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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 179

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 179
onof the parabola and that of the quadrature of the hyperbola. He is notquite satisfied with this result, but finally succeeds in § 20, Ex. 3. 158 BARROWS GEOMETRICAL LECTURES 9. Also it may be noted that, PMQ being produced, if FZis supposed to be equal to PQ, and ft</) to AQ ; then thespace… … Fig. 158. Fig. 159. 11. Hence again, the surface of the solid formed by therotation of the space ABD about the axis AD bears to thespace A DOB the ratio of the circumference of a circle toits radius; therefore, if one is known, the other becomesknown at the same time. Hence again one may measure…

Geometry

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