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474 APPENDIX
Displacement, Area and Volume Differential
= + +
0 0 0
= + + � (A.47)
0
0
0
= + + sin
0
0
0
Figure A13 a) Displacement differential in Cartesian coordinate, b) Displacement differential
in cylindrical coordinate, c) Displacement differential in spherical coordinate
= + +
0
0
0
= + + � (A.48)
0
0
0
2
= sin + sin +
0
0
0
Figure A14 a) Area differential in Cartesian coordinate, b) Area differential in cylindrical
coordinate, c) Area differential in spherical coordinate
= = = sin (A.49)
2
Figure A15 a) Volume differential in Cartesian coordinate, b) Volume differential in
cylindrical coordinate, c) Volume differential in spherical coordinate
