Back of Foldout Not Imaged Back of Foldout Not Imaged !PlSS(SaSlI2 CIRCULAR TURNING^ WITH ^practical instructions, FOR PRODUCING CORRESPONDING PIECES IN THE ART. ''MiiWcJl l Z trated b , V C °PP er -P late Engravings, and '$/§Sjr CuU re f trnn g to and explaining the different Ji b£ No. of turns of the screw. No. of turns of the screw. No. of turns of the screw. No. of turns of the screw. 1 ¥ ^ 0 54 .. .. 6 .. .. 60.. .. 48.. 5 to 4 33 .. .. 3 .. .. 36.. .. 30.. 6—5 36 .. .. 6 .. .. 42.. .. 30.. 7—5 69 .. .. 3 .. .. 72.. .. 66.. 12 — 11 58|.. .. If. .. 60.. .. 57.. 20—19 298|.. .. 1|.. ..300.. ..297.. 100 —99 I51|. . . 148|.. ..300.. .. 3.. 100 — 1 N 168 SPECIMEN X. —— A line passed through the centres of the circles which form this Specimen,, will trace the path of a true Epicycloidal curve; and one of the names which have been assigned to this curve is “ The Snail of Pascal.” The following arrangement of the chuck will produce it. The piece of wood, on which the en¬ graving was executed, having been firmly fixed in the chuck, the face of it was turned down to a true plane and smooth surface; and a pointed tool was fixed in the slide rest and was adjusted to the ra¬ dius of the circles, 96 of which form the pattern. The circular movements were adjusted to cause each index to point to the division marked 12. The slide plate 169 next the lathe head was thrown out to the extent of sixteen turns of its screw. The other slide plate was thrown out, in the same direction, to the extent of twelve turns of its screw. A circle was then des¬ cribed. The circular movements were both moved, in the same direction, one division (equal to -5V part of the whole cir¬ cle) and another circle was described; and so on, moving each circle one division, in the same direction, and describing a circle each time, until the figure was completed. SPECIMEN XI A line passed through the centres of the circles which form this Specimen will trace the path of a true Epicycloidal curve; and this curve comprehends the curve of M. Carre. The arrangements of the chuck and slide rest to produce it, are as under. The piece of wood, on which the en¬ graving was executed, was firmly fixed in the chuck, and the face of it was turned down to a true plane and smooth surface. A pointed tool was then fixed in the slide rest and adjusted to the radius of the larg¬ est of the forty-eight circles which form the pattern. The circular movements were adjusted for the index of each to point to the division marked 12. The slide plate 171 next the lathe head was thrown out to the extent of eight turns of its screw. The other slide plate was thrown out, in the same direction, to the extent of sixteen turns of its screw ; and a circle was then described. The circular movements were both moved in the same direction, two divisions, (equal to — parts of the whole circle) and the radius of the circle was decreased, by turning the slide rest screw one-twelfth part round, and then ano¬ ther circle was described. The circular movements were again moved two divi¬ sions each, in the same direction; and the radius of the circle was further de¬ creased by turning the slide rest screw another twelfth part round, and another circle was described. And so on, moving the circles two divisions, and decreasing the radius of the circle each time by turn¬ ing the slide rest screw one-twelfth of a turn, until the index to each circle pointed to division marked 6, when the figure will have progressed to the smallest of the 48 circles; and, then, the radius of the re¬ maining circles is to be increased, at each adjustment of the circular movements, by turning the slide rest screw one-twelfth part of a turn, in the contrary direction, until the index to each circular movement again pointed to division marked 12, when the pattern was completed. 173 SPECIMEN XII. —» — A line passed through the centres of the circles which form this Specimen will trace the path of a true Epicycloidal curve; and the arrangements of the chuck, for producing the outermost set of circles, are as under. The piece of wood on which the en¬ graving was executed, was firmly fixed in the chuck, and the face of it was turned down to a true plane and smooth surface. A pointed tool was then fixed in the slide rest and adjusted to the radius of the small circles, ninety-six of which form the pat¬ tern. The circular movements were ad¬ justed for the index, to each of them, to point to division marked 12. The slide plate next the lathe head was thrown out 174 to the extent of twenty-two turns of its screw; and the other slide plate was thrown out to the extent of five turns of its screw. A circle was then described. The circular movement next the lathe head was then moved two divisions; and the other circular movement was moved one division,, in the same direction; and then another circle was described: and so on, moving the circular movement next the lathe head two divisions and the other circular movement one division, and describing a circle each time,, until the whole ninety-six circles were com¬ pleted. The internal curve is of the same cha¬ racter and proportionate to the other, and is composed of the same number of circles of larger diameter. 175 CONCLUSION. The Specimens which I have now given will have developped, in some degree, the system by which various geometrical fi¬ gures may be delineated by combining a right line with a circular adjustment; and it is quite obvious that the path of every possible curve and figure may be mathe¬ matically traced by means of such an in¬ strument as a Compound Eccentric Chuck. The Geometric Pen, invented by The Count Suardi, is capable of delineating an infinite variety of curves, by the continu¬ ous motion of a point acting against a fixed surface. My Compound Eccentric Chuck is capable of delineating and recording the path of the same curves, by means of dots and circles; and the Specimens I have 176 given will shew, though to a very limited extent, that it possesses this power. I will only add, that it will afford me plea¬ sure to explain my Chuck to any Gen¬ tleman, who is an Amateur Turner, and who may be desirous of adding to his Turning Apparatus such an instrument as my Compound Eccentric Chuck. Any ap¬ plication addressed to me shall be imme¬ diately attended to, and I will appoint a time when I will be at home to shew the Chuck. J. H. Ibbetson. 3, Brompton Grove, Knightsbridge. SUPPLEMENTARY SPECIMENS Referred to in the Note at page 165. SiPECMIEM MT »