# Re: earth/moon relationship

Tue, 21 Oct 1997 03:37:10 -0400 (EDT)

In einer eMail vom 21.10.97 06:33:18, schreiben Sie:

> >I saw somewhere a picture where someone had a triangle so it fit
> perfectly
> >inside the earth, and within that triangle, perfectly, was the moon. Is
> the
> >earth/moon relationship really like that? I know the earth has been
> >expanding over its time and the moon has not, so maybe that relationship
> >existed in the past, but im really wondering about the present, does
anyone
> >know?
>
> By picking an appropriate triangle, you can do that with any two circles
of
> any size. So it's true, but means nothing.
>
> No you cant, it has to be perfect, or rather it has to be the right ratio.
I
> am saying a perfect relationship, with congruent sides, to where the angles
> of the triangle touch the earth's circumference at a point and the moon
> touches the triangle at a tangent. If the moon was any bigger or smaller it
> wouldnt be touching the triangle's side at one point, but rather two or
none.
> Im asking if the earth/moon relationship represents this perfect ratio,
> either with a plane triangle, or a pyramid.

Diameter of earth : approx. 12700 km
Diameter of moon : approx. 3500 km
Distance earth-moon : approx. 367000 km

Draw it and you'll see : such a triangle does not exist.

Mathias