Recent content by bob012345

The way to determine ##(a,b)## uniquely is to pick an angle ##\phi##. Then we have ##b=2tan(\phi)## and ##a=4/tan(\phi)##. As ##\phi## approaches either zero or 90 degrees, the area of the total triangle approaches infinity while the contribution of the rectangle remains constant. For the...

We wish to find the actual design to replicate it accurately.

Brand new bridge collapses in China; https://www.nbcnews.com/world/asia/nearly-2500-foot-long-bridge-collapses-china-rcna243388

Thanks. Do you have information on the power source?

Too bad they are planning on crashing it into the ocean in the not too distant future. Seems like such a waste.

Ever solve a problem so well you feel like you deserve a prize? At least that’s what I got from it.

Ok, thanks.

To me the issue is not if there is physical reality underneath what are now labeled quantum fields. It is can quantum fields be measured as distinct physical entities and what are their properties as compared to mathematical representations in some theory which are assumed to be some fundamental...

Thanks. But are they physical entities?

If electrons are quantum fields, then what, physically, are quantum fields?

Could we say his ‘proof’ wasn’t even marginal?

The two solutions with square edges along the triangle sides cut the triangle into either two or three smaller 3-4-5 triangles. The case where only three points of the square touch the sides of the triangle cuts it into two triangles different from the 3-4-5 and one four sided shape.

I got the maximum and one relative maximum but missed the minimum. I had the diagonal of the square vertical which gives s=12/11 root(2).

It might be interesting to consider a square inscribed in a 3-4-5 triangle. If the square must touch all three sides, what is the largest, the smallest possible?

Apparently, this construction, the original square with semi-diagonals as @DaveC426913 drew in post #18, goes back thousands of years and has numerous properties of interest. There is a Wooden book called The Diagram all about it. This construction is also called the Helicon. Wooden books...