Importance

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Abstract

Multi-part processes and device with elongated flat members for line end-points, which together can divide a straight or curved line of unknown length into specified numbers of equal sub-parts. This invention significantly extends beyond the limited abilities of various devices and construction techniques, including geometric constructions used over millennia, to subdivide a line into equal sub-parts. The length of any straight-line in a plane can be subdivided into any specified positive natural number of equal sub-parts. The length of any 360° or less arc of a circle in a plane and its subtending central angle(s) can be subdivided into any specified positive integer number of equal sub-parts. Each of the four angles formed when two straight-lines intersect in a plane can be subdivided into any specified positive natural number of equal sub-parts. The specified number for subdivision may be any even or odd positive whole number, including a positive prime number. The multi-part processes and device can be used to produce definite specified fractional subdivisions of a line that are not equal sub-parts of the line. They may be applicable to subdividing arcs of constant curvature that are not circular. This invention can be used to avoid the abstractions in reality and illusions created when objects in the three-dimensional real world are represented two-dimensionally in a plane. The same applies to representations in three-dimensional constructions. This application is a continuation of patent application Ser. No. 16/580,542 in which the examiner found in an amended substitute specification that more than one invention had been disclosed.

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First Claim