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Chapter 13 Resources

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Section 13.1

Learn more about POLAR COORDINATES

Learn more about a POLAR ANGLE

Section 13.2

Learn more about POLAR CURVES

Bifolium

Cardioid

Cissoid of Diocles

Conchoid of Nicomedes

Folium

Lemniscate of Bernoulli

Lima?on of Pascal

Quadrifolium

Rose

Trifolium

Learn more about POLAR SPIRALS

Archimedean Spiral

Archimedes? Spiral

Cotes? Spiral

Epispiral

Fermat?s Spiral

Hyperbolic Spiral

Logarithmic Spiral

Poinsot?s Spirals

Sinusoidal Spiral

Learn more about DIOCLES

Learn more about JACOB BERNOULLI

Learn more about OTHER MATHEMATICIANS NAMED BERNOULLI

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

Ellipse

Hyperbola

Parabola

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 DERIVETM

Section 13.4

Learn more about RECTANGULAR AND POLAR FORM OF COMPLEX NUMBERS

Learn more about the EULER FORMULA

Learn more about LOENHARD EULER

Learn more about DE MOIVRE?S IDENTITY

Learn more about ABRAHAM DE MOIVRE

Learn more about COMPLEX NUMBER AND ELECTRICAL CIRCUITS

Section 13.5

Learn more about TROCHOIDS

Curtate Cycloid

Cyloid

Prolate Cycloid

Learn more about EPICYCLOIDS AND HYPOCYCLOIDS

Epicycloid

1-Cusped OR CARDIOID

2-Cusped or Nephroid

Hypocycloid

3-Cusped or Deltoid OR TRICUSPOID

4-Cusped or Astroid

Learn more about ASSOCIATED CURVES

Learn more about CONTRIBUTING MATHEMATICIANS

Learn more about SIR FRANCIS DRAKE

Learn more about the SHIPS ANDREA DORIA AND STOCKHOLM

Learn more about ROLLER COASTERS

Section 13.6

Learn more about TROCHOIDS

Curtate Cycloid

Cyloid

Prolate Cycloid

Learn more about ASSOCIATED CURVES

Epitrochoid

Hypotrochoid

Learn more about OTHER PLANE CURVES