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Perimeter - перевод на немецкий
![[[cardoid]] <math>\gamma:[0,2\pi] \to \mathbb{R}^2 </math><br/>(drawing with <math>a=1</math>)<br/><math>x(t) = 2 a \cos(t) (1 + \cos(t))</math><br/><math>y(t) = 2 a \sin(t) (1 + \cos (t))</math><br/><math>L = \int_0^{2\pi} \sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt = 16a</math>](https://commons.wikimedia.org/wiki/Special:FilePath/Herzkurve2.svg?width=200 "[[cardoid]] <math>\gamma:[0,2\pi] \to \mathbb{R}^2 </math><br/>(drawing with <math>a=1</math>)<br/><math>x(t) = 2 a \cos(t) (1 + \cos(t))</math><br/><math>y(t) = 2 a \sin(t) (1 + \cos (t))</math><br/><math>L = \int_0^{2\pi} \sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt = 16a</math>")
![The more one cuts this shape, the lesser the area and the greater the perimeter. The [[convex hull]] remains the same.](https://commons.wikimedia.org/wiki/Special:FilePath/Hexaflake.gif?width=200 "The more one cuts this shape, the lesser the area and the greater the perimeter. The [[convex hull]] remains the same.")
![The [[Neuf-Brisach]] fortification perimeter is complicated. The shortest path around it is along its [[convex hull]].](https://commons.wikimedia.org/wiki/Special:FilePath/Neuf Brisach.jpg?width=200 "The [[Neuf-Brisach]] fortification perimeter is complicated. The shortest path around it is along its [[convex hull]].")
Определение
Википедия
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden. The perimeter of a wheel/circle (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter; if the length of the string was exact, it would equal the perimeter.
