Category:Conic Sections
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This category contains results about Conic Sections.
Definitions specific to this category can be found in Definitions/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 32 subcategories, out of 32 total.
A
B
- Brianchon's Theorem (2 P)
C
- Centers of Conic Sections (2 P)
D
- Dandelin's Theorem (5 P)
- Diameters of Conic Sections (1 P)
- Director Circles (empty)
E
- Equation of Conic Section (5 P)
F
- Focal Radii (empty)
H
L
P
- Pascal's Theorem (5 P)
S
- Semimajor Axes (empty)
V
Pages in category "Conic Sections"
The following 20 pages are in this category, out of 20 total.