Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
0, therefore the radius of curvature is a third pro-portional io AO and PM. THE LEMNISCATE. 137. Pef. The Lemmscate is the locus of the feet of theperpendiculars drawn from the centre of a rectangular hyperbolaupon the tangent. 138. To find the inclination to the tangent at any point ofthe radius… … m;s Draw the ordinate PM, then CT. CM= AC = CY.CP\ .. CY. CT:: CM: CP] and CMP^ CYTare right angles; therefore lPCM=L TCY. Draw (7^ perpendicular on the tangent at Y\o the lemniscate;then ZCY and YCP are similar triangles, see page 55 ; .-. L ZYC = L CPY= complement of twice Z YCA. 139. To find the…
Mechanics · Celestial mechanics
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