How to Draw a Straight Line: a Lecture On Linkages
How to Draw a Straight Line: a Lecture On Linkages
Alfred Bray Kempe
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In 1864, eighty years after Watt's discovery, the problem was first solved by M. Peaucellier, an officer of Engineers Fig. 5. in the French army. His discovery was not at first esti- mated at its true value, fell almost into oblivion, and was rediscovered by a Russian student named lipkin, who got a substantial reward from the Russian Government for his supposed originality. However, M. Peaucellier's merit has at last been recognized, and he has been awarded the great mechanical prize of the In...stitute of France, the " Prix Montyon." M. Peaucellier's apparatus is shown in Fig. 5. It has, as you see, seven pieces or links. There are first of all Digitized by Google A LECTURE ON LINKAGES. 13 two long links of equal length. These are both pivoted at the same fixed point ; their other extremities are pivoted to opposite angles of a rhombus composed of four equal shorter links. The portion of the apparatus I have thus far described, considered apart from the fixed base, is a linkage termed a "Peaucellier cell.** We then take an extra link, and pivot it to a fixed point whose distance from the first fixed point, that to which the cell is pivoted, is the same as the length of the extra link ; the other end of the extra link is then pivoted to one of the free angles of the rhombus ; the other free angle of the rhombus has a pencil at its pivot.
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