1. Of the manner of holding the violoncello; 2. Of the holding and action of the bow; 3. Of its use in the up and down strokes; 4. Of the tuning of the violoncello; 5. Of the division of the fingerboard into diatonic as well as chromatic tones; 6. Of the fingering in the lower (first) and following positions; 7. Of the way and manner of returning from the higher positions to the first; 8. Of trills and appogiaturas; 9. Of the various kinds of bow action; 10. Of double-stops and arpeggios; 11. And also of the thumb position. He also gives instruction for those who wish to go from the gamba to the violoncello, and then in conclusion gives hints for the accompaniment of singing and for instrumental solos. It is evident that the directions of Corrette have chiefly a mere historical importance, as the technique of the violoncello, after the appearance of his method, underwent substantial changes. His explanation concerning the finger positions of that period and the thumb position which in the higher parts of the fingerboard takes the place of a moveable nut, concerning the manipulation of the bow, and the considerations to be observed in exchanging the gamba for the violoncello have a special interest for us. With regard to the first of these four points, we remark that the finger position adopted by Corrette for the diatonic scale on all the strings was, in the first two positions, 1, 2, and 4; in the “third position,” 1, 2, 3, 4; and in the “fourth,” 1, 2, and 3; after the latter position the fourth finger was as a rule no longer needed, for which Corrette adduces as a reason that it is too short to be made use of in the higher positions of the fingerboard; in case however it should be necessary to use it, the use of the left arm would be impeded. In exceptional cases, says Corrette in another part of his school, the fourth finger could be used in the “fourth position,” without altering the thumb position, for the B flat and B on the A string, for the E flat on the D string, for the A flat on the G string, and for the D flat on the C string. The finger positions were then, in the first half and about the middle of the last century, somewhat different in the diatonic scale of the violoncello than they were later on. It is especially to be remarked that the E and the B were touched with the second finger upon the two lower strings, though the notes marked were far more convenient for the third finger, which very shortly took the place of the second. As to the exclusion of the fourth finger, when playing with the thumb position, no proof is needed to show the reason was that it gave an awkward manner of holding the left hand. The finger positions for the chromatic scale still more widely differed from the fingering employed later, as the following scale shows-- [Illustration]