We study six pedal-like curves associated with the ellipse which are area-invariant for pedal points lying on one of two shapes: (i) a circle concentric ellipse, or (ii) boundary itself. Case is corollary properties Steiner’s Curvature Centroid (Krümmungs-Schwerpunkt), proved in 1825. For case we prove area invariance algebraically. Explicit expressions all invariant areas also provided. Finall...

frequency studies are, essentially, an application of the theories of probability and are based on available records of flood experiences. several methods of analysis, based on the mathematics of probabilities, have been proposed which, when applied to the same series of data, yield frequency curves which are in reasonable agreement throughout a useful range of probabilities. a widely used meth...

A knowledge of rainfall distribution over a finite area is needed for small bydraulic structures design. Hydrologists have always been concerned about Depth- Area- Duration (DAD) for a specific storm in a watershed. An intense storm occurred on June 6, 1992 which claimed some lives in parts of Mashhad, Khorasan Province, Iran. Data of rainfall depth at 29 raingauge stations around the city and ...

A knowledge of rainfall distribution over a finite area is needed for small bydraulic structures design. Hydrologists have always been concerned about Depth- Area- Duration (DAD) for a specific storm in a watershed. An intense storm occurred on June 6, 1992 which claimed some lives in parts of Mashhad, Khorasan Province, Iran. Data of rainfall depth at 29 raingauge stations around the city and ...

ACKNOWLEDGEMENTS I would like to thank my adviser Michael Zieve for teaching me to fish. I would like to thank Jeffrey Lagarias for helpful feedback in writing this thesis. I would like to thank my family (Peter, Susan, and Holly), my beautiful girlfriend Becky, and the community of Michigan graduate students for keeping me sane.