Formulas for the Geometric Mean Distances of Rectangular Areas and of Line Segments
- 1 April 1943
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 14 (4) , 188-195
- https://doi.org/10.1063/1.1714974
Abstract
Formulas are derived, by direct integration of the defining definite integrals, for the general geometric mean distance between (i) a point and a line segment; (ii) a point and a rectangular area; (iii) two parallel line segments; (iv) two orthogonal line segments; (v) a line segment and a parallel-sided rectangular area; (vi) two parallel-sided rectangular areas. Certain useful identities of the formula for the last-named case are presented.This publication has 3 references indexed in Scilit:
- Formulas for the Calculation of the Inductance of Linear Conductors of Structural ShapeTransactions of the American Institute of Electrical Engineers, 1943
- Formulas for the Inductance of Rectangular Tubular ConductorsTransactions of the American Institute of Electrical Engineers, 1941
- On the geometrical mean distances of rectangular areas and the calculation of self-inductanceBulletin of the Bureau of Standards, 1907