perplexus.info :: Geometry : Lines on the Curve

Lines on the Curve (Posted on 2004-02-23)

S is the surface z = xy in Euclidean 3-space.

Find all straight lines lying in S.

See The Solution Submitted by Aaron

Rating: 3.8000 (5 votes)

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Puzzle Thoughts

Comment 5 of 5 |

x = b, z = by, and:

y = d, z = dx.

are the two families of stright lines that satisfy the given conditions.

Edited on February 22, 2024, 7:27 am

Posted by K Sengupta on 2024-02-22 07:25:41

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