Mathematical lucubrations : containing new improvements in various branches of the mathematics. London : printed for J. Nourse, 1755
Content
PDF [1]Front cover
PDF [7]Title page
PDF [9]To the right honourable Henry Earl of Lincoln [...].
PDF [11]Preface.
PDF [15]Part I. An investigatoin of a remarkable property of triangles described in a certain manner about a circle or an ellipsis.
PDF [39]Part II. Some theorems relating to the conic sections investigated.
PDF [44]Part III. Of the cycloid.
PDF [47]Part IV. Of the catenary.
PDF [51]Part V. The investigation of a theorem relating to the circle, by means whereof the sums of a great number of infinite series are computed.
PDF [61]Part VI. The doctrine of fluxions apply'd to the finding the roots of some adfected equations.
PDF [71]Part VII. Sundry theorems of use in the doctrine of fluxions.
PDF [126]Part VIII. Of fluents and the sums of series.
PDF [138]Part IX. Of the sums of series.
PDF [154]Part X. Of fluents and the limits of certain products consisting of an infinite number of factors.
PDF [164]Part XI. Some useful conclusions deduced from certain theorems investigated above.
PDF [171][Plates.]