curves

Table of Contents

• loci

  • astroid
  • hippias' quadratrix
  • limacon of pascal
  • nephroid
  • piriform
  • ranunculoid
  • the cissoid of diocles
  • the witch of agnesi
  • an apollonian circle
  • conchoid of a circle
  • conchoid of nicomedes
  • constructing a hyperbola...
  • constructing a parabola
  • constructing an ellipse...
  • cycloids
  • deltoid
  • eight curve (construction)
  • ellipse as a hypotrochoid
  • ellipses and hyperbolas
  • a definition of conics (directrix)
  • bifolium
  • kappacurve
  • right strophoid
  • folium
  • torpedo curve
  • constructing a trifolium
  • trifolium-1
  • bicorn
  • trisectrix of maclaurin
  • deltoid
  • astroid
  • versoria
  • limacon of pascal-1
  • cardioid-1
  • cissoid of diokles
  • lemniscate of bernoulli
  • eightcurve
  • conchoid of nicomedes-1
  • ellipse-1
  • hyperbola-1
  • parabola-1
  • Rolling Coin 滾動的硬幣 (1)

• parametric

  • five roses
  • hyperbolic spiral
  • involute of a circle
  • lituus
  • rose curves
  • the logarithmic spiral
  • cardioid
  • cochleoid
  • eight curve
  • fermat's spiral
  • archimedes' spiral
  • a butterfly curve
  • devil's curves
  • parametric ellipse
  • trifolium
  • parametric hyperbola
  • fish curve
  • devil's curves-1
  • devil's curves-2
  • circle-1
  • a butterfly curve-1
  • devil's curves-3

• graphs of functions

  • f(x)=sinx/x
  • the exponential and the logarithmic functions
  • exploring sine curves
  • f(x)=(cosx-1)/x
  • f(x)=a/(x-b)+c
  • f(x)=asin(b(x-c))+d
  • f(x)=atan(b(x-c))+d
  • f(x)=ax^2+bx+c
  • f(x)=ax^4+bx^2+c
  • f(x)=xsin(1/x)
  • f(x)=xlnx-x+c
  • function and derivatives-3
  • f(x)=q+sqrt(r^2-(x-p)^2)
  • f(x)=psinx+qcosx
  • the bell curve