This very well expresses what has taken place. The golfers have "groped their way" to what they have found out, without a glimmering of the scientific reasons for doing it, and the consequence is that, as they got their practice first, and were not informed of what they were doing by that theory which is the best of all theory, the concentrated essence of the practice of experts, they have signally failed to impart their science to those who have come after them.

At page 229 Braid says:

However, there are certain things that the player should know about his drive when it is right, and which he should aim at producing, and they have been very well set forth by Professor Tait as the result of his investigations into the trajectories of golf balls hit under varying conditions of club-force, wind, and so forth. One of the first things to say, and this is really important in estimating their chances of making certain carries that are constantly set to them in the course of their play, is that some golfers have a delusion to the effect that the ball is at its highest point in the middle of its flight—that is to say, they think that just about half-way between the point from which it was hit and the point at which it will touch the ground again, the ball is at its highest, and after that commences to fall again. In this belief when they have, say, a 140 yards' carry to make, they will reckon that their ball must then be coming down very fast towards the turf, having been at its highest, some 50 or 60 yards before. They may think in such circumstances that they ought to hit up a little more and try to hit harder to make up for doing so. They would be wrong entirely, and that because they did not know what the under-spin was that they gave to the ball, or what effect it had on its flight. Thus in the case just quoted, assuming that the ball had a total carry of from 150 to 160 yards, it would be at its highest point when it had travelled about 130 yards, and there would be no occasion to hit up, unless the object to be carried were very high.

It is obvious that in such a case as that given no practical golfer would in any way whatever consider the question of the amount of back-spin on his ball, for he would know that he has no possibility whatever of gauging its effect in the air in such a shot, and he will leave that to regulate itself and to act when the ball strikes the earth.

It is unquestionable that theoretically this may be done, and it is well known that I am a strong advocate of the use of back-spin, but in the case quoted by Braid there is nothing whatever to show that the ball has been played in such a manner as to produce an appreciable quantity of serviceable back-spin, or that such a method of play is necessary or advisable.

Braid continues:

The fact is that a well-driven ball that has a total carry—that is, from the tee to the point where it touches the turf again, and not the distance of the obstacle that it clears—of about 165 yards, under normal conditions of wind and weather, is at its highest about 135 yards from the point where it was struck, and after that it begins to fall rapidly. This is chiefly the result of the under-spin which is given to it when it is struck by the driver in the proper way, and it shows the importance of under-spin to the golfer, for if there were none, then all our courses would have to be shortened, hazards brought closer to the tee, and the principles upon which the game is played would have to be altered in many respects. If there were no under-spin, then the ball would have no help against the force of gravity, and the result would be that the highest point of its flight would be half-way between the point from which it was driven and that at which it alighted.

We see here again strong evidence of the fact that Braid is under the same impression as Professor Tait, and that is that the back-spin of golf is obtained from the loft of the club, whereas the loft of the club has one function, and that is to raise the ball from the earth, and there will be no particular necessity to alter our courses, for in ordinary every-day golf, back-spin is practically not used, except when it is intentionally applied by the golfer by means of the stroke suitable for its production.

Braid gives a series of diagrams taken from Professor Tait's lecture which illustrate various trajectories of golf balls driven in varying circumstances. Many of these are so entirely theoretical that I need not consider them, but in referring to one of them Braid says:

The ball which has travelled farthest, or rather the one that has been given most carry, is that which has been hit in the right way, and to which has therefore been imparted the right amount of under-spin. This is, in fact, the ideal trajectory of a well-driven ball. It starts low, rises very slowly and gradually, the line of flight bending upwards slightly, and does not come down too quickly after the vertex has been reached.