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New 2018 Year

Emerald III

New 2018 Year

I randomly throw (1000 times! Keep a patience!) five points into a square and draw a second-order curve through them.
These are seven curves:
- a hyperbola (we can see one or two branches) and an ellipse (full or a part of it) - two usual cases;
- a parabola, a circle, two intersecting lines, two parallel straight lines and one straight line - five rare cases!

But the Seven is a fine number!
Who will see all seven possible curves, must have good health, happiness and prosperity in the new 2018 year!

 

Physical Mathematics

2018-new.gif

3 REPLIES 3

Re: New 2018 Year

See also Hyperbola and Ellipse - new math constant?

Calculate, please, how many we have hyperbolas and ellipses

New variant of the video

2018-1-short.gif

 

Re: New 2018 Year

3-d order curves with 9 points

See please more Cubic plane curve

2018-3.gif

Re: New 2018 Year

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