"D" =3D=3D "claimed thusly:

D I've got a board set at a 45 degree angle, back from a line. How much=
=20
D (percentage) of the length of the board does it take up? To=20
D conceptualize the issue, I drew a one inch line on paper with a ruler,=
=20
D and rotated the ruler to a 45 degree angle, thinking that the one inch=
=20
D mark on the ruler would be only 1/2 away from the starting point=
(along=20
D the original path of the ruler), but it looks like it's about 90%=
along=20
D the one inch span. What's the formula?

however wide the board is, that's the length which will be
removed. a 45deg triangle's two legs are equal, and the
hypotenuse is 1.4 times longer.

remember "soh-cah-toa":

sin (angle) =3D opposite / hypotenuse
cos (angle) =3D adjacent / hypotenuse
tangent (angle) =3D opposite / adjacent

also, for right triangles, the sum of the square of the sides
equals the square of the hypotenuse. that is, a^2 + b^2 =3D c^2.

i have a page for compound miters on my website, if you're at all
interested in how to use simple geometry in the shop.


regards,
greg (non-hyphenated american)
--=20

Multiculturalism is a euphemism for national division

http://users.adelphia.net/~kimnach http://www.grc.nasa.gov

I opted for Betamax, the world for VHS;=20
I for Amiga, the world IBM clones.

Esk=FCsz=FCnk, Esk=FCsz=FCnk, hogy rabok tov=E1bb nem lesz=FCnk!