< Page:Euclid's Elements 1714 Barrow translation.djvu
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[501]

THE

THEOREMS

OF

ARCHIMEDES.

Concerning the Sphere and Cylinder, Inveſtigated by the Method of Indiviſibles, and briefly Demonſtrated by the Reverend and Learned Dr. Iſaac Barrow.

THE main Deſign of Archimedes in his Treatiſe of the Sphere and Cylinder, is to reſolve theſe four Problems.

1. To find the proportion of the ſuperficies of a ſphere to any determinate circle; or to find a circle equal to the ſuperficies of a given ſphere.

2. To find the proportion of the ſuperficies of any ſegment of a ſphere to any determined circle; or to find a circle equal to the ſuperficies of any aſſign'd ſegment.
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