Key details include:
DIN provides a function on their official shop (www.beuth.de). For DIN 867, you can often read the first 2-3 pages online. These pages typically include the title, scope, and the critical table of parameters and tooth geometry diagram. For many quick checks, this is sufficient. din 867 pdf free download
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is a German standard (Deutsches Institut für Normung) titled "Basic rack tooth profiles for involute teeth of cylindrical gears for general engineering and heavy machinery." While the title is a mouthful, the concept is elegant and essential. For many quick checks, this is sufficient
Official standards are typically proprietary and require purchase from authorized distributors. You can find the full document or previews at the following providers: Basic Rack Tooth Gear Profiles DIN 867 - Engineers Edge
In gear design, defining the shape of every single gear tooth for every possible gear diameter would be mathematically exhausting. Instead, engineers use a theoretical tool called a "Basic Rack."
Imagine a straight line of teeth, like a segment of a rack and pinion system. If you imagine this rack as a cutting tool and the gear as a blank piece of metal, the shape of the gear tooth is generated as the rack "cuts" into the blank (via generating motion).