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Topic: Problem of the Week, March 14-18
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Problem of the Week

Posts: 292
Registered: 12/3/04
Problem of the Week, March 14-18
Posted: Mar 14, 1994 2:32 PM
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The problem of the week is a regular feature here at the geometry forum.
Each weekend a high school level geometry problem will be posted, and the
following weekend a summary of solutions and their authors will be posted.

Please do not post solutions to the problem of the week; instead mail your
answer along with as detailed a description of your method as
necessary/possible to (replying to this message
will also work). Solutions should be received by midnight Friday so they
can be combined and posted over the weekend.

Please include your name, grade, and school along with your answer.


Problem of the Week, March 14-18

[Jill] Jill and Jimmy were having a picnic on the
' ` bank of the river below the construction
' ` site of their bridge (see earlier problems).
' ` Jill decided to take the rowboat out for a
' ` while. She followed a path such her lines
' ` of sight back to the dock and to the foot
[dock] ` of the bridge on the same side of the river
~~~~~~. ` were always perpendicular to each other.
` [bridge] In what kind of path on the river did
`~~~~~~~~~~~~~~~~~~~~ she travel?

(Credit for this problem goes to Harold Jacobs, from his _Geometry_ book.)


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