#cartesiancoordinates — Public Fediverse posts

#Rotating a #Point about the origin, through some #Angle θ is something that is taught in school #maths class, usually in #CartesianCoordinates, by multiplying the #Coordinates by a the rotation #Transformation #Matrix. What’s not generally taught is that you can apply the same transformation to any #Function y=f(x). All you need to do is replace
x by xcosθ + ysinθ
and y by -xsinθ+ysinθ.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware #ImplicitFunctions

#Rotating a #Point about the origin, through some #Angle θ is something that is taught in school #maths class, usually in #CartesianCoordinates, by multiplying the #Coordinates by a the rotation #Transformation #Matrix. What’s not generally taught is that you can apply the same transformation to any #Function y=f(x). All you need to do is replace
x by xcosθ + ysinθ
and y by -xsinθ+ysinθ.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware #ImplicitFunctions

#Rotating a #Point about the origin, through some #Angle θ is something that is taught in school #maths class, usually in #CartesianCoordinates, by multiplying the #Coordinates by a the rotation #Transformation #Matrix. What’s not generally taught is that you can apply the same transformation to any #Function y=f(x). All you need to do is replace
x by xcosθ + ysinθ
and y by -xsinθ+ysinθ.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware #ImplicitFunctions

#Rotating a #Point about the origin, through some #Angle θ is something that is taught in school #maths class, usually in #CartesianCoordinates, by multiplying the #Coordinates by a the rotation #Transformation #Matrix. What’s not generally taught is that you can apply the same transformation to any #Function y=f(x). All you need to do is replace
x by xcosθ + ysinθ
and y by -xsinθ+ysinθ.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware #ImplicitFunctions

#Rotating a #Point about the origin, through some #Angle θ is something that is taught in school #maths class, usually in #CartesianCoordinates, by multiplying the #Coordinates by a the rotation #Transformation #Matrix. What’s not generally taught is that you can apply the same transformation to any #Function y=f(x). All you need to do is replace
x by xcosθ + ysinθ
and y by -xsinθ+ysinθ.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware #ImplicitFunctions

Just a simple demonstration here of the #locus of a #StraightLine in #ThreeDimensionalSpace in #CartesianCoordinates passing through a known point with #PositionVector a and a direction d. A #Projection onto the x-y plane is also depicted.

#AnimatedGif #FreeSoftware #WxMaxima #Mathematics #Maths #Geometry #MyWork #CCBYSA