Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 11

Lemniscate

 * $11.1$: Lemniscate of Bernoulli: Polar Definition
 * $11.2$: Lemniscate of Bernoulli: Cartesian Definition


 * $11.3$: Slope of Tangent to Lemniscate at Origin


 * $11.4$: Area of Lobe of Lemniscate of Bernoulli

Cycloid

 * $11.5$: Equation of Cycloid


 * $11.6$: Area under Arc of Cycloid


 * $11.7$: Length of Arc of Cycloid


 * Cycloid

Hypocycloid with Four Cusps

 * $11.8$: Equation of Astroid: Cartesian Form


 * $11.9$: Equation of Astroid: Parametric Form


 * $11.10$: Area inside Astroid


 * $11.11$: Length of Arc of Astroid


 * Astroid

Cardioid

 * $11.12$: Equation of Cardioid: Polar


 * $11.13$: Area inside Cardioid


 * $11.14$: Length of Perimeter of Cardioid


 * Cardioid

Catenary

 * $11.15$: Equation of Catenary


 * Catenary

Three-Leaved Rose

 * $11.16$: Trifolium: Cosine Form
 * Trifolium: Sine Form


 * Number of Petals of Odd Index Rhodonea Curve

Four-Leaved Rose

 * $11.17$: Quadrifolium: Cosine Form
 * Quadrifolium: Sine Form


 * Number of Petals of Even Index Rhodonea Curve

Epicycloid

 * $11.18$: Equation of Epicycloid


 * Epicycloid
 * Cardioid

General Hypocycloid

 * $11.19$: Equation of Hypocycloid


 * Hypocycloid

Trochoid

 * $11.20$: Equation of Trochoid


 * Trochoid


 * Curtate Trochoid
 * Prolate Trochoid
 * Cycloid

Tractrix

 * $11.21$: Equation of Tractrix: Parametric Form


 * Tractrix

Witch of Agnesi

 * $11.22$: Equation of Witch of Agnesi: Cartesian
 * $11.23$: Equation of Witch of Agnesi: Parametric Form


 * Witch of Agnesi

Folium of Descartes

 * $11.24$: Folium of Descartes: Cartesian Form
 * $11.25$: Folium of Descartes: Parametric Form


 * $11.26$: Area of Loop of Folium of Descartes


 * $11.27$: Asymptote to Folium of Descartes

Involute of a Circle

 * $11.28$: Parametric Equation of Involute of Circle


 * Involute

Evolute of an Ellipse

 * $11.29$: Evolute of Ellipse: Cartesian Form
 * $11.30$: Evolute of Ellipse: Parametric Form

Ovals of Cassini

 * $11.31$: Equation of Ovals of Cassini: Polar Form


 * Ovals of Cassini
 * Ovals of Cassini: Shape


 * Lemniscate of Bernoulli is Special Case of Ovals of Cassini

Limacon of Pascal

 * $11.32$: Equation of Limaçon of Pascal: Polar Form


 * Limaçon of Pascal
 * Limaçon of Pascal:Shape

Cissoid of Diocles

 * $11.33$: Equation of Cissoid of Diocles: Cartesian Form


 * $11.34$: Equation of Cissoid of Diocles: Parametric Form


 * Cissoid of Diocles

Spiral of Archimedes

 * $11.35$: Archimedean Spiral