The Gardeners' Chronicle and Agricultural Gazette . m the oneof least resistance. Though unable, myself, o state allthe conditions on which such a choice must depend, Ishall pursue the subject a little farther, in the hope ofexciting the attention of any among your readers whomay be in the habit of conducting such mathematicalinquiries. It requires but little consideration to see, that whilethe turf is being raised from the horizontal to its verticalposition, I very particle in the lower surface of it mustdescribe a quadrant of a circle. Were any particle in the lower surface of the sod to•cor
The Gardeners' Chronicle and Agricultural Gazette . m the oneof least resistance. Though unable, myself, o state allthe conditions on which such a choice must depend, Ishall pursue the subject a little farther, in the hope ofexciting the attention of any among your readers whomay be in the habit of conducting such mathematicalinquiries. It requires but little consideration to see, that whilethe turf is being raised from the horizontal to its verticalposition, I very particle in the lower surface of it mustdescribe a quadrant of a circle. Were any particle in the lower surface of the sod to•core a mark on the surface of the mould-board, as itpasses over it, that mark would, whatever were the formof the mouldboard, be equi-distant in every point fromthe zixis of the turf; it would, in short, lie in the surfaceof a cylinder whose axis was that of the turf; taking anylongitudinal row of particles [in the turf—that, for in-stance, along the outer edge of its lower surface, and stop-ping the plough when it was engaged in turning the turf. —that row of panicles would, whatever were the form ofthe mould-board, lie in the surface of a cylinder whoseaxis was that of the furrowslice, and whose radius was itsbreadth. If, now, we canascertain theformof the curvedline on the surface of the cylinder, which this row ofparticles in the turf would assume, while it was beingforced in the easiest way from its original to its ultimateposition ; then, joining this line with the axis \i thecylinder by straight lines at right angles to the axis, weat once obtain the required surface. I shall first showhow the position and nature of this line will affect thenature of the curved surface of our mould-board. In the annexed figure I have given a perspective viewof the quadrant of a cylinder e c, Ijing on its plain surface, a 4c (/,with a curvedline, a Iff,drawn upon axis of thecylinder beingthat of theturf, it is evi-dent that sotar as the frontand most im-portant par
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Keywords: ., bookcentury1800, bookdecade1840, bookidg, booksubjecthorticulture
