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This page is intended to differentiate some kind of gears by their (hopefully) correct names.
There will be not much information about the design in detail; there are enough proper descriptions in the wiki pages and elsewhere in the www.
A Gear is a toothed wheel that can be paired with other gears, racks, chains, or belts to form a gear train (which is usually called a gear as well).
Native speakers, feel invited to add local synonyms, or spelling variations
A bevel gear meshes with another bevel gear to connect two angled rotation axes.
Two meshing bevel gears
The FCGear BevelGear tool creates a basic bevel gear, a solid object that needs to be trimmed to shape in following steps.
Left: Raw bevel gears as created with FCGear BevelGear. Right: Bevel gears trimmed to a more recognisable shape.
See lantern gear.
The driving gear (attached to the crank arms) of a bicycle drivetrain is usually called a chain wheel. See cog wheel and sprocket.
The driven gear (attached to the rear wheel) of a bicycle drivetrain is usually called a cog. See cog wheel and sprocket.
A cog wheel, or cogged wheel, is an assembly of a hub(?) and several inserted teeth, the actual cogs.
Cog wheel and a single cog ready to get inserted)
Early wooden cog wheels were used to drive lantern gears. See gear trains.
The cogs could have other angles than 90° relative to the axis to build angled gear trains:
Large cog wheel resembling a Crown gear
Cog wheels have been replaced with single body gears that are called sprockets if they mesh with cylindrical teeth such as the rollers of a (roller) chain, or ladder-like roller racks.
A crown gear is similar to a larger bevel gear, but meshes with spur gears instead of another bevel gear. See Crown gear and spur gear.
Crown gear
FreeCAD provides a tools to model crown gears:
A double helical gear has two symmetric rows of helical teeth that have an angle other than 90° to the axis of rotation. Double helical gears mesh with other double helical gears, double helical racks, or internal double helical gears.
FreeCAD provides two tools to model double helical gears:
A helical gear has helical teeth that have an angle other than 90° to the axis of rotation. Helical gears mesh with other helical gears, helical racks, or internal helical gears. See Skew gears.
FreeCAD provides two tools to model helical gears:
The FCGear InternalInvoluteGear tool creates an internal involute gear.
A lantern gear is an assembly of a front plate(?) and a back plate(?) and several bolts called rollers connecting both plates.
This kind of gear looks similar to an ancient lantern or a bird cage, that's why it's called lantern gear or cage gear.
Lantern gear and a single roller ready to get inserted
Early wooden lantern wheels were driven by cog wheels. See cog wheel gear trains.
Pinions are sprockets that are paired with racks.
A sprocket is a gear meshing with roller racks, roller chains, or timing belts, but not with another sprocket.
FreeCAD provides three tools to model sprockets:
A spur gear has straight teeth that are aligned parallel to the axis of rotation. Spur gears mesh with other spur gears, racks, or internal gears.
FreeCAD provides two tools to model spur gears:
Timing (belt) pulleys or or toothed pulleys are sprockets to use with timing belts.
The FCGear WormGear tool creates a WormGear.
A Rack is like a gear segment having an infinite radius.
Cycloid rack
FreeCAD provides a tool to model cycloid racks for spur gearing, helical gearing, and double helical gearing:
Involute rack
FreeCAD provides a tool to model involute racks for spur gearing, helical gearing, and double helical gearing:
Two properly paired bevel gears mesh with each other
A cog wheel on the left meshes with a lantern gear (with its front plate removed) on the right
A large cog wheel in the background (similar to a crown gear) meshes with a lantern gear
See Rack and pinion.
A crown gear meshes with a spur gear
Skew gears are paired helical gears having non-parallel and offset axes of rotation
A pinion (or cog wheel) meshes with a (ladder-like) roller rack
A spur gear meshes with a rack. Left: Cycloid gearing. Right: Involute gearing