What would be general formula of a circle in form of variables ?

Murtuza Tipu
Messages
47
Reaction score
2
General formula of a line is ax+b=0
Similarly can we have a general formula of a circle ?
 
Mathematics news on Phys.org
The general formula for a line in a plane is y=mx+c
The general formula for a circle in the x-y plane is x^2+y^2=r^2 (where r is the radius of the circle)
 
HomogenousCow said:
The general formula for a line in a plane is y=mx+c
The general formula for a circle in the x-y plane is x^2+y^2=r^2 (where r is the radius of the circle)

There's an even more general equation for a circle, one whose center is not located at the origin. :smile:
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

I Understanding 3D circle parameterization
Replies
6
Views
2K
B I'm trying to find a general formula for a harmonic(ish) series
Replies
8
Views
2K
B Circle tangent to two lines and another circle
Replies
2
Views
2K
I Equation for circle points in 3D
Replies
3
Views
3K
MHB Equation of Circle in Standard Form
Replies
6
Views
2K
I Finding a general formula for a recursive sequence
Replies
1
Views
1K
B What would need to be possible to make a cube of circles?
Replies
4
Views
1K
MHB What are the coordinates of points equidistant from (1,0) and (5,4)?
Replies
6
Views
1K
B Calculate distance between ends of a circle segment
Replies
22
Views
3K
B Points on a Circle (moving through an obstacle)
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top