CATALOGUE.— MATHEMATICS, CURVES. 



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♦Newton Tractatus de quadratura curvarum, 

 in optices ed. lat. 4. 1706. 



Newton's quadrature of curves, by Stewart. 4. 



Hobins on a proposition of Newton's quadra- 

 tures. Ph. tr. 1727. XXXIV. 230. 



Waring's problems on quadratures. Ph. tr. 

 1763. 294. 



Landen's new mode of computing areas. Ph. 

 tr. 1768. 174. 



Landen's new theorems for areas. Ph. tr. 

 1770. 441. 



M. Young on the quadrature of curves. Ir. 

 tr. 1787. 31. 



LENGTH OF CURVES. 



Craig de linearum curvarum longitudine. 

 Ph. tr. 1708. 64. 



CONSTRUCTION OF EQUATIONS. 



See Equations. 



Baker's geometrical key. 

 - Ace. Ph. tr. 1684. XIV. 549. 

 Halley de constructione problematum solido- 



rum. Ph.tr. 1686. XVI. 335. 

 Euler on the construction of equations by 



the tractory. C. Petr. VIII. 66. 



CONIC SECTIONS IN GENERAL. 



*ApoUonius Pergaeus et Serenus Halleii. f. 



Oxf. 1710. E.I. 



Ace. Ph. tr. 1717. XXX. 732. 

 Uhospital on conic sections. 4. 

 Demoivre proprietates sectionum conicarum. 



Ph.tr. 1717. XXX. 622. 

 *Simson sectiones conicae. 4. Edin. 1750. 

 Hamilton de sectionibus conicis. 4. 1758. 



R.I. 

 Emerson's cyclomathesis. V. 

 Waring's new properties of conic sections. 



Ph. tr. 1764. 193. • 



VOL. 11. 



Waring's two theorems in conies. Ph. tr, 



1765. 143. 

 Jones's properties of the conic sections. Ph. 



tr. 1773.340. 

 *Fmce's elements of conic sections. B. Camb. 



1781. R. S. ,. ., 

 Mallet de planis' aiametralibus in cono. 4. 



Ups. 1784. R. S. 

 Huilon's conic sections. 8. Lond. 1787. R. S. 

 Robertson Sectiones conicae. 4. Oxf. 1792. 



R.I. 

 Robertson's conic sections. 8. Oxf. 1802. 



R.I. 

 Walker's conic sections. 4. Lond. 1794. R. S. 

 Hellins on the rectification of the conic- sec- 

 tions. Ph. tr. 1802. 448. 



Circle. 



Gregorii circuli et hyperbolae quadratura. 4. 



Pav. 



Ace. Ph. tr. 1668. IIL 640. 

 Leibnitz on the quadrature of the circle. 



Hooke, Ph. coll. n. 6. p. 204. 

 Demoivre de sectione anguli. Ph. tr. 1722. 



XXXII. 228. 

 Jones on the relation of goniometrical lines. 



Ph. tr. 1747. XLIV. 560. 

 Vega, N. A. Petr. 1791- 



Gives the proportion of the circumference to the diame- 

 ter as far as 140 or 143 places. 



Hellins's improvement of Halley's quadra,- 

 ture of ti^e circle. Ph. tr. 1794. 217. 



Kliigel on the rectification of the circle. 

 Hind. Arch. II. 308. 



Biirmann on the rectification of the circle. 

 Hind. Arch. II. 487. 



Phzati suUa trisezione dell angolo. 8. Ven. 



1795. R. S. 



Gauss has discovered a mode of dividing the circle into 

 any prime number of pans expressible by adding i to an 

 integer power of 2. 



R 



