CHAPTER VI.
Quantities of Materials.
I. Volumes from Cross Sections.
3. Volumes of Continuous Prismoids.
b. Volumes from Field Notes direct.
Advantages of the Method.
The method about to be described has not only
all the advantages possessed by the first method
but the further advantage of a very large saving in time and labor due
to the fact that the method does not require that
any of the cross-sections shall be plotted: it is also evident, that owing
to this fact the possibility of error due to the multiplying of lines in
the superimposed plotted cross-sections is entirely eliminated and that
any number of prismoids can be measured by one operation with exactly the
same degree of accuracy as can a single prismoid. The value of these advantages
is self-evident and makes this method by far the most accurate and rapid
of execution of any yet devised, while being at the same time so simple
and so easily executed as to require but little experience to employ it
with the greatest confidence and facility.
The method is exactly the same as the
first both mathematically and in execution except that unlike the first
method the cross-sections are not plotted. All factors for both methods
are the same so that the table headed “VOLUMES OF CONTINUOUS PRISMOIDS”
being Table 8 is used for both.