ADA JANE.--We suspect poor ADA JANE is in rather an awkward position. We cannot see how she is to prevent her cousin's marriage with the young nobleman to whom ADA JANE herself has taken a liking. She might, certainly, go to the intended bride's mother, represent her own feelings, and ask her to give up the cousin's brilliant match--such things are done on the stage. But we doubt whether it would do in Belgravia. Let ADA JANE catch a young nobleman for herself, there are plenty about. HENRY E. (Walton).--How can that be? The square of the half of any chord of a circle is equal to the product of the sagittæ of the opposite arcs, that is, the segments of the diameter bisecting the chord, or the versed sines of half the opposite arcs. From this the Jews argue, and we agree with Colonel Sibthorp in thinking they argue rightly, that no man can, by self-measurement, get a decent fit from a tailor. W. W. and F. F.--Your account of your ascent of Primrose Hill is very exciting, but the feat has been performed before. To be sure, we observe that, like some other gentlemen who just now write to the papers about their "Ascents of Mont Blanc," you failed in reaching the top; but even this remarkable feature in the performance scarcely entitles you to publicity. AFFECTIONATE EMMA.--Your "Lines to My Little Brother (aged 2¾), on his accidentally Sitting down upon some Stinging Nettles," have point and pensiveness, but scarcely sufficient interest for the general reader. Still we hope your brother is better. CHARLEY, having been thrown over by a young lady, wishes to return everything she has ever sent him, but finds a difficulty, from the fact that, her papa having been a pastrycook, her presents chiefly consisted of jam tarts, Albert rock, and the like, which CHARLEY has eaten long ago. The dilemma is new and delicate, but if CHARLEY'S conscience is tender, he had better estimate the price of the articles, and enclose it to the old Pattypan, from whom Miss had clearly no right to take them. But, as has been classically said, _Jams ate is_. BELLICOSUS JOCOSUS.--You may obtain a commission in the army, by leaving your card at Lord Hardinge's any day before four o'clock, and by calling for an answer next day. You may give the servant one shilling. This applies to the line only. To become a guardsman, call at the Junior United Service Club any evening between six and nine, walk boldly into the dining-room, and state your wish to any party who may be dining together. The rest of the process you will find very simple.