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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.)
I guess my computer finding actually agrees, as do both others. | Comment 5 of 7 |
In fact all agree its a section of a parabola, as broll originally pointed out, and Steve Herman's portion of a superellipse is, as he states, part of a parabola, as the special case of a superellipse, and my computer finding that it's a portion of a parabola. So there actually seems to be no disagreement that this is a section of a parabola, that is also a section of a particular type of superellipse.
  Posted by Charlie on 2017-04-19 20:36:36
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