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Gerald Ross
 
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David wrote:

I've got a board set at a 45 degree angle, back from a line. How much
(percentage) of the length of the board does it take up? To
conceptualize the issue, I drew a one inch line on paper with a ruler,
and rotated the ruler to a 45 degree angle, thinking that the one inch
mark on the ruler would be only 1/2 away from the starting point (along
the original path of the ruler), but it looks like it's about 90% along
the one inch span. What's the formula?

Dave

If you make a 90 deg. angle of two lines of the same length,
a line connecting the two other ends is 45 degrees at each
end.
Trivia: The check the accuracy of a 90 deg. angle, measure 3
units (inches, yards, feet, etc) along one side and 4 units
along the other. The two marks will be 5 units apart. Saw a
cabinet maker use this and he had never heard of hypotenuse.

Further trivia: If you put 12 equally spaced knots or marks
in a circle of string and have three persons holding knot
#1, #5 and #8 respectively and pull all three sides taut, it
will make a 90 degree angle at knot #5.

--
Gerald Ross
Cochran, GA

If it's worth doing, it's worth doing
for money.





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