Below are two figures.
The first is a board in the path of a jet of water, and lets say you are holding the board in place (your hand is not drawn). The board’s major plane is perpendicular to the direction of the flow from the jet. The force generated by the jet on the board is also in the same direction as the flow from the jet.
The second is a board at some different orientation to the jet’s direction, and you are still holding the board in place (but now at angle). The force on the board is still modelled as perpendicular to the major plane of the board, but now the force on the board is at an angle to the jet’s direction. Here, slightly off to the right, and forward.

This is the essence of planing, but you wouldn’t call it planing, in fact I know of no special name that’s given to this kind of situation (actually in the first case, the term “stagnation pressure” is often applied.) The term ‘planing’ has its origin in boat design, but its the same phenomena - an exchange of momentum between the flow and the object.
In the first case, you would sense, given the force you would have to use to hold the board in place, that the force is in the direction as shown - the board just wants to go ‘upward’, and you would counter balance that force by applying a downward force to hold it in place. In the second example, the board wants to move upward but also off the right and forward, and you would counter balance that force by applying a force which is downward and slightly off to the left and back to hold it in place.
But say in the second case all you did was provide a downward force to stop the board from moving upward, then the board and your hand would be moved off to the right and forward.
Now think of a situation where there is a stationary row of jets parallel to the picture plane, in this case, as above, you’re only preventing the board from moving upward. The board would move to the right, moving from jet to jet, but also forward, so eventually the board would move right out the row of jets. But you would like it to continue to move along the row of jets, so you adjust the angle so there’s no tendency to move forward. Now your board just moves off the right.
But say the row of jets starts to move as a whole out of the paper, to keep the board in the jet flow, you have to adjust its angle again, given it a slightly forward angle (like the original angle, but maybe more or maybe less in order to follow the movement of the line of jets.)
Preventing the board from moving upwards is similar to the major role gravity plays in surfing (see original post), the rest is just you controlling in which direction the board will move by changing its orientation. Surfing is about getting in the way of the flow, its about exchanging momentum with the flow. This, of course does not rule the possiblity of ‘sliding’ down the face occasionally (angling the board appropriately) to pick up some extra kinetic energy, see original post. But again, what makes surfing different is what I’ve described above, it allows the surfer to control the forces of planing, in particular it allows him to move transversely across the wave-face.
This is an overly simpified example, but hopefully it is enough to allow you to make the leap to Savistsky’s diagram, (Please also consider reading “The Decelerating Wave-Form” and “Rails Plane”, as the flow up the face is not a simple jet, the flow varies along the face.)
