Chapter 13 Links

Section 13.1

Learn more about POLAR COORDINATES

• Polar Coordinates ? Visual Calculus
• Polar Coordinates ? MathWorld
• Cartesian, Polar, and Oblique Coordinates Applets

Learn more about a POLAR ANGLE

Section 13.2

Learn more about POLAR CURVES

Bifolium

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Cardioid

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Cissoid of Diocles

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Conchoid of Nicomedes

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Folium

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Lemniscate of Bernoulli

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Lima?on of Pascal

• MathWorld
• Linkage ? JAVA Applet ? Geometer?s Sketchpad^TM
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Quadrifolium

• MathWorld

Rose

• MathWorld
• A Visual Dictionary of Famous Plane Curves

Trifolium

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Learn more about POLAR SPIRALS

Archimedean Spiral

• MathWorld

Archimedes? Spiral

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Cotes? Spiral

• MathWorld

Epispiral

• MathWorld

Fermat?s Spiral

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Hyperbolic Spiral

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Logarithmic Spiral

• MathWorld

Poinsot?s Spirals

• MathWorld

Sinusoidal Spiral

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Learn more about DIOCLES

Learn more about JACOB BERNOULLI

Learn more about OTHER MATHEMATICIANS NAMED BERNOULLI

• Daniel Bernoulli
• Jacob Bernoulli II
• Johann Bernoullihttp://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Johann.html
• Johann Bernoulli II
• Johann Bernoulli III
• Nicolaus Bernoulli I
• Nicolaus Bernoulli II

Learn more about NICOMEDES

Learn more about APOLLONIUS OF PERGA

Learn more about ETIENNE PASCAL

Learn more about GILLES ROBERVAL

Learn more about EVANGELISTA TORRICELLI

Learn more about CONIC SECTIONS IN POLAR FORM

Circle

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Ellipse

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Hyperbola

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Parabola

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Section 13.3

Learn more about INTERSECTIONS OF CURVES IN POLAR COORDINATES

Learn more about the GEOMETRY OF INTERSECTING TUBES

Learn more about GRAPHING POLAR CURVES IN DERIVE^TM

• n-Leafed Rose
• Cardioid

Section 13.4

Learn more about RECTANGULAR AND POLAR FORM OF COMPLEX NUMBERS

• David Joyce ? Clark University
• Trigonometry and Complex Numbers ? Ask Dr. Math
• Harvey Mudd College

Learn more about the EULER FORMULA

Learn more about LOENHARD EULER

• MacTutor History of Mathematics
• World of Biography
• Trinity College Dublin

Learn more about DE MOIVRE?S IDENTITY

Learn more about ABRAHAM DE MOIVRE

• MacTutor History of Mathematics
• World of Biography

Learn more about COMPLEX NUMBER AND ELECTRICAL CIRCUITS

• Does Anyone Ever Use Complex Numbers?
• Lessons in Electric Circuits

Section 13.5

Learn more about TROCHOIDS

Curtate Cycloid

• MathWorld
• Animated Image

Cyloid

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews
• Animated Image

Prolate Cycloid

• MathWorld
• Animated Image

Learn more about EPICYCLOIDS AND HYPOCYCLOIDS

• A Visual Dictionary of Famous Plane Curves

Epicycloid

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

1-Cusped OR CARDIOID

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

2-Cusped or Nephroid

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Hypocycloid

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

3-Cusped or Deltoid OR TRICUSPOID

• MathWorld
• A Visual Dictionary of Famous Plane Curves
• University of St. Andrews
• JAVA Applet ? University of St. Andrews

4-Cusped or Astroid

• Math World
• A Visual Dictionary of Famous Plane Curves
• Univesity of St. Andrews
• JAVA Applet ? University of St. Andrews

Learn more about ASSOCIATED CURVES

• Definitions
• Caustics
• Catacaustic
• Cycloid Catacaustic
• Evolute
• Cycloid Evolute
• Epicycloid Evolute
• Hypocycloid Evolute
• Involute
• Cycloid Involute
• Epicycloid Involute
• Hypocycloid Involute

Learn more about CONTRIBUTING MATHEMATICIANS

• DANIEL BERNOUILLI
• JACOB BERNOUILLI
• JOHANN BERNOUILLI
• GUILLIAME DE L?H?PITAL
• GIRARD DESARGUES
• ALBRECHT D?RER
• LEONHARD EULER
• CHRISTIAAN HUYGENS
• PHILIPPE DE LA HIRE
• GOTTFRIED LEIBNIZ
• SIR ISAAC NEWTON

Learn more about SIR FRANCIS DRAKE

• Modern History Sourcebook
• Sir Francis Drake and the Circumnavigation

Learn more about the SHIPS ANDREA DORIA AND STOCKHOLM

• The Greatest Rescue of All Time
• Lost Liners
• The Andrea Doria Sinking
• A Photographer?s High Drama

Learn more about ROLLER COASTERS

• Roller Coaster Database

Section 13.6

Learn more about TROCHOIDS

Curtate Cycloid

• MathWorld
• Animated Image

Cyloid

• MathWorld
• University of St. Andrews
• JAVA Applet ? University of St. Andrews
• Animated Image

Prolate Cycloid

• MathWorld
• Animated Image

Learn more about ASSOCIATED CURVES

Epitrochoid

• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Hypotrochoid

• University of St. Andrews
• JAVA Applet ? University of St. Andrews

Learn more about OTHER PLANE CURVES

• MathWorld