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Intersect 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

• Intersect[object A, object B]
• Intersect[object A, object B, number N]
• Intersect[object A, object B, point P]

Action

Creates intersection points of A and B. More precisely

• Intersect[Line g, Line h]: Yields the intersection point of lines g and h.
• Intersect[Line, Conic]: Yields all intersection points of the line and conic section (max. 2).
• Intersect[Line, Conic, Number n]: Yields the nth intersection point of the line and the conic section.
• Intersect[Conic c1, Conic c2]: Yields all intersection points of conic sections c1 and c2 (max. 4).
• Intersect[Conic c1, Conic c2, Number n]: Yields the nth intersection point of conic sections c1 and c2.
• Intersect[Polynomial f1, Polynomial f2]: Yields all intersection points of polynomials f1 and f2.
• Intersect[Polynomial f1, Polynomial f2, Number n]: Yields the nth intersection point of polynomials f1 and f2.
• Intersect[Polynomial, Line]: Yields all intersection points of the polynomial and the line.
• Intersect[Polynomial, Line, Number n]: Yields the nth intersection point of the polynomial and the line.
• Intersect[Function f, Function g, Point A]: Calculates the intersection point of functions f and g by using Newton's method with initial point A.
• Intersect[Function, Line, Point A]: Calculates the intersection point of the function and the line by using Newton's method with initial point A.

Notes

• For segments and rays you can switch on or of outlying intersections via object properties
• To get the result as list, type {Intersect[A,B]}