Good morning Rob,
Since you started the new Wiki page Science!
and showing to be a crack in mathematics, could you make a worksheet which calculates sides a and b if one part (the lenght of c) of the cradle is given ?
Preferatly when the angle of bc is 45 degrees.
See picture below for the naming of the sides:http://upload.wikimedia.org/wikipedia/c ... an.svg.png
I have been looking to the following sites for research:
Especially the last one gave me headache, there are to many examples on how to calculate. All the ones I have been investigating need to have at least 2 sides known.
But there should be a way to calculate sides a and b if c is known together with the angle (45 degrees) of b and c.
Now on the last website there is a remark (#2) which looks like it is explaining how to calculate the sides with the degrees each corner has.http://www.cut-the-knot.org/wiki-math/i ... eanTheorem
And now I am in the dark, I have never had any trigonometry so I don't know if this is the explanation to dig in.
And if so how to put that in a worksheet.
My idea is to have all the calculations in a worksheet for everybody to use (me first
) when calculating how large your cradle needs to be to hold even the largest book/document which has to be scanned. Because at the start of building your scanner one need to know what maximum size is needed, and from there all other calculations follow.
The calculation of the base where the cradle rest on.
The calculation of the height of the camera.
See also the explanation at Fix Keystoning via hardware adjustments
Postby jay Â» 18 Apr 2011, 22:54
Well I hope you and other members (Jay) can help to put those calculations into a worksheet in which one can simply put measurement(s) and all unknown numbers will follow.
A very simple attempt is here:
The suggestion of Spamsickle is incorporated into the sheet.
Jay's explanation is now added, so does DPC's explanation for cradles larger then 90 degrees.