I am inclined to believe that if ever Euclid I. 32 is proved without a new Axiom, it will be by some new and ampler definition of the Right Line—some definition which shall connote that mysterious property, which it must somehow possess, which causes Euclid I. 32 to be true. Try that track, my gentle reader! It is not much trodden as yet. And may success attend your search!

In the Introduction, which, as is frequently the case, ought to be read last in order to be appreciated properly, he relates his experiences with two of those "misguided visionaries," the circle-squarers. One of them had selected 3.2 as the value for "pi," and the other proved, to his own satisfaction at least, that it is correctly represented by 3! The Rev. Watson Hagger, to whose kindness, as I have already stated in my Preface, my readers are indebted for the several accounts of Mr. Dodgson's books on mathematics which appear in this Memoir, had a similar experience with one of these "cranks." This circle-squarer selected 3.125 as the value for "pi," and Mr. Hagger, who was fired with Mr. Dodgson's ambition to convince his correspondent of his error, failed as signally as Mr. Dodgson did.

The following letter is interesting as showing that, strict Conservative though he was, he was not in religious matters narrow-minded; he held his own opinions strongly, but he would never condemn those of other people. He saw "good in everything," and there was but little exaggeration, be it said in all reverence, in the phrase which an old friend of his used in speaking of him to me: "Mr. Dodgson was as broad—as broad as Christ."

Christ Church, Oxford, May 4, 1889.
Dear Miss Manners,—I hope to have a new book out very soon, and had entered your name on the list of friends to whom copies are to go; but, on second thoughts, perhaps you might prefer that I should send it to your little sister (?) (niece) Rachel, whom you mentioned in one of your letters. It is to be called "The Nursery Alice," and is meant for very young children, consisting of coloured enlargements of twenty of the pictures in "Alice," with explanations such as one would give in showing them to a little child.
I was much interested by your letter, telling me you belong to the Society of Friends. Please do not think of me as one to whom a "difference of creed" is a bar to friendship. My sense of brother— and sisterhood is at least broad enough to include Christians of all denominations; in fact, I have one valued friend (a lady who seems to live to do good kind things) who is a Unitarian.
Shall I put "Rachel Manners" in the book?
Believe me, very sincerely yours,
C. L. Dodgson.

From June 7th to June 10th he stayed at Hatfield.

THE LATE DUKE OF ALBANY."
From a photograph
by Lewis Carroll
, 1875.

Once at luncheon [he writes] I had the Duchess (of Albany) as neighbour and once at breakfast, and had several other chats with her, and found her very pleasant indeed. Princess Alice is a sweet little girl. Her little brother (the Duke of Albany) was entirely fascinating, a perfect little prince, and the picture of good-humour. On Sunday afternoon I had a pleasant half-hour with the children [Princess Alice, the Duke of Albany, Honorable Mabel Palmer, Lady Victoria Manners, and Lord Haddon], telling them "Bruno's Picnic" and folding a fishing-boat for them. I got the Duchess's leave to send the little Alice a copy of the "Nursery Alice," and mean to send it with "Alice Underground" for herself.

Towards the end of the year Lewis Carroll had tremendously hard work, completing "Sylvie and Bruno." For several days on end he worked from breakfast until nearly ten in the evening without a rest. At last it was off his hands, and for a month or so he was (comparatively) an idle man. Some notes from his Diary, written during this period, follow:—

Nov. 17th.—Met, for first time, an actual believer in the "craze" that buying and selling are wrong (!) (he is rather 'out of his mind'). The most curious thing was his declaration that he himself lives on that theory, and never buys anything, and has no money! I thought of railway travelling, and ventured to ask how he got from London to Oxford? "On a bicycle!" And how he got the bicycle? "It was given him!" So I was floored, and there was no time to think of any other instances. The whole thing was so new to me that, when he declared it to be un-Christian, I quite forgot the text, "He that hath no sword, let him sell his garment, and buy one."
Dec. 19th.—Went over to Birmingham to see a performance of "Alice" (Mrs. Freiligrath Kroeker's version) at the High School. I rashly offered to tell "Bruno's Picnic" afterwards to the little children, thinking I should have an audience of 40 or 50, mostly children, instead of which I had to tell it from the stage to an audience of about 280, mostly older girls and grown-up people! However, I got some of the children to come on the stage with me, and the little Alice (Muriel Howard-Smith, æt. 11) stood by me, which made it less awful. The evening began with some of "Julius Caesar" in German. This and "Alice" were really capitally acted, the White Queen being quite the best I have seen (Miss B. Lloyd Owen). I was introduced to Alice and a few more, and was quite sorry to hear afterwards that the other performers wanted to shake hands.

The publication of "Sylvie and Bruno" marks an epoch in its author's life, for it was the publication of all the ideals and sentiments which he held most dear. It was a book with a definite purpose; it would be more true to say with several definite purposes. For this very reason it is not an artistic triumph as the two "Alice" books undoubtedly are; it is on a lower literary level, there is no unity in the story. But from a higher standpoint, that of the Christian and the philanthropist, the book is the best thing he ever wrote. It is a noble effort to uphold the right, or what he thought to be the right, without fear of contempt or unpopularity. The influence which his earlier books had given him he was determined to use in asserting neglected truths.