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A mechanical mechanism is disclosed for translating a graph in polar coordinates to a corresponding graph in Cartesian coordinates.
English (United States)
This text was extracted from a PDF file.
This is the abbreviated version, containing approximately
87% of the total text.
Page 1 of 1
Circular to Linear Graph Transcriber
A mechanical mechanism is disclosed for translating a graph in polar
coordinates to a corresponding graph in Cartesian coordinates.
Fig. 1 is a side view of the mechanism and Fig. 2 is a top view. A graph
rendered on polar coordinate chart paper is mounted to the upper surface 1 of a
rotating table 2 which is rotated by means of the axis 3 driven by the bevel gears
4 and mounted to the base member 5. The bevel gears are driven by the shaft 6
connected to the rotating cylinder 7, upon whose outer cylindrical surface is
mounted the Cartesian coordinate graph paper upon which the graph is to be
transferred. A motor 8 drives the shaft 6 into rotation, thereby providing rotary
motion to the cylinder 7 and corresponding rotary motion to the table 2.
A parallelogram tracing mechanism 9 is pivotally mounted on a pivot 10
which is supported by the base 5. At a first position 11, a tracing stylus 12 is
mounted on the parallelogram for manually tracing the existing polar coordinate
graph on the chart paper as the table 2 rotates. On another portion 13 of the
parallelogram 9, a pen 14 is mounted for writing engagement with the Cartesian
coordinate chart paper which is rotating on the cylinder 7 synchronously with the
rotation of the polar coordinate chart paper on table 2. As the stylus 12 is forced
to follow the polar coordinate graph on the table 2, the pen 14 will
correspondingly follow the same contour and, by virtue of its writing en...