and being told how it was done, she showed me a monthly magazine with coloured plates of ladies' dresses, charades, and puzzles. At the end of a page I read what appeared to me to be simply an arithmetical question; but on turning the page I was surprised to see strange looking lines mixed with letters, chiefly X'es and Y's, and asked; "What is that?" "Oh," said Miss Ogilvie, "it is a kind of arithmetic: they call it Algebra; but I can tell you nothing about it." And we talked about other things; but on going home I thought I would look if any of our books could tell me what was meant by Algebra.
In Robertson's "Navigation" I flattered myself that I had got precisely what I wanted; but I soon found that I was mistaken. I perceived, however, that astronomy did not consist in star-gazing,[3] and as I persevered in studying the book for a time, I certainly got a dim view of several subjects which were useful to me afterwards. Unfortunately not one of our acquaintances or relations knew anything of science or natural history; nor, had they done so, should I have had courage to ask any of them a question, for I should have been laughed at. I was often very sad and forlorn; not a hand held out to help me.
My uncle and aunt Charters took a house at Burntisland for the summer, and the Miss Melville I have already mentioned came to pay them a visit. She painted miniatures, and from seeing her at work, I took a fancy to learn to draw, and actually wasted time in copying prints; but this circumstance enabled me to get elementary books on Algebra and Geometry without asking questions of any one, as will be explained afterwards. The rest of the summer I spent in playing on the piano and learning Greek enough to read Xenophon and part of Herodotus; then we prepared to go to Edinburgh.
My mother was so much afraid of the sea that she never would cross the Firth except in a boat belonging to a certain skipper who had served in the Navy and lost a hand; he had a hook fastened on the stump to enable him to haul ropes. My brother and I were tired of the country, and one sunny day we persuaded my mother to embark. When we came to the shore, the skipper said, "I wonder that the leddy boats to-day, for though it is calm here under the lee of the land, there is a stiff breeze outside." We made him a sign to hold his tongue, for we knew this as well as he did. Our mother went down to the cabin and remained silent and quiet for a time; but when we began to roll and be tossed about, she called out to the skipper, "George! this is an awful storm, I am sure we are in great danger. Mind how you steer; remember, I trust in you!" He laughed, and said, "Dinna trust in me, leddy; trust in God Almighty." Our mother, in perfect terror, called out, "Dear me! is it come to that?" We burst out laughing, skipper and all.
Nasmyth, an exceedingly good landscape painter, had opened an academy for ladies in Edinburgh, a proof of the gradual improvement which was taking place in the education of the higher classes; my mother, very willingly allowed me to attend it. The class was very full. I was not taught to draw, but looked on while Nasmyth painted; then a picture was given me to copy, the master correcting the faults. Though I spoilt canvas, I had made some progress by the end of the season.[4] Mr. Nasmyth, besides being a good artist, was clever, well-informed, and had a great deal of conversation. One day I happened to be near him while he was talking to the Ladies Douglas about perspective. He said, "You should study Euclid's Elements of Geometry; the foundation not only of perspective, but of astronomy and all mechanical science." Here, in the most unexpected manner, I got the information I wanted, for I at once saw that it would help me to understand some parts of Robertson's "Navigation;" but as to going to a bookseller and asking for Euclid the thing was impossible! Besides I did not yet know anything definite about Algebra, so no more could be done at that time; but I never lost sight of an object which had interested me from the first.
I rose early, and played four or five hours, as usual, on the piano, and had lessons from Corri, an Italian, who taught carelessly, and did not correct a habit I had of thumping so as to break the strings; but I learned to tune a piano and mend the strings, as there was no tuner at Burntisland. Afterwards I got over my bad habit and played the music then in vogue: pieces by Pleyel, Clementi, Steibelt, Mozart, and Beethoven, the last being my favourite to this day. I was sometimes accompanied on the violin by Mr. Thomson, the friend of Burns; more frequently by Stabilini; but I was always too shy to play before people, and invariably played badly when obliged to do so, which vexed me.
The prejudice against the theatre had been very great in Scotland, and still existed among the rigid Calvinists. One day, when I was fourteen or fifteen, on going into the drawing-room, an old man sitting beside my mother rose and kissed me, saying, "I am one of your mother's oldest friends." It was Home, the author of the tragedy of "Douglas." He was obliged to resign his living in the kirk for the scandal of having had his play acted in the theatre in Edinburgh, and some of his clerical friends were publicly rebuked for going to see it. Our family was perfectly liberal in all these matters. The first time I had ever been in a theatre I went with my father to see "Cymbeline." I had never neglected Shakespeare, and when our great tragedians, Mrs. Siddons and her brother, John Kemble, came for a short time to act in Edinburgh, I could think of nothing else. They were both remarkably handsome, and, notwithstanding the Scotch prejudice, the theatre was crowded every night. It was a misfortune to me that my mother never would go into society during the absence of my father, nor, indeed, at any time, except, perhaps, to a dinner party; but I had no difficulty in finding a chaperone, as we knew many people. I used to go to the theatre in the morning, and ask to see the plan of the house for the evening, that I might know which ladies I could accompany to their boxes. Of course I paid for my place. Our friends were so kind that I saw these great artists, as well as Charles Kemble, Young, and Bannister, in "Hamlet," "Macbeth," "Othello," "Coriolanus," "The Gamester," &c.
It was greatly to the honour of the British stage that all the principal actors, men and women, were of excellent moral character, and much esteemed. Many years afterwards, when Mrs. Siddons was an old woman, I drank tea with her, and heard her read Milton and Shakespeare. Her daughter told us to applaud, for she had been so much accustomed to it in the theatre that she could not read with spirit without this expression of approbation.
My mother was pleased with my music and painting, and, although she did not go to the theatre herself, she encouraged me to go. She was quite of the old school with regard to the duties of women, and very particular about her table; and, although we were obliged to live with rigid economy, our food was of the best quality, well dressed, and neatly served, for she could tell the cook exactly what was amiss when anything was badly cooked. She thought besides that some of the comfort of married life depended upon the table, so I was sent to a pastrycook for a short time every day, to learn the art of cookery. I had for companions Miss Moncreiff, daughter of Sir Henry Moncreiff Wellwood, a Scotch baronet of old family. She was older than I, pretty, pleasing, and one of the belles of the day. We were amused at the time, and afterwards made jellies and creams for little supper parties, then in fashion, though, as far as economy went, we might as well have bought them.
On returning to Burntisland, I played on the piano as diligently as ever, and painted several hours every day. At this time, however, a Mr. Craw came to live with us as tutor to my youngest brother, Henry. He had been educated for the kirk, was a fair Greek and Latin scholar, but, unfortunately for me, was no mathematician. He was a simple, good-natured kind of man, and I ventured to ask him about algebra and geometry, and begged him, the first time he went to Edinburgh, to buy me something elementary on these subjects, so he soon brought me "Euclid" and Bonnycastle's "Algebra," which were the books used in the schools at that time. Now I had got what I so long and earnestly desired. I asked Mr. Craw to hear me demonstrate a few problems in the first book of "Euclid," and then I continued the study alone with courage and assiduity, knowing I was on the right road. Before I began to read algebra I found it necessary to study arithmetic again, having forgotten much of it. I never was expert at addition, for, in summing up a long column of pounds, shillings, and pence, in the family account book, it seldom came out twice the same way. In after life I, of course, used logarithms for the higher branches of science.
I had to take part in the household affairs, and to make and mend my own clothes. I rose early, played on the piano, and painted during the time I could spare in the daylight hours, but I sat up very late reading Euclid. The servants, however, told my mother "It was no wonder the stock