Editing Euclidean geometry (section)

===Design and Analysis===
*'''Stress Analysis''': [[Stress (mechanics)|Stress Analysis]] - Euclidean geometry is pivotal in determining [[Stress–strain analysis|stress distribution]] in mechanical components, which is essential for ensuring [[structural integrity]] and [[durability]].
[[File:Different-types-of-mechanical-stress_EN.svg#%7B%7Bint%3Afiledesc%7D%7D|thumb|Mechanical Stress]]

*'''Gear Design''': [[Gear]] - The design of gears, a crucial element in many [[mechanical system]]s, relies heavily on Euclidean geometry to ensure proper tooth shape and [[engagement]] for efficient [[power transmission]].
[[File:Gear-kegelzahnrad.svg|thumb|150px|Gear]]

* '''Heat Exchanger Design''': [[Heat exchanger]] - In [[thermal engineering]], Euclidean geometry is used to design [[heat exchangers]], where the geometric configuration greatly influences [[thermal efficiency]]. See [[shell-and-tube heat exchanger]]s and [[plate heat exchanger]]s for more details.
[[File:U-tube_heat_exchanger.svg|center|400px|U-Tube Shell and Tube Heat Exchanger]]

* '''Lens Design''': [[Lens]] - In optical engineering, Euclidean geometry is critical in the design of lenses, where precise geometric shapes determine the [[focus (optics)|focusing]] properties. [[Geometric optics]] analyzes the focusing of [[light]] by [[lens]]es and [[mirrors]].
[[File:Lenses en.svg|alt=Types of lenses|center|thumb|450x450px|Types of Lenses]]