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Encyclopedia Britannica



PANTOGRAPH, or PANTAGRAPI (from the Greek sravra, all, and yp64 av, to write)

This article appears in Volume V20, Page 684 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: PAI-PAS
PANTOGRAPH, or PANTAGRAPI (from the Greek sravra, all, and yp64 av, to write) , an
instrument
  for making a reduced, an enlarged, or an exact copy of a plane figure.
In its commonest form it consists of two
long
  arms, AB and AC (fig. 1), jointed together at A, and two short arms, FD and FE, jointed together at F and with the
long
  arms at D and E; FD is made exactly equal to AE and FE to AD, so that ADFE is a parallelogram whatever the
angle
  at A. The
instrument
  is supported parallel to the
paper
  on castors, on which it moves freely- A tube is usually fixed vertically at c, near the extremity of the long arm AC, and similar tubes are mounted on plates which slide along the short arms
BD and FD ; they are intended to hold either the axle pin on a weighted fulcrum round which the instrument turns, or a steel pointer, or a pencil, interchangeably. When the centres of the tubes are exactly in a straight line, as on the dotted line bfc, the small triangle bfD will always be similar to the large triangle bcA ; and then, if the fulcrum is placed under b, the pencil at f, and the pointer at c, when the instrument is moved round the fulcrum as a pivot, the pencil and the pointer will move parallel to each other through distances which will be respectively in the proportion of bf to be ; thus the pencil at f draws a reduced copy of the map under the pointer at c; if the pencil and the pointer were interchanged an enlarged copy would be
drawn
 ; if the fulcrum and pencil were interchanged, and the sliders set for f to bisect be, the map would be copied exactly. Lines are engraved on the arms BD and FD, to indicate the positions to which the sliders must be set for the ratios 4, 4..., which are commonly required.
The square pantograph of Adrian Gavard consists of two graduated arms which are pivoted on a plain bar and connected by a graduated bar sliding between them throughout their entire length, to be set
at any required distance from the plain bar; a sliding
plate
  carrying a
vertical
  tube, to hold either the axle of the fulcrum, the pencil, or the pointer, is mounted on one of the arms and on a prolongation of the plain bar beyond the other arm, and also on the graduated connecting bar; and an additional arm is provided by means of which reductions below or enlargements above the scales given on the instrument can be readily effected.
The eidograph (Gr. &MSos, form) is designed to supersede the panto-graph, which is somewhat unsteady, having several supports and joints. It is composed of three graduated bars, one of which is held over a fulcrum and carries the others, which are lighter, one at each extremity. The three bars are movable from end to end in box-sockets, each having an index and a vernier in contact with the graduated scale. The box-socket of the
principal
  bar turns round the
vertical
  axle of the fulcrum; that of each side bar is attached to a vertical axle, which also carries a grooved wheel of large
diameter
  and turns in a collar at either end of the
principal
  bar. The two wheels are of exactly the same
diameter
  and are connected by a steel band fitting tightly into the grooves, so that they always turn together through identical arcs; thus the side bars over which they are respectively mounted, when once set parallel, turn with them and always remain parallel. A pointer is held at the end of one of the side bars and a pencil at the diagonally opposite end of the other. The bars may be readily set by their graduated scales to positions in which the distances of the pencil and the pointer from the fulcrum will always be in the ratio of the given and the required map scales.
Numerous other modifications have been proposed from time to time; many forms are described in G. Pellehn's Der Pantograph (Berlin, 1903).


End of Article: PANTOGRAPH, or PANTAGRAPI (from the Greek sravra, all, and yp64 av, to write)


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