SECTION I. MATHEMATICS. 6 



3. On the curves of the third order, produced by the projections 

 of the Parabola Neiliana. 



4. Fragments concerning lines of the third order, and some mis- 

 takes of Descartes ["not worth publishing." S. Horsley, Oct. 23, 



1777]. 



V. ON THE QUADRATURE OF CURVES. (Holograph.) 



1. A copy which appears to be pretty complete. 



2. A fragment on the same subject. 



3. Scattered papers on the same subject, in great confusion 



4. Another fragment on the same. 



5. Note on Quadrature of Curves, intended as a Supplement to 

 Section 10 of Book I. of the Principia. 



6. Fragment on the Quadrature of Curves whose equations con- 

 sist of but three terms. 



VI. PAPERS RELATING TO GEOMETRY. (Holograph.) 



1. De Problematum resolutione Synthetica. 



2. Geometria. Liber 1. A fragment. 



3. Geometry, a fragment on Porisms. 



4. Analysis Geometrica. 

 Regula Datorum. 



5. Newton's Regula Fratrum. 



6. Fragment relating to Curves. 



7. Geometria Curvilinea and Fluxions. 



8. Scraps containing Propositions in Geometry ; viz. : 



(a) To describe a Conic Section through five given points ; 



and 



(b) To describe a Conic Section passing through two points 



and touching three given straight lines. 



9. Tract on the construction of Equations, unfinished. 



10. On the Properties of Curves. 



11. Part of a Treatise on Geometry (in Latin). 



12. De Compositione Locorum Solidorum. 



13. Solutio Problematis Veterum de Loco Solido. 



14. Fragments relating to the writings of the Ancients in 

 general, but especially to the Porisms of Euclid, and the Loci of 



12 



