It is with the deepest sorrow that we record the tragic death of Ronald Hudson, at the early age of 28, while spending a holiday with a friend in Wales. He and his friend started from the Penygwryd Hotel early on Tuesday morning, September 20, and after climbing one of the Glydyrs descended to the foot of the Devil’s Kitchen by Lake Idwal, which they reached about one o’clock. Ronald Hudson was an enthusiastic rock climber, and would not be dissuaded from trying part of the ascent, although his companion was not sufficiently expert to go with him. A short half hour later he apparently dislodged a large rock, fell a considerable distance, and in all probability was instantly killed. When a search party with much difficulty found him some time after, he was dead. On the following Saturday he was laid to rest in Wandsworth Cemetery, by the side of his mother, whom he had lost when he was six years old. The heartfelt sympathy of his large circle of friends goes out to the sorrowing family, to his father, aunt and sisters, who have followed along the same path of knowledge as their brother with no less determination and success.

The Association of Public School Science Masters fixed their annual meeting for Jan. 16, and accepted a proposal by Mr. R. H. Thwaites to read a paper for discussion at that meeting on the subject of the possible fusion of the teaching of mathematics and science in public schools. I wrote to Mr. Pendlebury, pointing out the interest of the subject to us, and suggesting that our meetings ought not to clash. In reply, he requested me to open a similar discussion at our meeting to-day. I hope I have made it clear that the suggestion that the subject is ripe for consideration is originally due to Mr. Thwaites.

By the elementary plane constructions we mean the bisection of angles and segments of lines and the drawing of perpendiculars. The constructions given below are extremely simple, and it is very possible that some or all of them have been given before; but they seem to be of sufficient interest to be reproduced, for the reason that, if they are not new, they are not generally known.

Proofs of the addition formulae for angles of any magnitudes are sometimes rendered invalid by the way in which arguments are founded on a diagram which can represent only one of the many possible cases. When the two angles under consideration are represented in the usual manner as having a common vertex, the only angles in the diagram whose values it is safe to represent by formulae, if complete generality is to be preserved, are angles having this same vertex. The introduction of other angles may be avoided by a restatement of the definitions of sine and cosine.

In all the English text-books on Analytical Trigonometry, so far as I know, the power-series for cos x; is obtained as the limit, when n tends towards infinity, of the finite sum for cos x,

where and the number of terms is equal to the integer next greater than . The power-series for sin x is obtained similarly; the two series and the method of finding them being both due to Euler.