4 CATALOGUE OF NEWTON PAPERS. 



Apollonius ["very curious and fit to be published." S. Horsley, Oct. 

 26, 1777]. 



15. Remarks on the nature and objects of Arithmetic, Geometry, 

 and Mechanics. 



16. A fragment, relating to the Comparison of Curved Superficies. 



VII. MISCELLANEOUS MATHEMATICAL SUBJECTS. (Holograph, exc. 7.) 



1. Problemata Numeralia. 



2. Arithmetica Universalis. A chapter on the limits of the 

 roots of equations (see p. 184 of Leyden Ed. of Univ. Arith. 1732). 



3. De serierum proprietatibus. 



4. On Quadrature by Ordinates. 



5. Regula differentiarum &c. 



6. Bernoulli's problem on drawing lines cutting a series of 

 curves according to any given law. Phil. Trans. 1716. 



7. Errata in Dr Barrow's Conicks and in his Archimedes, with 

 a letter to Newton about the latter Errata. 



8. Scraps of calculations. 



VIII. PAPERS CONNECTED WITH THE PRINCIPIA. (Mostly Holograph.) 



A. General. 



1. Propositions on Elliptic Motion. 



2. A fragment in which Fluxions are employed in finding the 

 Centripetal force in an Orbit. 



3. Propositions afterwards included in the Principia, but 

 differently numbered. 



4. A small fragment (early) of the Principia. 



5. De Motu Corporum. 



6. Propositiones De Motu Corporum. 



The references do not agree with the Principia. 



7. Propositiones de Motu. 



Several copies differing somewhat from each other, of which 

 one is printed in Rigaud's " Historical Essay" Appendix, No 1. 



8. Corrections to copy of Propositions on Motion forming pro- 

 bably an early draft of part of the Principia. 



9. Proposed Corrections probably for 1st Edition of the Principia. 



10. On the Resistance of fluids ; account of Hauksbee's experi- 

 ments, with Newton's deductions ; chiefly rough notes. 



