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5 replies

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 29, 2016

One more curve from this set

Video Link : 6984

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 29, 2016

W
Werner_E25-Diamond I
25-Diamond I
June 29, 2016

Are you sure about your equations?

Here is what I get using the same "focal" points and the same a^b value (10^7):

W
Werner_E25-Diamond I
25-Diamond I
June 30, 2016

As I know that you like animations, here is one for you:

Video Link : 6986

W
Werner_E25-Diamond I
25-Diamond I
June 30, 2016

For better reliability and quality here the same animation as attachment

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 30, 2016

Thanks, Werner.

But we must convert avi into mov, for example.

Video Link : 6987

And second an main - a^b must be const. Show please a and b. Is it ovals Cassini?

A
AlvaroDíaz12-Amethyst
12-Amethyst
June 30, 2016

Hi. I'm not a particular entusiast of animations. Or not good doing that, perhaps. This example is more simple because take the origin as one focus. The expression for the discriminant is very complicated, can't see any pattern.

Best regards.

Alvaro.exp2.gif

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 30, 2016

A
AlvaroDíaz12-Amethyst
12-Amethyst
July 9, 2016

Attached a mc15 worksheet, saved as mc11, with some "easy" (most precisely, simmetrical) expressions for the discriminant, polar and others properties of the Valery's exponential curve.

Best regards.

Alvaro.

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