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Is it a conic? (Posted on 2017-04-19) Difficulty: 3 of 5
You've probably seen this shape before. It is several straight lines whose outline seems to be curved. Connect the following pairs of points with segments:

(1,0) and (0,8)
(2,0) and (0,7)
(3,0) and (0,6)
...
(8,0) and (0,1)

The 8 segments seem to form the outline a curve, but what curve? Is it a circle or maybe one branch of a hyperbola? Some other conic? Does it's equation have some other nice form?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Pen and acrylics | Comment 3 of 7 |
(In reply to Pen and acrylics by Steve Herman)

'My answer is different from broll's, and he is usually right,...'

I wish!

I didn't actually work out the formula for the 8-thread version, but it should be around y=0.0786x^2-0.7071x+2.909, when rotated to open upwards.

It's quite possible that the expressions are equivalent, in which case yours is much neater.


  Posted by broll on 2017-04-19 12:46:46
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