Cross grain binding has a little more flexibility. If your borders are cut on the straight of grain, cross grain binding is a good choice. It is probably the most common type of binding used as it is both easy to make and an economical use of fabric.
Bias binding is binding that is cut at a 45 degree angle from the selvedge.
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lay out the pattern on a 45" degree angle on .cloth
A circle.
If it cuts the wood along the direction of the grain into two pieces, it could be a slice, or a rip cut. The same separation into two pieces- but across the grain- would be called a crosscut. Of course, if said cut renders a channel, it would either be a dado or a groove, depending entirely upon it's relation to the direction of the grain.
You would cut off a corner.
A cross section imagines what something would look like if you cut it in half (or more or less in half) and looked at the surface that was exposed by the cut.