128 



CATALOGUE. — MATHEMATICS, CURVES. 



Briakley on the sines of multiple arcs. Ir. tr, 



VII. 27. 

 Brinkley on Cotes's property of the circle. 



Ir.tr. VII. 151. 

 Montuclaand Lalande. IV. 6l9. 



Ellipsis. 



Euler on finding the axes of an ellipsis from 

 its diameters. N. C. Petr. III. 234. 



Vince on the oval lathe. Ph. tr. 1780. 378. 



Ivory on the rectification of the ellipsis. Ed. 

 tr. IV. 177. 



Wallace on elliptic arcs. Ed. tr. V. 251. 

 If a and b be the diameters, the circuraferencc will be 



nearly equal to that of a circle of which the diameter is 



i(o + i + v'9(aa+M)). Hutton. 



Hyperbola. 



Brauncker's squaring of the hyperbola. Ph. 



tr. 1668. III. 645. 

 W^ren on a hyperbolic cylindroid. Ph. tr. 



1669. IV. 96^1. 

 Gregory on the hyperbola, in answer to Huy- 



gens. Ph. tr..l668. IIL 732. 882. 

 Klingenstierna Curvarum hyperbolicarum 



quadratura. Ph. tr. 1731. XXXVII. 45. 

 Landen on the arc of the hyperbola. Ph. tr. 



1775.283. 



ALGEBRAICAL CUltVES. 



F7mRi de locis solidis. f. J 701. 



Extr. Ph. tr. 1704. XXIV. l607. 

 •Newton de lineis tertii ordinis. 4. With the 



Optice. 1706. 

 Demoivre on a curve of the third order. Ph. 



tr. 1715. XXIX. 329. 

 fGrandi flores geometriae. Ph. tr. 1723. 



XXXII. 355. 

 Bragelonge on lines of the fourth order. A P. 

 Stone on two lines of the third order, omitted 



by Newton and by Stirling. Ph. tr. 1 740. 



XLI. 318. 

 Castilioneus de curva cardioide. Ph.tr- 1741. 



XLI. 778. 

 Pemberton on the locus for three and four 



lines. Ph. tr. 1763. 496. 

 ^rar/wg proprietates algebraicarum curvarum. 



4. R. S. 



MECHANICAL CURVES. 



Emerson's cyclomathesis. V. 

 Cycloid. 



Roberval squared the cycloid in 1034. Montucla II. 9. 

 Waliis on quadrable portions of the cycloid, 

 Ph.tr. 1695. XIX. 111. 



Caswell's quadrature of a portion of the epi- 

 cycloid. Ph. tr. 1695. XIX. 113. 



Halley's general quadrature of epicycloidal 

 spaces. Ph. tr. l695. XIX. 125. 



Hermann on spherical epicycloids. C. Petr. 

 I. 210. 



Clairaut's cycloidal description of the spiral 

 of Archimedes. A. P. 1740. 148. 



Lexell on spherical epicycloids. A. Petr. Ill, 

 i. 49. 



Euler on the double generation of epicycloids 

 and hypocycloids. A. Petr. 1781. V. i. 48. 

 The concavity of a larger circle rolling on a smaller. 



Involute of a Circle. 



On the involute of a circle. Ph. tr. 1700. 



•XXII. 445. 

 Fantoni on a mechanical curve. Ph. tr. 1767. 



358. 



Figures of Sines and Tangents. 



Emerson's miscellanies. 232. 



