The vast majority of gear wheels are wholly conventional and go about their daily rounds without fuss or bother. The extraordinary deviations from the norm that are pictured here are unusual,to put it mildly, and it is a moot point as to whether some of these drawings found a home in a real piece of machinery. If these perverse mechanical arrangements are the answer, you may need to change the question.
The drawings here are taken from the book "Mechanical Movements, Devices and Appliances" by Gardner D Hiscox, published by Sampson Low, Marston & Co in 1899. The contemporary descriptions from this volume are in quote marks.
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| Left: INTERMITTENT MOTION OF SPUR GEAR.
"A is the driver. The pin J and the dog L are on the front side of the gear; the pin R and dog P are on the back. This class of gears may be made in varying proportion to suit the required stop motion of the gear B, A being the driver."
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| Left: INTERMITTENT MOTION OF SPUR GEAR.
"In which the dogs G and F form a part of the driven gear B. This form allows of varying proportions of stop and speed motion in the two gears. A is the driving gear."
Apparently inspired by Munch's "The Scream":
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| Left: VARIABLE SECTIONAL MOTION.
"...from sector gears. The sectors are arranged on different planes, so that each pair shall be matched and all so adjusted that their teeth will mesh at their proper periods."
This process of adjustment seems to have failed in the example shown here. Two ratios (green and beige) are engaged at once, which would jam the whole thing solid.
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By now you are probably thinking that this is all so much hot air, and that no-one would ever actually attempt to make gearwheels anything like this. Wrong...
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| Left: VARIABLE GEAR RATIO PUMP.
This is the drive mechanism of a water pump built in the USA, which actually exceeds in surrealism the diagrams above. Not only do the larger driven gears have a non-constant radius, but the point of engagement is shifted back and forth between the three pinions on the driving shaft. These pinions are not only different sizes, but they are also mounted off center on the shaft. As the shaft rotates the point of mesh moves sideways to meet the side shifting teeth on the large gear. According to Terry Wilson, this sort of gear was very common on early gas powered water well pumps in the US. It gave high speed when the pump rod was descending, and a lot of torque when it was lifting the water.
Picture kindly provided by Terry Wilson.
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Here is another demonic gearwheel in real life:
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| Left: Self-reversing gear drive.
This remarkable gearwheel is part of the drive mechanism on a beetling machine.
The small gear on the vertical shaft drives the large gear; after the latter has completed almost a full revolution the stub at the end of the vertical shaft encounters a curved abutment that guides the small gear shaft sideways so it engages with the teeth on the opposite side of the large gearwheel, which is then driven back in the reverse direction. At the end of the travel the small gear swops sides again. Note the bearing just above the small gear, which allows for lateral movement.
Quite what the purpose of this forward/reverse drive was in the the beetling machine I could not determine.
The beetling machine is in the Museum of Scotland, Edinburgh.
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Beetling is a process applied to linen, and cotton fabrics made to resemble linen, to produce a hard, flat surface with high lustre and to make the texture less porous; the fabric is dampened and pounded with heavy wooden mallets.
