Figure 2.39 shows a representative line segment. If we want to find the arc length of the graph of a function of y, y, we can repeat the same process, except we partition the y-axis y-axis instead of the x-axis. Programmes I have available are: TurboCad 15 deluxe, sketchup, solidworks(don't know how use properly), freecad(just downloaded). Arc Length of the Curve x g(y) We have just seen how to approximate the length of a curve with line segments. If C is a smooth curve defined by the vector function r, recall that the unit tangent vector T(t) is given by and indicates the direction of the curve. A smooth curve has no sharp corners or cusps when the tangent vector turns, it does so continuously. Most of my drawing are done using TurboCad in 2D format. A curve is called smooth if it has a smooth parametrization. I have also managed to export the sketchup as a dxf file and opened in turbo cad a 3D rendering of a half hull but cant seem to get any further. I have managed to use sketchup(free) to draw the frames into a 3D representation of a half hull, the surfaces which develope from it are not smooth curves and I don't seem to be able to generate gcode for it or at least cant find the gcode if it generated. Each quarter would have to be made up of slices to get the desired beam of the hull. The hull I would like to develop for cutting, would have to made into 4 quarters. I am using a 1200 x 1200mm cnc router with a gantry, the Z travel is around 80mm. from which I would then have convert into a solid surface to get cam tool paths. I would then need to get into a 3D aspect to be able to project a "wireframe" type of 3d hull. I have done this using TurboCad and generated 2D drawing of the frames. I have a table of offsets from which I can draw the individual frames for a boat hull.
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