Number

Length

Length[vector]

Length of a vector

Length[point A]

Length of the position vector of A

Area

Area[point A, point B, point C, ...]

Area of the polygon defined by the given points

Distance

Distance[point A, point B]

Distance of two points A and B

Distance[point A, line g]

Distance of a point A and a line g

Distance[line g, line h]

Distance of lines g and h. The distance of intersecting lines is 0. This function is interesting for parallel lines.

Slope

Slope[line]

Slope of a line. This command also draws the slope triangle whose size may be changed (see Properties, 3.1.1).

Radius

Radius[circle]

Radius of a circle

Parameter

Parameter[parabola]

Parameter of a parabola (distance of directrix and focus)

FirstAxisLength

FirstAxisLength[conic]

Length of a conic section's principal axis

SecondAxisLength

SecondAxisLength[conic]

Length of a conic section's second axis

Excentricity

Excentricity[conic]

Excentricity of a conic

Integral

Integral[function f, number a, number b]

Definite integral of f(x) from a to b. This command also draws the area between the function graph of f and the x-axis.

Integral[function f, function g, number a, number b]

Definite integral of f(x)-g(x) from a to b. This command also draws the area between the function graphs of f and g.

See indefinte integral, 4.3.11.

LowerSum

LowerSum[function f, number a, number b, number n]

lower sum of function f on interval [a,b] with n rectangles. This command draws the rectangles of the lower sum too.

UpperSum

UpperSum[function f, number a, number b, number n]

upper sum of function f on interval [a,b] with n rectangles. This command draws the rectangles of the upper sum too.