You still doubt that the position as I explained it is four miles long, and you rest upon the superior accuracy of major Mitchell’s plan, on which you have measured the distance with your compasses. I also am in possession of one of major Mitchell’s plans, and I find by the aid of my pair of compasses, that even from the left of the Portuguese _infantry_ (without noticing Otway’s squadron of cavalry) to the right of the Spanish line, as placed at the termination of the battle, is exactly four miles; and every body knows that a line over the actual ground will from the latter’s rises and falls exceed the line on paper. Wherefore as my measurement does not coincide with your lordship’s, and as we are both Irishmen, I conclude that either your compasses are too short or that mine are too long. Your grand cheval de bataille is, however, the numbers of the armies on each side. Thirty-eight long pages you give us, to prove what cannot be proved, namely, that my estimate is wrong and yours right; and at the end you are just where you began. All is uncertain, there are no returns, no proof! the whole matter is one of guess upon probabilities as to the allies, and until lately was so also with respect to the French. Mine was a very plain statement. I named a certain number as the nearest approximation I could make, and when my estimate was questioned by you I explained as briefly as possible the foundation of that estimate. You give in refutation thirty-eight pages of most confused calculations, and what is the result? why that the numbers of the allies on your own shewing still remain uncertain; and your estimate of the French, as I will shew by the bye, is quite erroneous.