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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 127

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 127
nd VIII, § 9. io6 BARROWS GEOMETRICAL LECTURES 9. Hence, it is clear that, if two lines EEE, FFF are sorelated that, when any straight line DEF is drawn from afixed point D, DE varies as the square on DF; and if ES,FT are the tangents to the curves at the ends E, F, meetingthe line perpendicular to… … Fig. 100. also let the lines EBE, FBF pass through B and be suchthat, if any straight line PG is drawn parallel to BD, PF isalways an arithmetical mean of the same order between PGand PE; also let BR touch the curve EBE. Required todraw the tangent at B to the curve FBF. Taking numbers N, M to…

Geometry

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