## A Catalogue of the Portsmouth Collection of Books and Papers Written by Or Belonging to Sir Isaac Newton: The Scientific Portion of which Has Been Presented by the Earl of Portsmouth to the University of Cambridge |

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Page v

Fluxions . . . IV . Enumeration of

Curves VI . Papers relating to Geometry . . . . . . . . ib . VII . Miscellaneous

Mathematical subjects . . VIII . Papers connected with the ' Principia . ' A . General

. . IX .

Fluxions . . . IV . Enumeration of

**Lines**of the Third Order V . On the Quadrature ofCurves VI . Papers relating to Geometry . . . . . . . . ib . VII . Miscellaneous

Mathematical subjects . . VIII . Papers connected with the ' Principia . ' A . General

. . IX .

Page xii

In the Principia he shows that if the moon ' s orbit be supposed to have no

independent eccentricity , its form will be approximately an oval with the earth in

the centre , the smaller axis being in the

In the Principia he shows that if the moon ' s orbit be supposed to have no

independent eccentricity , its form will be approximately an oval with the earth in

the centre , the smaller axis being in the

**line**of syzygies and the larger in that of ... Page xv

It may be remarked that a similar method is immediately applicable to the

problem of finding the

papers relate to the dispute with Leibnitz about the discovery of Fluxions or the

Differential ...

It may be remarked that a similar method is immediately applicable to the

problem of finding the

**line**of quickest descent . A great many of the Newtonpapers relate to the dispute with Leibnitz about the discovery of Fluxions or the

Differential ...

Page xxii

... narrow parallelograms BGhb and M Nom and their distance Mb and altitudes

MN , BG be Mm + Bb mold given , and the semi sum of their bases - ? be also

given and 2 Mm - Bb called s and their semi difference be called x : and if the 2

... narrow parallelograms BGhb and M Nom and their distance Mb and altitudes

MN , BG be Mm + Bb mold given , and the semi sum of their bases - ? be also

given and 2 Mm - Bb called s and their semi difference be called x : and if the 2

**lines**... Page xxiii

If the curve

revolution feels the least resistance of any ... then the resistance of the two

narrow annular surfaces generated by the revolution of the [ infinitely little

nN and Gg ...

If the curve

**line**DnNgG be such that the surface of the solid generated by itsrevolution feels the least resistance of any ... then the resistance of the two

narrow annular surfaces generated by the revolution of the [ infinitely little

**lines**nN and Gg ...

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1st Edition action additions alchemical alloys angulus answer antimony apogee apparently April authors bismuth Boyle Brewster calculation Cambridge chapters chemical Chronology collection Collins Comet concerning Conduitt containing copy correspondence Curves Draft Edition Edleston English erit experiments extracts Flamsteed Fluxions Fontenelle fragment Geometry given giving Halley infinitely intended interest Invenire John July June Latin lead Leibnitz letter lines Lord Lunae Lunar Theory March Mathematical matter method MISCELLANEOUS motion motus Newton Newton's hand notes observations Oldenburg orbe orbit original papers partly points Portsmouth prepared Principia printed probably PROP proposed Propositions published quam ratione receipts recipe references refraction relating remarks resistance result Royal Scrap seems Sept spirit sublimate Table Terram tract treatise University Varignon various written