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CHAPTER VI.

Quantities of Materials.

I. Volumes from Cross Sections.

3. Volumes of Continuous Prismoids.

a. Volumes from Plotted Sections.

The method just described for finding the volume of any prismoid by means of the Polar Planimeter while applicable to the case of a single prismoid, or where the prismoids to be measured are not continuous, can be modified in such a way when the volume of several continuous prismoids is required as to effect an even greater relative saving in time and labor than in the case of the single measurement.

The first record of the use of the Polar Planimeter for the measurement of a number of continuous prismoids by one operation with which the writer is familiar, appeared in an article describing the method by Clemens Hershell, C. E., in the Journal of the Franklyn Institute for April, 1874, and is essentially the same as that about to be described although worked out entirely independently and without knowledge of Mr. Hershell's article.

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