Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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bobbym
2013-09-23 03:16:45

Hi;

Theta is an independent variable and r is the dependent one.

prathima
2013-09-23 02:26:27

The spiral has the property that the angle φ between the tangent and radial line at the point (r, \theta) is constant. This property can be expressed in differential geometric terms as

arc cos[(r(θ), r'(θ)/||r(θ)||*||r'(θ)]=arctan(1/b)=⏀

anonimnystefy
2013-09-23 02:14:14

The way it is done is, you take values for θ and calculate the value of r you get.

prathima
2013-09-23 02:07:06

is there any particular formula?
without using any formula how to find θ
as radius varies  θ also varies right?

anonimnystefy
2013-09-23 01:59:39

θ is just a variable, similar to x in y=x^2.

prathima
2013-09-23 01:54:13

in polar coordinates, the logarithmic spiral is given by r=ae^(bθ)
how find θ and how to draw logarithmic spiral