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Geometrical Lectures : Explaining the Generation, Nature and Properties Of Curve Lines / Read in the University of Cambridgeby, By Isaac Barrow, D. D. ... Translated from the Latin Edition, revised, corrected and amended by the late Sir Isaac Newton. / By Edmund Stone, F. R. S.
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Lecture XI.

H E former Part of our Bu-

siness being in some fort fi-nished, I shall now fubjoynsome 'Theorems that offerrelating to the Mensurationof Magnitudes by Tangcnts

or Perpendiculars to Curves. Some of thePrincipal of which are these.

i. Let there be any Curve VH, whose Fig. 122Axis is VD, and Ordinate HD perpen-dicular to V D. Also let the Line p Z ybe such, that if from any Point, as E, ta-ken at Pleasure in it, the right Line EP,be drawn perpendicular to the Curve, anddie right Line EAZ perpendicular tothe Axis, let the right Line AZ be equalto the intercepted Part A P: then shallthe Space ADjy^> be equal to one halfthe Square of the right Line D H.

For

 
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