Linear Combination

[color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/sw2cat9w]GeoGebra Principia[/url].[/color][br][br][br]We can generalize the sums and differences to any linear combination of distances between points, point and line, point and circle, etc.[br] [br]This leads to conic sections and quartic curves (Cartesian ovals, products of lines...), Pascal's limaçon [url=https://en.wikipedia.org/wiki/Lima%C3%A7on][img]https://www.geogebra.org/resource/scjbyz2p/0tuzuVw455vxurEw/material-scjbyz2p.png[/img][/url], as well as higher-degree curves formed as products of the aforementioned curves.
[color=#999999]Author of the construction of GeoGebra: [url=https://www.geogebra.org/u/rafael]Rafael Losada[/url].[/color]

Information: Linear Combination