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The geometrical lectures of Isaac Barrow (1916)

Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 181

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 181
if the curve A MB is convex to the straightline AD. 20. Also, from what has been shown, an easy method ofdrawing curves (theoretically) is obtained, such as admitof measurement of some sort; in fact, you may proceedtlius:— Take as you may any right-angled trapezial area (ofwhich you have sufficient… … E L to DL, cutting the lines AD, CE, KL in the points F, G, H,and some determinate straight line Z is taken, then the LECTURE XII i6i square on FH is equal to the squares on FG and Z. More-over, let the curve AIB be such that, if the straight line GFlis produced to meet it, the rectangle contained…

Geometry

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