and have methinks a prospect of methods that I hope will not faile in the attainment, consisting of two branches. The one to make such habitudes or co-efficients relating to two tearmes in an equation, that taking away one of them, the other shall vanish with it. The other to reduce such tearmes to those habitudes that want them, though something hath been done in this kind and not in vaine, yet there still is required more still labour and time, than can be affoarded by his and
Your most humble servitor,
SIR SAMUEL MORLAND TO JOHN PELL.
[MS. Birch, Brit. Mus. 4279, foL 143, Orig.]
Sir,—Not being able to wayt on you as yet (as I intended) I take the boldness to send you my first request in writing, which is to beg you to answer the following queres:—
1. Supposing a foot to be divided into 12 inches, what is the number (and decimal parts) of cubick inches which are equal to the content of a cylinder, the diameter of whose base is 1 inch, and the height 12 inches?
2. What is the number of cubick inches that equal the content of a cylinder, the diameter of whose base is 2 inches, and the height 12 inches?
3. What is the number of cubick inches answering to a cylinder, the diameter of the base being three inches, and the height 12 inches?
And if your leisure will permitt you, I would beg a table giving the number of square inches conteyned in the areas of all circles from 1 inch diameter, to a 100 inches diameter.
And what trouble this shall give you, shall be acknowledged by
Your most humble and faithful servant,