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Angle Command

Command Descriptions

A

Angle AffineRatio AngleBisector Append Arc Area Asymptote Axes AxisStepX AxisStepY

B

BarChart BinomialCoefficient BoxPlot

C

CellRange Center Centroid Circle CircularArc CircularSector CircumcircularArc CircumcircularSector Circumference Column ColumnName Conic ConjugateDiameter ConstructionStep Corner CorrelationCoefficient CountIf Covariance CrossRatio Curvature CurvatureVector Curve

D

Delete Derivative Determinant Dilate Direction Directrix Distance Div

E

Element Ellipse Expand Extremum

F

Factor First FitExp FitLine FitLineX FitLog FitLogistic FitPoly FitPow FitSin Focus FormulaText FractionText Function

G

GCD

H

Histogram Hyperbola

I

If InflectionPoint Insert Integral Intersect Intersection InverseNormal Invert IsDefined IsInteger Iteration IterationList

J

Join

K

KeepIf

L

Last LCM Length LetterToUnicode Line LinearEccentricity Locus LowerSum

M

MajorAxis Max Mean MeanX MeanY Median Midpoint Min MinorAxis Mod Mode

N

Name Normal

O

Object OsculatingCircle

P

Parabola Parameter Perimeter PerpendicularBisector PerpendicularLine PerpendicularVector Point Polar Polygon Polynomial Product

Q

Q1 Q3

R

Radius RandomBetween RandomBinomial RandomNormal RandomPoisson Ray Reflect Relation RemoveUndefined Reverse Root Rotate

S

Row SD Sector Segment Semicircle SemiMajorAxisLength SemiMinorAxisLength Sequence SigmaXX SigmaXY SigmaYY Simplify Slope Sort Sum Sxx Sxy Syy

T

TableText Take Tangent TaylorPolynomial Text TextToUnicode Translate Transpose TrapezoidalSum

U

UnicodeToLetter UnicodeToText Union UnitPerpendicularVector UnitVector UpperSum

V

Variance Vector Vertex

The Angle command has nine variants:

With "Options" "Angle unit" "Degree", angle is between 0 and 360°
With "Options" "Angle unit" "Radians", angle is between 0 and 2pi

Angle[vector v1, vector v2] - Creates an Angle between two vectors v1 and v2

Note: The angle is marked by a sector and given a name α for example.

Angle - Vectors

Angle[line g, line h] - Angle between the direction vectors of two lines (b and a gives angle α) or (d and c gives angle β) as shown

Note: The angle is marked by a sector and given a name α for example.

Angle - Lines

Angle[point B, point A, point C] - Angle enclosed by AB and AC .

Notes:

• Point A is the apex.
• The angle is marked by a sector and given a name α for example.

Three Points

Angle[point B, point A, angle alpha] - Angle of size α drawn from point B with vertex A.

Notes:

• Point Rotate[B, alpha, A] is created too.
• The angle is marked by a sector and given a name α for example.

Angle - Two Points

Angle[c] - Angle of twist of a conic section c's principle axis (see command Axes)

Note: Angle α is returned in the algebra window but not shown on the model.

Angle - Conics

Angle[vector v] - Angle between x-axis and vector v

Note: The angle is marked by a sector and given a name α for example.

X-Axis and a vector

Angle[point A] - Angle between x-axis and position vector of point A

Note: The angle is marked by a sector and given a name α for example.

Angle X-Axis and a Point

Angle[number n] - Converts a number n into an angle

Angle to a number Example

Angle[polygon poly] - All inner angles of a polygon

Notes:

• The angle of each vertex is marked by a sector and given a name for example α.
• Does not appear to work properly if a slider is used to define the polygon.

Examples

• Inner angles of a polygon Example
• Degrees of Arcs and Angles in Circles

Tools associated with this command:

Angle between

Angle with given size