I shall ask you if I have any doubts]]>

Thanks for the drawing.

]]>

Please help me with the problem attached

This is what I got.

Let be the centre of and the point of contact of with . Let be the centre of and the point of contact of with .

Let

be the point on such that is a rectangle. Applying Pythagorass theorem to gives .Let

be the point on such that is a rectangle. Applying Pythagorass theorem to gives .Let

be the point on such that is a rectangle. Applying Pythagorass theorem to gives .Then

Hence:

[align=center]

[/align]]]>A rough sketch though...

1001 Words ≈ 7 KB

1 picture > 100 KB

Obviously, a picture is worth more....

]]>bobbym wrote:

A picture is worth a thousand words.

For people like me who are geometrically challenged this problem is a nightmare. So far I have come up with 10^16 different possible drawings that to me fit those constraints.

Now I am busy looking up externally tangent, internally tangent, tangerine tangent... in the hopes of what externally tangent to the line means. Intersects at one point?

I see that bob has got his circles with their centers on the line, I have lifted my circles and it was hard to do, after all there are an infinite amount of them, to roll on the line. That takes care of externally tangent. Now this second bunch of circles, where do they go?

John McCarthy wrote:

As the Chinese say, 1001 words is worth more than a picture.

Maybe I shouldn't need the diagram...

]]>I'm not getting this yet. I've drawn a line L . Now it says 'on a straight line l' so I assumed that the circles had their centres on the line, and that each circle touches the ones on either side of it. That covers the 'externally tangential to circle(n-1) and circle(n+1) but apparently also tangential to L itself. How does that happen? And I haven't even got to the second sentence yet.

Bob

]]>All done!

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