How are saw teeth cut?

Cut in what???

Teeth are often nibbled out of the saw stock, then "set", which pitches them at certain angles to the left and right. This makes the blade cut a kerf that is slightly wider than the blade stock to prevent binding. The end of the tooth is then sharpened at the cutting angle. Other methods grind in the teeth, and then set the angles with cutting wheels.

On a knife blade with a sawback, the teeth often have no set. The teeth are ground with left and right cutting angles, though. With some patience you can do this by hand on the unhardened blade. It will need to be sharpened with diamond files/discs or special stones after hardening.
 
If you mean hand saws, there are literally hundreds of articles, books, videos, and even classes (Woodwright School, for instance) available. Just Google "hand saw sharpening".

Non-carbide bandsaw blades can sometimes be sharpened and there are videos about that (although tracking may suffer).
 
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