Abstract

In the previous talks of similar nature, the speaker introduced the concept and dealings of statistical geometry to solve measurement problems on sizes of Euclidean objects including length of curves, area of surfaces and volume of spaces that cannot be solved easily with mathematics. The ease, liberty, and quickness to solve such problems were given in the consecutive talks for showing the virtue of statistical geometry.

The speaker would like to show equalities in probabilistic form that connect length of straight lines, magnitude of angles and area size inside any triangle and any polygon in this talk. Examples will be given to show the related statistical procedure to accomplish measurement of angle magnitude and area size only with sample of straight line lengths upon arbitrary triangle and polygon with a rule(直尺).