#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
The cool folks refer to Twitter as the birdsite
The nerdy folks will refer to X as the abscissas-site.
My wife was looking at the properties of #ellipses such as the one where the sum of the distance of all points on the #ellipse from the two foci are the same and how that relates to the standard equation of an ellipse. I wrote these notes up neatly using #LaTeX to explain the relationship.
To put it up here, I converted the #PostScript pages to #PNG format using #GNU #Gimp and the figure was produced using #Tgif.
#Mathematics #Geometry #TwoDimensional #PlaneCurve #CartesianCoordinates #CCBYSA
Khurram Wadee ✅
Flock of Cats 🐈 🐈 🐈 🌸