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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 180

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 180
x^ will be equal to the sum of the rectangles TF • FZ ; thesum of the cubes on /.t^ to the sum of TQ. FZ, . . . (con-sidering them to be computed to the straight line AD); andso on for the other powers. 16. Again let the straight line QMP be perpendicular tothe curve AMB; and let ^S-BD; complete… … r ^ A T p V H ot Fig. 160. Fig. 161. 17. Also, let the straight line TMY be supposed to touchthe curve AMB, and let ^7 be made equal to BC, and therectangle a^yi/^ be completed; let then the curve OXX besuch that FX = TY. Then the space ADOXX . . .—in-definitely continued—will be equal to the…

Geometry

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