Some maths help (partially programming)

[thegubble]

Hey,
I'm having some maths trouble over the past 2 days, and can't get this to work right, but anyway, I'll explain the problem and my solutions so far.

Ok, say i have 2 number lines (this is a simplified way to look at the actual problem), of the same physical length.
Line 1 goes from 1 to 127
Line 2 goes from 25 to 127
BUT the lines are the same physical length.
If i placed a marker down on Line 1 at '16', what would this position read on line 2.

Now, the hard part is that in fact the starting position of line 1 and line 2 changes, and the position of the marker changes, therefore, all calculations should be done with variables.

Any help would be great.

[/0]

Don't know how right this is Just having a crack at it

Let the position of "25 on line 2" relative to "1 on line 1" be given by .

Now, if , then the 1 coincides with the 25.

So then we can just use ratios to find the reading on line 2 when line 1 is at '16'.





So at a time , the reading on line 2 should be


EDIT: Actually, sorry I went into this with some assumptions. Could you say exactly HOW the positions vary? I might be using the wrong scale.

[thegubble]

Thank you so much for your quick and helpful reply. Your solution worked perfectly, i just rewrote it into my application, and all results are as expected.

Thanks once again, now i can stop hitting my head against the brick wall.