, (8.1) - (8.3).
1. . D Vi 0, n , , , :
:
x c = ; y c = ; z c = . (8.1¢)
:
x c = ; y c = . (8.2¢)
:
x c = ; y c = ; z c = . (8.3¢)
2. . , (8.2)
, , : , .
3. . . , .
, , , , - Fi - Ci (xi, yi). :
x c = (S F i x i) / (S F i); (8.4)
y c = (S F i y i) / (S F i),
(8.2) , - D F i, - F i.
4. . .
( ) F 1 F 2 .
:
x c = (F 1 x 1 - F 2 x 2)/ (F 1 - F 2);
y c = (F 1 y 1 - F 2 y 2)/ (F 1 - F 2),
C 1(x 1, y 1) - , C 2(x 2, y 2) - .
5. . . , . .
8.1. , (.8.2).
, r g : g = r g, g - . , .
, .
. 6 , :
x c = ; y c = ,
- Li i - , xi, yi - .
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, 5 . , , , , .
, .
, L 1 = 4 , x 1 = 0 , y 1= 2 . , L 2 = 20 , x 2= 3 , y 2= 2 .
:
x c = (L 1 x 1 + L 2 x 2) /(L 1+ L 2) = (4×0 + 20×3)/24 = 5/2 ;
y c = (L 1 y 1 + L 2 y 2) /(L 1+ L 2) = (4×2 + 20×2)/24 = 2 .
, , 1 2 1 2 : 1 / 2 = (x c - x 1)/(x 2 - x c) = L 2 / L 1 = 2,5/0,5.