In this way those who could follow the mathematical demonstration would see the coincidence between theory and experiment, and those who could not would be satisfied with the experimental proof. As an instance we may take one proposition. The momentum or force of a moving body is proportioned to the quantity of matter multiplied by its velocity; this will first be demonstrated mathematically, then experimentally, and afterwards applied to the explanation of mechanical powers in machinery, projectiles, &c., illustrated by familiar examples and calculations. If we suppose that five mornings in the week should be devoted to this course, we shall be enabled to go through one hundred lectures before the conclusion of the session. It is scarcely necessary to observe that in this course opportunity will be taken to show working models of machinery and chemical processes in their proper places. This would be the most useful course, and, as was before observed, the numbers who attend it would gradually increase. At least this was the case at Glasgow. A morning hour would probably be best for this course. My apparatus is elegant and good. It was made for me by the late Mr. Adams. What the Institution will chiefly want will be of the supplementary kind, and will not, I apprehend, cost more than 150_l._ or 200_l._, supposing we purchase the most complete and elegant instruments, which I would strongly advise. My own apparatus shall be at the service of the Institution while I continue among you, which I hope will be while I live, and it is my intention eventually to bequeath it to the Institution. As it will be necessary to come to an arrangement as speedily as possible, Mr. Webster and myself, after having carefully surveyed the house, are of opinion that the apparatus should be placed in cases with glass doors, and that the best situation for it would be round the large room[17] on the same floor with the lecture room, and what could not conveniently be placed there, either on account of their bulk or inelegant appearance, might be put in the small room[18] adjoining to it. This would render this room very interesting to strangers, and, even considering it as a lounging room, it would be much better to have an elegant apparatus to look at than bare walls. It would likewise be much the most convenient as an apparatus and model room with respect to its vicinity to the lecture room--a circumstance of no small importance.