Difference between revisions of "Gabriel's Horn"
Jump to navigation
Jump to search
(ElWisty's writings were never really cleaned up.) |
m (The mathrm stuff looks stupid.) |
||
| Line 1: | Line 1: | ||
| − | '''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x\,</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It is noteworthy for having [[infinity|infinite]] [[area]], but enclosing a [[finite]] [[volume]] (in the region with <math>x \geq 1</math>) of <math>\pi\,</math> cubic | + | '''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x\,</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It is noteworthy for having [[infinity|infinite]] [[area]], but enclosing a [[finite]] [[volume]] (in the region with <math>x \geq 1</math>) of <math>\pi\,</math> cubic units. |
[[Category:Mathematics]] | [[Category:Mathematics]] | ||