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Cut a 45 degree angle "going the other way".
A 45 degree (Acute) angle.
lay out the pattern on a 45" degree angle on .cloth
If I understand the question correctly, the answer is yes. All angles of the same measure will match up with one another.
Formula for calculating center to end distance of such elbows is as follows: For 90° Long Radius elbows, center to end dimension given in dimension tables of ASME B16.9 is same as radius of elbow. This is because Tan (90/2) i.e. Tan 45 is 1. Normally custom elbow angles from 45 degree to 90 are cut from 90 degree standard elbow. If that's what you were asking about...
Cut a 45 degree angle "going the other way".
30
Any angle that you like. There are no constraints on a single angle of a decagon, only on their sum.
A 45 degree (Acute) angle.
When you say "crown cut" I think you are referring to a compound angle cut. A compound angle is 2 angles cut at the same time. In crown for instance you put the trim in the saw at a 45 degree angle, and tilt your saw blade at a 45 degree angle as well.
cut a 22 1/2 out of it
You need to take what degreee turn you want divide that by how many welds you want that will give you the angle of miter cuts to find your starting piece a take the radius of bend muliply by tangent of miter cut
Diagonal of a square?
You set the bevel on your saw to a 45 degree angle. Then set the angle on your saw base to the angle of your plumb cut.
to make an quilateral hexagon (all the angles identical) each internal angle should be 108 degrees.
A right angle is 90 degrees. That's like cutting straight across. A 45 degree angle is exactly half of that. Cut on the diagonal.
We'll generally use a "miter box" to hold the stock to be cut in a fixed position, and then hold the saw at a fixed angle to the stock. Most miter boxes will allow 90 degree, 60 degree, 45 degree or 30 degree cuts. Some specialized ones allow you to cut at any arbitrary angle to the stock.