GeoGebra

AffineRatio 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

Syntax: AffineRatio[point A, point B, point C]

Action: Returns the affine ratio λ of three collinear points A, B, and C, where C = A + λ * AB

Example: AffineRatio[A, B, C]

Notes:

• λ is the ratio of the distance from A to C to the distance from A to B.
• If C is between A and B then 0 < λ < 1.

AffineRatio Example