Ecuacion General de Una Circunferencia

 

BARMANHL OBLB[M@ IB RLM AN[ARLDB[BLANM M SM[YN[ IB QR BARMANHL H[INLM[NM @m baumanñl hrinlmrnm ib ulm anrauldbrblanm ahl abltrh maubrih ahl `m dhrfu`m

(ℌ,)  y

rminh

  bs

ib

( ∛ ℌ) + ( ∛ ) 6    Ibsmrrh``mlih `hs knlhfnhs m` aumirmih y `uboh hriblmfhs `hs tîrfnlhs.

( ∛ ℌ) + ( ∛ ) 6    Rtn`nzmlih b` ibsmrrh``h ib` knlhfnh m` aumirmih

( ∛ ) 6   ∛ ; +      Mp`namlih b` knlhfnh

  ∛ ;ℌ + ℌ +   ∛ ; ; +   ∛   6 3    +  ∛ ;ℌ ∛ ; ; + ℌ +   ∛   6 3  Qn thfmfhs `hs tîrfnlhs hriblmihs ahfh ah fh snstbfms snstbfms

 6 ∛;ℌ   6 ∛;   6 ℌ  +   ∛    Rlm vbz dhrfmihs `hs snstbfms ib fhlhfnhs phibfhs bxprbsmr `m baumanñl oblbrm` ib `m anrauldbrblanm.

  +  +  +  +  6 3  Bs `m dhrfm oblbrm ib `m baumanñl ib `m anrauldbrblanm

 

Ibtbrfnlmfhs `m baumanñl hrinlmrnm ( ∛ =) + ( ∛ =) @`bvîfhs`m m `m dhrfm oblbrm`.

anrauldbr blanm. 6 ;3  ib ulm anrauldbrblanm.

( ∛ ℌ) + ( ∛ ) 6    ( ∛ =) + ( ∛ =) 6 ;3   Ibsmrrh``mlih `hs knlhfnhs m` aumirmih

  ∛ ;(∛=) + (∛=) +   ∛ ;(∛=) + (∛ (∛==) 6 ;3     ∛ ; + = +   ∛ ; ; + = ∛ ;3 6 3 

Qnfp`ndnamfhs

  +  ∛ ; ∛ ; ∛ =7 6 3 

 

Bebfp`h ;5 Ibtbrfnlbfhs `m baumanñl oblbrm` ib `m anrauldbrblanm qub tnblb ahfh ulhs ib sus inífbtrhs m` sbofblth ib rbatm auyhs bxtrbfhs shl `hs pulths  (;,1) y (9,=). ¸Añfh ibtbrfnlmfhs `ms ahhriblmims ib` abltrh ib bsm anrauldbrblanm8 ¸Añfh ibtbrfnlmfhs `m `hlontui ib` rminh ib bsm anrauldbrblanm8

 (;,1) 

(9,=).     6  + ;

  +    6 ; @ms ahhriblmims ib` abltrh ib `m anrauldbrblanm

(ℌ,)   9 + ; ℌ6   6 1  ;  = + 1  6 ;   6 ;  ¸Añfh ibtbrfnlmfhs `m `hlontui ib` rminh ib bsm anrauldbrblanm8

 6  ( ∛ ℌ) + ( ( ∛ )   6   (; (; ∛ 1) + (1 ∛ ;)    6   (∛=) (∛=) +(=)   6 ∕= + =   6 ∕; 

 

Qustntuyblih Qustnt uyblih bl `m dñrfu`m dñrfu`m ib `m baumanñl hrinlmrnm ib `m anrauldbrblanm

( ∛ ℌ) + ( ∛ ) 6    ( ∛ 1) + ( ∛ ;;)) 6 (∕;)  Ibsmrrh``mlih `hs knlhfnhs y snfp`ndnamlih pmrm ``bomr m `m baumanñl oblbrm`

  + ; ;((∛1 ∛1)) + (∛1) +  + ; ;((∛;) ∛;) + (∛;) 6 (∕;)    ∛ 4 + > +   ∛ 9 + 9 6 ;    ∛ 4 + > +   ∛ 9 + 9 ∛ ; 6 3   Mahfhimlih `hs tîrfnlhs ahl sus sbfbemltbs

  +  ∛ 4 ∛ 9 + == 6 3 

 

Ymrbm pmrm b` fmrtbs ;9/==/;3

=. Ibtbrfnlm `m dhrfm oblbrm` ib `m baumanñl ib `m anrauldbrblanm auym baumanñl hrinlmrnm bs

( + 1) + ( + 2) 6 14  

;. Ibtbrfnlm `m dhrfm oblbrm` ib `m baumanñl ib `m anrauldbrblanm auym baumanñl hrinlmrnm bs

( ∛ =) + ( ∛ =) 6 ;3   1. Ibtbrfnlm `m baumanñl oblbrm` ib `m anrauldbrblanm ahl abltrh qub pmsm phr b` pulth (;,=) 

(∛1,∛9)  y