[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]When the quotient of the distances of the points of the sought-after locus to point [b]A[/b] and line [b]r[/b] is a constant [i]k[/i], we obtain a conic section, which will be an ellipse, parabola or hyperbola depending on whether the value of [i]k[/i] (eccentricity) is less than 1, equal to 1, or greater than 1, respectively [url=https://www.gaussianos.com/las-conicas-segun-boscovich/][img]https://www.geogebra.org/resource/scjbyz2p/0tuzuVw455vxurEw/material-scjbyz2p.png[/img][/url].[br][list][*]Note: For a better view of the construction, it is recommended to download the ggb file [url=https://www.geogebra.org/material/download/format/file/id/r3j3fzcu]here[/url].[/*][/list]

[color=#999999]Author of the construction of GeoGebra: [url=https://www.geogebra.org/u/rafael]Rafael Losada[/url].[/color]