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Subsections

- Point
- Midpoint
- Center
- Focus
- Vertex
- Centroid
- Intersect
- Root
- Extremum
- InflectionPoint

## Point

###
Point

`Point[`line`]`
  Point on line
`Point[`conic`]`
  Point on conic section (e.g. circle, ellipse, hyperbola)
`Point[`function`]`
  Point on function

`Point[`vector`]`
  Point on vector
`Point[`point P, vector v`]`
  Point P + v

###
Midpoint

`Midpoint[`point A, point B`]`
  Midpoint of A and B
`Midpoint[`segment`]`
  Midpoint of segment

###
Center

`Center[`conic`]`
  Center of a conic section (e.g. circle, ellipse, hyperbola)

###
Focus

`Focus[`conic`]`
  (All) foci of a conic section

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Vertex

`Vertex[`conic`]`
  (All) vertices of a conic section

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Centroid

`Centroid[`polygon`]`
  Centroid of a polygon

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Intersect

`Intersect[`line g, line h`]`
  Intersection point of lines g and h

`Intersect[`line g, conic c`]`
  All Intersection points of g and c (max. 2)

`Intersect[`line g, conic c, number n`]`
  n-th intersection point of g and c

`Intersect[`conic c, conic d`]`
  All intersection points of c and d (max. 4)

`Intersect[`conic c, conic d, number n`]`
  n-th intersection point of c and d

`Intersect[`polynomial f, polynomial g`]`
  All intersection points of f and g

`Intersect[`polynomial f, polynomial g, number n`]`
  n-th intersection point of f and g

`Intersect[`polynomial f, line g`]`
  All intersection points of f and g

`Intersect[`polynomial f, line g, number n`]`
  n-th intersection point of f and g

`Intersect[`function f, function g, point A`]`
  Intersection point of f and g with initial value A (for Newton's method)

`Intersect[`function f, line g, point A`]`
  Intersection point of f and g with initial value A (for Newton's method)

###
Root

`Root[`polynomial f`]`
  All roots of polynomial f (as points)

`Root[`function f, number a`]`
  One root of function f with initial value a (Newton's method)

`Root[`function f, number a, number b`]`
  One root of function f with on interval [a, b] (regula falsi)

###
Extremum

`Extremum[`polynomial f`]`
  All local extrema of polynomial f (as points)

###
InflectionPoint

`InflectionPoint[`polynomial f`]`
  All inflection points of polynomial f

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