Category:Definitions/Conic Sections

From ProofWiki
Jump to: navigation, search

This category contains definitions related to Conic Sections.
Related results can be found in Category:Conic Sections.


A conic section is a plane curve which can be specified in terms of:

a given straight line $D$ known as the directrix
a given point $F$ known as a focus
a given constant $\epsilon$ known as the eccentricity.


Let $K$ be the locus of points $b$ such that the distance $p$ from $b$ to $D$ and the distance $q$ from $b$ to $F$ are related by the condition:

$(1): \quad q = \epsilon \, p$

Then $K$ is a conic section.


Equation $(1)$ is known as the focus-directrix property of $K$.

Subcategories

This category has the following 3 subcategories, out of 3 total.

E

H

P