defire . ARTI ARTICLE VI . The REMAINDER of the Paper begun in 110 The Prefent State of Art . 5 . quantities, as foon as Philaletbes fhall have ren- ...
... shall be ready to explain ourselves upon any other , Phi- lalethes fhall defire . ARTI ARTICLE VI . The REMAINDER of the Paper begun in 110 The Prefent State of Art . 5 . quantities, as foon as Philaletbes fhall have ren- ...
Seite 125
... shall be pro- pofed . XXII . Mr. Robins goes on thus . " To affert " that any collection of thefe infcribed or cir- " cumfcribed parallelograms can ever become " actually equal to the curve , " ( curvilineal fi- gure rather in ftrict ...
... shall be pro- pofed . XXII . Mr. Robins goes on thus . " To affert " that any collection of thefe infcribed or cir- " cumfcribed parallelograms can ever become " actually equal to the curve , " ( curvilineal fi- gure rather in ftrict ...
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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