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#1 Help Me ! » Orthogonal projection » 2008-08-27 01:01:37

atreyyu
Replies: 1

Does there exist a polyhedron, whose orthogonal projections on some three planes are a quadrilateral, a hexagon and an octagon?

Please help me with this one, I also need a short justification. Thanks smile

#2 Help Me ! » Line passing through a square » 2008-08-25 07:20:51

atreyyu
Replies: 2

Straight line

passes through the center of a square
, whose area is
. Let
denote the shortest distances between line
and points
respectively. How to prove that
?

#3 Help Me ! » Rectangular prism » 2008-08-03 20:16:27

atreyyu
Replies: 1

A rectangular prism, of which the base is a square, has a diagonal of length d, and the total area of all its faces is b. In terms of b and d, what is the total length of all its edges?

#4 Help Me ! » Points on a plane » 2008-08-02 09:53:35

atreyyu
Replies: 1

We have a set of points on a plane, and each point has been coloured either red or blue. How to prove that there exists a right and isosceles triangle, whose vertices are all the same colour?

Help! dunno

#5 Help Me ! » Solutions of a set + determine integers » 2008-08-01 23:01:54

atreyyu
Replies: 3

Hey guys! I have 2 algerbra problems and I have no idea even where to begin down. So could you please solve these problems and *explain* the solution to me? roll

1) Determine the number of solutions of the following set, depending on the parameter a.

2) Determine all positive integers

such that
is a prime number, and
is divisible by 3.


Thanks! kiss

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