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The Surface Area of the Bicylinder and Archimedes' Method

✍ Scribed by Jan P. Hogendijk

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
93 KB
Volume
29
Category
Article
ISSN
0315-0860

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✦ Synopsis

A bicylinder is the intersection of two equal right circular cylinders whose axes intersect at right angles. Archimedes says in his Method that the volume of the bicylinder is two-thirds of the volume of the cube whose edge is equal to the diameter of the cylinders. The surface area of the bicylinder is also two-thirds of the surface area of this cube. I argue that this result was known to Archimedes. C 2002 Elsevier Science (USA)

Een bicylinder is de doorsnede van twee gelijke rechte cylinders waarvan de grondvlakken cirkels zijn en de assen elkaar loodrecht snijden. Archimedes zegt in zijn Methode dat de inhoud van de bicylinder gelijk is aan twee derde maal de inhoud van de kubus met zijde de diameter van de cylinders. De oppervlakte van de bicylinder is ook gelijk aan twee derde maal de oppervlakte van deze kubus. Ik beargumenteer dat dit resultaat aan Archimedes bekend was. C 2002 Elsevier Science (USA) MSC subject classification: 01A20.

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