Hyperbola and Ellipse - new math constant?

[ValeryOchkov]

I randomly throw 5 points into a square and draw a second-order curve through them.
These are two curves - a hyperbola (71.993%) and an Ellipse (100% - 71.993% = 29.067%).

Is it a new math constants?

See more >>>

The Mathcad 15 sheet in attach

 

Physical Mathematics

[ValeryOchkov]

... and a parabola

[twinprime]

Attached is a Mathcad 15 file (in pdf since the live file doesn't post) with some investigations inspired by V. Ochkov's question of the points: deciding whether the conic determined by 5 random points in a square is hyperbola or an ellipse.  I'm no closer to identifying the mysterious constant 0.29 . . . but have been having fun with Mathcad 15.  Stay tuned.

(The file is large, and taxes the memory of my machine.)

Frank Purcell

twinprime@att.net

[ValeryOchkov]

Thanks Frank for the answer!

1. Attach please not *.xmcd but *.rar file!

2. It is not V Ochkov but V Points problem and may by constants!

3. I am looking for new letters!

[twinprime]

Valery: attached, I hope, is the rar file for the V points problem that I sent yesterday in pdf; more files on the way as I get them organized and cleaned up.

Best,

Frank

[ValeryOchkov]

Hi Frank!

Can you read an edit the article about V Points problem?

You can insert some thing and be a coauthor!

Regards

val

[ValeryOchkov]

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@ValeryOchkov wrote:

I randomly throw 5 points into a square and draw a second-order curve through them.
These are two curves - a hyperbola (71.993%) and an Ellipse (100% - 71.993% = 29.067%).

Is it a new math constants?

See more >>>

The Mathcad 15 sheet in attach

 

Physical Mathematics

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It is a (new) math constant Pi / 12 = 28.06902 %