A treatise of algebra, in three parts. Containing

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side of the lameloint a Dinis reater orclest than DG. i. e. as an harmonica mean be tween the segments DK D cut os by the tangent is greater Orclest than arx harmonica mea belwem the segmenta DE, DI ternumted by the curve.

3II. GroL 3. Let the linem revolve bout thopolei the linem re maining and HG, the differen ceo the harmonices means DH and DG, illae increaledor diminicie in the duplicate ratio os the line in Fortas much M. cause DR the chord of the ostulatoryclacie eis given there rematas the quantau vehas eques to GR.

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ste curvatur atra potnt of contrar sexureris es than in an circle howeve great; aso have elle Rhere Biewn in the reatis of Fluxions Art. 378.

the radius o curvatur a the tangent of the sngle DVS.

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bola whic Will have the fame curvature and the time variation os curvature Wit the sine propos , is determinefas in Art. I9.

the asymptote os the cum in Variation os cur ture .ut vanissi There esas the variationis curvature will vanis in the vertices of the axes of conic sections aserit,il in like manne vanis in the vertices of thedia irreters of lines of the thir orde Whic bisect aeteordinates at right angies. FDum διει No there are many other theorems a ut thetangenis and curvature of lines of the third oriar. GR