Beautiful Mathematical Curves 2

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Ten curves with equations derived on the basis of Functional-theoretic_algebra. For the theory visit http://en.wikipedia.org/wiki/Functional-theoretic_algebra & http://en.wikipedia.org/wiki/N-curve

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Slide 1 : 1/8/2010 1 Curves with Equations. The equations have been derived by the author. These curves are drawn using Matlab. Each curve represents a family of curves. The equations follow the curves. For the theory, you may look for ‘Functional Theoretic Algebra’ and ‘n-curve’ in Wikipedia. Sebastian Vattamattam Beautiful Mathematical Curves Curves 11 - 20

Slide 2 : 2 1/8/2010 Curve No. 11 Curve of the form an_- a, where a is the Double Folium Curve of the form an- a, where a is the Rhodonea Curve r = cos(3q)

Slide 3 : 3 1/8/2010 Curve No. 12

Slide 4 : 4 1/8/2010 Curve No. 13 Curve of the form an - a, where a is the Crooked Egg

Slide 5 : 5 1/8/2010 Curve No. 14

Slide 6 : 6 1/8/2010 Curve No. 15 The n-Curved Archimedean Spiral with (un,a), where a is the Crooked Egg.

Slide 7 : 7 1/8/2010 Curve No. 16 Curve of the form an – a, where a is the unit circle Curve of the form an – a, where a is the unit circle

Slide 8 : 8 1/8/2010 Curve No. 17 The n-Curved Archimedean Spiral with (an, u), where a is the Crooked Egg

Slide 9 : 9 1/8/2010 Curve No. 18 The n-Curved Archimedean Spiral with (un,a) ,where a is the Astroid

Slide 10 : 10 1/8/2010 Curve No. 19 The n-Curved Cosine Curve with Astroid

Slide 11 : 11 1/8/2010 Curve No. 20 The n-circled line segment y = x, 0 = x = 1

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Sebastian Vattamattam
Professor of Mathematics
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