[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 91

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xeon >>:

:-)


I drew this a long time ago, as soon as Matemat gave me the compass

then erase the square and show me how you draw it again

 

There is something interesting about chords. We know from geometry that the angle when looking at a chord is independent of the point on the circle from which you are looking (the location of the corner vertex on the circle).

 

How meticulous you are :-))


 
Richie >>:

Вопрос на засыпку: Объясните, почему сверхпроводник и магнит держутся друг от друга на определённом расстоянии?

https://www.youtube.com/watch?v=4VGACLNfZ8s


Because a superconductor doesn't 'leak' (I don't know what to call it :-) ) power lines
 

xeon >> какие вы дотошные :-))

Nope, not like that. My rectangles don't fill the whole square.

 
Mathemat >>:

Неа, не так. У меня прямоугольники не заполняют квадрат целиком.


so you have a quadrilateral, not a square :-)
 

My construction is ironclad, as I drew the square first and then the marked points :) You have a special case.

 
xeon >>:

какие вы дотошные :-))



fitting
 
Richie >>:

http://rutube.ru/tracks/2262843.html


You're getting a bit "off the ground" there, mate.
 

So we build perpendiculars at the ends of the diagonals of our irregular quadrilateral. Continue them until they intersect.

We have a quadrilateral. It is not our desired square, but it is at least a rhombus. We intersect its diagonals.

As a result we seem to (?) get the centre of the square we are looking for. I do not know where to dig further, but the truth is somewhere around the nearest corner.

I will dig a little more.

// I put the question, because it seems to be in the centre, although analytically I do not understand the historical necessity of it completely.

// I'm going to try it again.

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