Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 185
mediate consequence. i64 BARROWS GEOMETRICAL LECTURES Of course Barrow knew nothing about the notationd\\dx or Isl^y^ - T^)dx; his work would have dealt withsmall finite arcs and lines; but the pervading idea is betterrepresented for arguments sake by the use of Leibniznotation. I suggest that… … E L Z.IT = areaPFGQ = PF . FG ; .-. 1^. IJ2 = Z2. IP + Z2. TJ2 = PF2. FG2 + Z2. ?P;.-. Z.IJ = PF.FH.Hence, summing, Z . arc AB = area ADLK. That Barrow had, in § 20, Ex. 5, really rectified thecycloid is easily seen from the adjoining diagram. Barrowstarts, I suppose, with the property of the…
Geometry
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