CATALOGUE. — MATHEMATICS, CURVES. 



I2S 



Logarithmic Curve. 



Craig's quaclralure of the logarithmic curve. 

 Ph. tr. 1698. XX. 373. 



Quadra trix of the Hyperbola. 



Perks on a quadratrix of the hyperbola. Ph. 

 tr. 1706. XXV. 2253. 



The sum of the tangent and subtangent is constant ! the 

 logarithmic curve may be organically described nearly in the 

 same manner. 



Tractory. 



Hiigens, Leibnitz, Grandi, Poleni, Bomie, 



Bernoulli, Clairaut, and Fontaine. 

 Perks on the tractrix. Ph. tr. 1715. XXIX. 



331. 

 Cotes, logonjetria. 

 Clairaut on the tractories of curves. M. Berl. 



1739. 'V.33. 

 Riccati on the tractory and on syntractories. 



C. Bon. III. 479. 

 Emerson's fluxions. 

 Euler on simple and compound tractories. 



N. A. Petr. II. 1784. ^3, 28. 

 The mechanical tractory of a right line, without friction, 

 is a cycloid. 



Brougham. Ph. tr. 1798. 378. 

 British Magazine. April 1800. 



CURVED SURFACES AND SOLIDS. 



Wren on a hyperbolic cylindroid. Ph. tr. 

 1669. IV. 961. 



Cowley's solid geometry, by Jones. 4. 



Demoivre on the solids formed by lunes. Ph. 

 tr. 1700. XXII. 624. 



Euler's elements of the doctrine of solids. 

 N. C. Petr. IV. 109. 



Euler on the curvature of surfaces. A. Berl. 

 1760. 119. 



Euler on the inverse method of tangents ap- 

 plied to solids. N. A. Petr. 1788. VI. 77. 



Brackenridge on a solid not yet considered, 

 Ph.tr. 1759.446. 

 A locus of right lines. 



On the arrangement of spheres in a space. 

 Emerson's miscellanies, 438. 



Monge on stereotomy. Journ. Polyt. Li. 1. 



Kastner on the screw. Commentat. Gott. 

 1795. 1797. 



Brinkley on certain portions of a sphere. Ir. 

 tr. VIIL513. 



Brinkley on the surface of an oblique cylin- 

 der. Ir. tr. IX. 145. 



AVoodhouse on certain portions of a sphere. 

 Ph.tr. 1801. 153. 



MAXIMA OF CURVES. 



Solution of Bernoulli's isoperimetrical pro- 

 blems. Ph. tr. 1697. XIX. 334. 



Craig on curves of equal lengths. Ph. tr. 

 1704. XXXIV. 1527. 



Euler on the general isoperimetrical problem. 

 C. Petr. VI. 123. 



Euler on the maxima and minima of curves. 

 C. Petr. VIII. 159. 



Eukr Methodus inveniendi curvas maximi 

 minimive proprietate gaudentes. 4. Lau- 

 sanne, 1744. 



Euler on isoperimetrical curves. N. C. Petr. 

 VL3. 



Simpson on isoperimetrical problems. Ph. tr. 

 1755. 4, 623. 



De quihusdam maximis et minimis. 4. R. S. 



Frisi on isoperimetrical problems. N. C. 

 Petr. VII. 227. 



Borda on the maxima of curves. A. P. 1767. 

 551. H. 90. 



♦Lagrange on isoperimetrical problems. M. 

 Taur. II. ii. 173. 



L'Huilier de maximis et minimis. 4. Wars. 

 1782. R.S. 



