One may remark here, perhaps, that there is no more unsuitable stroke in which to study the peculiarity of the application of back-spin to the trajectory of the ball than in the high lofted approach shots, for it is in such shots as these practically an impossibility, if one may so express it, to locate the influence of the spin on the flight of the ball. It is quite a different thing in the wind-cheater class of stroke where one sees the ball travelling low across the turf and can absolutely mark the place where the back-spin begins to get to work and give the ball its upward tendency towards the end of the drive, and, when the velocity of the ball has become sufficiently reduced, to allow the back-spin to exert its lifting power.

I now come to a matter which is of very great importance in the application of back-spin to the ball. It is quite evident to me that Braid is falling into the same error as that which was originally made by Professor Tait, and followed fifteen years later by Professor Sir J. J. Thomson. On page 226 he says:

Therefore the great authority concluded that good driving lies not merely in powerful hitting, but "in the proper apportionment of quite good hitting with such a knack as gives the right amount of under-spin to the ball"; and one of his calculations was to the effect that, in certain circumstances, a man who imparted under-spin to his ball when driving it might get a carry of about thirty yards more than that obtained by another man who hit as hard but made no under-spin. There would, of course, be a great difference in the comparative trajectories of the two balls. In the case of the short one there is no resistance to gravity, and consequently, in order to get any sort of flight at all, the ball must be directed upwards when it is hit from the tee, or, to use a scientific term, there must be "initial elevation." This may be only very slight, but it is quite distinguishable, and in fact a player, who is only at the beginning of his practice, and has little knowledge of the principles of the game, will generally be found trying to hit his ball in an upward direction, and by that means will make it travel farther than it would have done otherwise. On the other hand, the ball that is properly driven by a good player is not only not consciously aimed upwards, but, according to Professor Tait, is not hit upwards. For some distance after it has left the tee it follows a line nearly parallel with the ground, and eventually rises as the result of the under-spin which is forcing it upwards all the time.

We may pause here to consider a few of the statements in this remarkable passage. I may say again that the idea of driving a ball with the "proper apportionment of quite good hitting with such a knack as gives the right amount of under-spin to the ball" is simply a wild guess at what takes place during the execution of a correct drive with back-spin. The proper playing of this stroke is a matter of very considerable difficulty, and it is practically a certainty that no golfer has ever lived or ever will live who could regulate his back-spin in the drive to any appreciable extent; all that he ever thinks of doing—all that he is ever likely to do—is to obtain his back-spin, and as much of it as he can.

It is, of course, quite wrong to say that in the ball hit without back-spin there is "no resistance to gravity," for if there were no resistance to gravity the ball would be on the earth. However, we know quite well what is meant, although, when we are dealing with a matter which is absolutely a matter of science, we do not expect such loose statements as these. I should probably have passed this remark, but for the fact that it is emphasised by the statement that in order to get any sort of flight at all the ball must be directed upwards when it is hit from the tee, which again, as a matter of practical golf, is what nine of ten golfers do, although we are told that "a player who is only at the beginning of his practice, and has little knowledge of the principles of the game, will generally be found trying to hit his ball in an upward direction."

It is astonishing how few players, even of quite a good class, are content to leave the question of elevation entirely to the club. It probably would be no exaggeration to say that quite ninety per cent of the players make an attempt, however extremely slight it may be, to assist the club in lifting the ball from the earth. According to the best theory in golf, this is quite wrong, for the blow should be at least in a horizontal direction, which practically it never is, and preferably in the line of the arc formed by the club head in its travel through the air on its downward path. The latter case, of course, would produce back-spin, and a considerable amount of it. The former would probably produce slight back-spin, but a very slight amount. However, the very great majority of golfing hits are at the moment of impact proceeding upwardly, and it is this fact which puts any idea whatever of the unconscious application of back-spin by the ordinary golfer quite beyond serious consideration. The amount of back-spin which is unconsciously applied to the golf ball is practically negligible.

We see that, according to Professor Tait, the ball which is properly driven by a good player is not only not consciously aimed upwards, but that it is actually not hit upwards. Indeed we are told that for some distance after it has left the tee it follows a line nearly parallel with the ground and eventually rises as the result of the under-spin that is forcing it upwards all the time. This statement is not in accordance with the experience of practical golfers. It is evident that Professor Tait was under the impression, in which, as I have stated before and now emphasise, he has been followed by Professor Sir J. J. Thomson, that the beneficial back-spin in golf is obtained by the loft of the club. There can be no doubt whatever that if a golf ball were struck a blow by a golf club having any considerable degree of loft and proceeding at the moment of impact in a straight line, the result would be to impart some degree of back-spin, but this is not what happens in practical golf. At no portion of the travel of the head of the club in the golf drive is it proceeding in a horizontal direction, and in the vast majority of cases, at the moment of impact, even with the very best of stroke players, the club is going upward. If this were not so it would be impossible for many of our greatest drivers to get the trajectories they do with the comparatively straight-faced clubs which they use.

Braid quotes an experiment which was made by Professor Tait in the course of his investigations with regard to the qualities of under-spin. It appears that the Professor laid a ball to the string of a crossbow, the string being just below the middle of the ball, so that when it was let go it would impart a certain amount of under-spin to it. When he shot the ball in this way he made it fly straight to a mark that was thirty yards distant; but when he shot it a second time, pulling the string to the same extent and laying it to the middle of the ball so that no under-spin would be given to it, the ball fell eight feet short of the same mark.

It is impossible to accept such a rough and crude experiment as this as evidence in any way whatever of the influence of back-spin in the drive; rather it would seem to show beyond a shadow of doubt that the extra carry was obtained because the power of propulsion was applied to the ball at a lower portion, and therefore tended to give it a greater trajectory. It should be obvious that this result would be obtained even disregarding the question of back-spin, which in such an extremely short flight as thirty yards would certainly not have any opportunity whatever to make such a difference in the length of carry as that suggested.

It is, however, when we come to deal with questions of practical golf that we find that the ideas of the late Professor Tait will not bear looking into.