Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 83
on of tangency to Fermats idea, as mentioned inthe Introduction. 62 BARROWS GEOMETRICAL LECTURES 6. A straight line AY, moving parallel to itself, traversesany curve, either concave or convex to the same parts,with uniform motion (that is to say, it passes over equalparts of the curves in equal… … Fig. 27. To do this, draw MP parallel to AY to cut the curve APXin P; through P draw the straight line PE touching thecurve APX j through M draw MH parallel to PE; take anypoint R in MH, and draw RS parallel to PM j mark off RSso that MR : RS = arc AP : PM {i.e. as the one uniformmotion is to the…
Geometry
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