_Author of Broad Stone of Honour._--Who is the author of the _Broad Stone of Honour_, of which mention is made in the _Guesses at Truth_, 1st series, p. 230., &c., and in the _Ages of Faith_, p. 236., works of some interest in reference to the Papal discussions which are raging at present? NEMO. [Kenelm M. Digby is the author of the _Broad Stone of Honour_.] {265} _Pope Joan._--Can any information be procured as to the origin of the game called Pope Joan, and (what is of more importance) of the above title, whether any such personage ever held the keys of St Peter and wore the tiara? If so, at what period and for what time, and what is known of her personal history? NEMO. [That _Papissa Joanna_ is merely a fictitious character, is now universally acknowledged by the best authorities. "Clearer confirmations must be drawn for the history of Pope Joan, who succeeded Leo IV. and preceded Benedict III., than many we yet discover, and he wants not grounds that doubts it." So thought Sir Thomas Browne, in his _Vulgar Errors_, B. vii. Ch. 17. Gibbon, too, rejects it as fabulous. "Till the Reformation," he says, "the tale was repeated and believed without offence, and Joan's female statue long occupied her place among the Popes in the Cathedral of Sienna. She has been annihilated by two learned Protestants, Blondel and Bayle; but their brethren were scandalized by this equitable and generous criticism. Spanheim and L'Enfant attempted to save this poor engine of controversy, and even Mosheim condescends to cherish some doubt and suspicion."--_The Decline and Fall of the Roman Empire_, chap. xlix. Spanheim's work, _Joanna Papissa Restituta_, was printed at Leyden in 1692.] _The Well o' the World's End._--I am very anxious to find out, whether there still exists in print (or if it is known to any one now alive) an old Scotch fairy tale called "The Weary Well at the World's End?" Charles Kirkpatrick Sharpe, Esq., who is unhappily dead lately, knew the story and meant to write it down; but he became too infirm to do so, and though many very old people in the hilly districts of Lammermoor and Roxburghshire remember parts of it, and knew it in their youth, I cannot find one who knows it entirely. L. M. M. R. [Some references to the story alluded to by our correspondent will be found in Dr. Leyden's valuable introduction to _The Complaynt of Scotland_; and the story itself in Chambers's admirable collection of Scottish Folk Lore, _Popular Rhymes of Scotland_, p. 236. of the third edition, which form vol. vii. of the _Select Writings of Robert Chambers_.] _Sides and Angles._--What is the most simple and least complicated method of determining the various relations of the sides and angles of the acute and obtuse-angled triangles, without the aid of trigonometry, construction, or, in fact, by any method except arithmetic? F. G. F. St. Andrew's.