and by the rating rule, R varies as S × L

it therefore follows from (2) that R varies as L2√B

and, assuming that B varies as L (3)

it follows that R varies as L2√L or L5/2
therefore ... L varies as R2/5

Hence, by (1), speed varies as √R2/5 or [5]√R.—Q.E.D.

The Y.R.A. time scale therefore rests not only on the two assumptions (1) and (2) mentioned in the book, but on the further assumption (3), which we know to be incorrect.

However, the 5th root of R. gives a time scale which is found to act fairly well in practice, and this being so, the theory of the time curve is a matter of minor importance.

At first (1886 and 1887) the adoption of the unrestricted rule met with some opposition, especially in the small classes, where a few of the most experienced yachtsmen advocated restrictions in L.W.L. or L.O.A., and in mainsail area. But the majority determined, and rightly, to give the rule free scope; and the results on the whole have been highly satisfactory, fine seaworthy vessels, driven by a small sail-area at great speed, having been produced in the large classes. The evolution in the small classes has been more rapid, and in 1892 some rather undesirable types were prize-winners, and yachtsmen who wished to protect themselves against similar vessels in the large classes induced the Y.R.A. to appoint a special committee to consider whether the unrestricted and unaltered rule should be continued beyond the seven-years period, terminating in 1893. This committee, under the presidency of Sir George Lampson, obtained the opinions of our leading designers, as was done in 1886, and the designers themselves met in conference twice, and jointly addressed two letters to the Rule Committee in which they finally recommended the adoption of the Seawanhaka rule for rating racing yachts and a classification of corrected lengths suitable for our existing racing fleet; also other details, the most important being a proposal to tax overhang above the W.L. and cut away keels below it.

The Rule Committee adopted the recommendation as to change of rating rule, but proposed a modification whereby the British rating and time scale could be retained.

When this report was brought before the Council it was upset, some of the committee themselves voting against their own report. But the action of the Council has since been justified by the production of several splendid specimens of yacht architecture to race under the Y.R.A. rule of rating.