Relationships in Non-linear trigonometry

ckyap

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What could you do with these relationships around a semi-arbitrarily defined shape?

equation solver 2.jpg

- ck
 
What could you do with these relationships around a semi-arbitrarily defined shape?
Erm... Fold 'em up into a paper airplane, head to the roof, and see what happens?

What do you mean "doing with these relationships"? What did you have in mind? Thank you! ;)
 
Erm... Fold 'em up into a paper airplane, head to the roof, and see what happens?
What do you mean "doing with these relationships"? What did you have in mind? Thank you! ;)

newton.jpg

The amazing thing about relational geometry is that it _could_ solve many real world problems without long calculations but is it for real?
 
What are you trying to say here? In the first, apparently, you have three overlapping congruent ellipses, labeled A, B, and C. The intersection of A and C only is labeled a' and the intersection of all three is labeled a, and then you have \(\displaystyle a= a'+ \delta\). So a and a' are the areas of the two sections? And what is \(\displaystyle \delta\)? There is no \(\displaystyle \delta\) in your picture.
 
What are you trying to say here? In the first, apparently, you have three overlapping congruent ellipses, labeled A, B, and C. The intersection of A and C only is labeled a' and the intersection of all three is labeled a, and then you have \(\displaystyle a= a'+ \delta\). So a and a' are the areas of the two sections? And what is \(\displaystyle \delta\)? There is no \(\displaystyle \delta\) in your picture.

If a shape, any shape is bounded by conditions of knowability or which lead to define-ability and satisfies the Yeap laws, such as breaking off / apart and rotating within a circle (or ovoid), could we know its properties, including area as you mentioned, and what if the shape were a set or boundary, a locus or a complex polar analysis. It would greatly simplify and visualise complex problem solving - but that's just my 2 cents :-/
 
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