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LEVER-GEAR MECHANISM OF A PLANIMETER

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When tracing point A is moved along closed curve y=f(x), carriage 1 travels along guide 2 parallel to axis x-x, and gear 3, rigidly attached to lever 4, turns through a certain angle. Through gears 5 and 6 with which it meshes, gear 3 turns recording wheels 8 and 7 whose axes are rigidly attached to gears 5 and 6. The mechanism can solve integrals of the form ∮(y^(3/2))dx=(l^(3/2))(1/sqrt(2))(-∮(sin(3α/2))dx+3∮(sin(α/2))dx where l is the distance between axis x-x and guide 2. The reading of wheel 7 is the value of the first integral, and that of wheel 8 the value of the second.
$2500$LrG,MO$

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Documents: Gear mechanisms  [Streambook]
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