You will understand from all this that the more acute the angle of the cutting edge the more easily it will do its work, provided always that the angle is obtuse or blunt enough to give the proper strength to the end of the tool; and also that as the end of the tool encounters more resistance in hard than soft wood, the angle should be more obtuse or blunter for the former than for the latter. Theoretically, therefore, the angle of the cutting edge, to obtain the greatest possible advantage, would need to be changed with every piece of wood and every kind of cut, but practically all that can be done is to have a longer bevel on the tools for soft wood than for hard. Experience and observation will teach these angles. See Sharpening in [Part V].
When you cut off a stout stick, as the branch of a tree, you do not try to force your knife straight across with one cut. You cut a small notch and then widen and deepen it by cutting first on one side and then on the other (Fig. 5). The wood yields easily to the wedge on the side towards the notch, so that the edge can easily cut deeper, and thus the notch is gradually cut through the stick. The same principle is seen in cutting down a tree with an axe. You have only to look at the structure of a piece of wood when magnified, as roughly indicated in Fig. 6, to see why it is easier to cut with the grain than across it.
Fig. 5.
Fig. 6.
Fig. 7.
You can often cut better with a draw-stroke, i.e., not merely pushing the tool straight ahead, but drawing it across sideways at the same time (Fig. 7). You can press the sharp edge of a knife or razor against your hand without cutting, but draw the edge across and you will be cut at once. Even a blade of grass will cut if you draw the edge quickly through your hand, as you doubtless know.
If you try to push a saw down into a piece of wood, as you push a knife down through a lump of butter, or as in chopping with a hatchet, that is, without pushing and pulling the saw back and forth, it will not enter the wood to any extent, but when you begin to work it back and forth it cuts (or tears) its way into the wood at once. You know how much better you can cut a slice of fresh bread when you saw the knife back and forth than when you merely push it straight down through the loaf. You may have noticed (and you may not) how much better your knife will cut, and that the cut will be cleaner, in doing some kinds of whittling, when you draw it through the wood from handle to point (Fig. 7), instead of pushing it straight through in the common way, and you will discover, if you try cutting various substances, that as a general rule the softer the material the greater the advantage in the draw-stroke.