, , . . , , , , . , , X,Y,Z . ( (0,0,0), = 1, =0) .
: ( X , Y , Z )
- , . :
Dx = Dl* sin()*cos(), Dy = Dl* sin()*sin(),
( )
Dz = Dl*cos()
- : . , , , , , , . :
Dx = ,
Dy = ,
Dz = .
- . , . , . , , .
, ( ) - , :
, , , ,
:
Dx =
Dy = Dz =
. : x = x(t), y = y(t), z = z(t). t = t0 (x¢(t0),y¢(t0), z¢(t0)). .
|
|
1 ( )
=arcsin()
| =arctg() |
l, t=t0: l= ,
( l=0 t= ). , , , , .
, .
1.. | x = 5*t y = 5*t z = | |
2. | x = axt2+bxt+cx y = ayt2+byt+cy z = azt2+bzt+cz | c=4(ax2+ay2+az2), b=4(axbx+ayby+azbz) a=bx2+by2+bz2, R=a+bt+c2t, D=4ac-b2 ax=1,bx=6,ay=5,by=1,az=7,bz=1,cx=cy=cz=0 |
3. | x = 5*ln(t) y = t-1 z = 25*ln(t) | + const |
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1. .. , .. . ( ). / .. : û, 2003.450 .
2. . ., . ., . . -, (), 2, 1999, -.
3. . ., . ., . . - ( ). , 59,1999..85-91.
4. . ., . ., . ., . ., . ., .. . , , 1-2, 2001., .23-26.
5. . . ..: , 1965.212 . .
6. . ., . ., . ., . ., . . -4 . . .: , ., 1999.. 362-366.