This paper illustrates a method for interpolating curvilinear data by means of the hyperbola plus a linear term. The method is based on the least squares principle. It requires a minimum of four curvilinear data and it is easy to apply.

A new instrument of exploration can be used to develop unrecognized connections among points in a variety of geometric designs. Operational methods are used to derive the relationships, and a new approach to extremum location is demonstrated. The technique is suitable for interpolation problems which arise in experimental design and the treatment of data.

The determination of the pH of a plutonium solution has traditionally depended on an electrode or a titration in the presence of a complexing agent. A new approach uses on the equilibrium distribution of the Pu oxidation states to estimate hydrogen ion concentration. The method is used to estimate the equilibrium constant of the first hydrolysis reaction of tetravalent plutonium.

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