Graded progressive polygon composition and resection demonstration instrument

Abstract

The invention discloses a graded progressive polygon composition and sectioning demonstration instrument, which comprises a support, a directional barrel frame, a phase controller, a split umbrella rod, a position adjusting shaft tube, a polygon base disc, a reversing mechanism and a triangular plate, the directional barrel frame is arranged in a sleeve of the support, the phase controller is arranged in the directional barrel frame, the split umbrella rod is arranged in the phase controller, the position adjusting shaft tube is arranged in the split umbrella rod, the polygon base disc is arranged at one end of the directional barrel frame, the reversing mechanism is arranged between the polygonal base disc and the position dividing umbrella rod, and the triangular plate is arranged on the reversing mechanism. The graded progressive polygon composition and Liu-Hui sectioning demonstration instrument is complete in function, and can quickly and continuously complete the whole process and the reverse process of expanding a circle circumscribed regular quadrangle into a regular octagon and then expanding the regular octagon into a hexadecagon to a 32-dodecagon. The instrument is high in applicability and can be used in any occasion. The method is suitable for teaching, light exhibition and mold manufacturing.

Description

Technical field: [0001] The invention relates to the field of teaching display devices, in particular to a hierarchical and progressive polygonal composition and circle cutting demonstration device. Background technique: [0002] "Circle cutting technique" is a method to obtain "pi", using the area of ​​a regular polygon inscribed in a circle to infinitely approximate the area of ​​a circle and thus obtain pi. In fact, the area of ​​a regular polygon circumscribed by a circle can also be used to infinitely approximate the area of ​​a circle , also known as the method of chamfering, is easier to operate and understand than the method of regular polygons inscribed in a circle, and can bring great help to students' learning. In order to solve the above problems, a small number of devices related to drawing have also appeared in the recent stage. For example, the document with the patent application number 201220379498.3 provides "a numerical sequence limit demonstrator". The e...

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Problems solved by technology

This demonstrator uses point movement to explain the limit problem, without giving an intuitive explanation from the overall shape change, and the quantification process is not obvious

The literature with the patent application number 201520878836.1 provides "a demonstration device of the limit principle". Several area plates are placed in the frame, the inner area of ​​the frame is S, and the area of ​​each area plate is 1 / 21S, 1 / 22S, 1 / 23S...1 / 2nS, the sum of the area of ​​each area plate is (1-1 / 2n)S, by laying each area plate in the frame, the sum of the area of ​​each area plate is (1- 1 / 2n) times, so with the increase of the number of area plates, the sum of the area of ​​each area plate is infinitely close to the inner area of ​​the frame, and only by means of the limit process of the synthetic description sum of the figure area, the two figures with completely different shapes are not quantitatively changed to achieve Qualitative leap, lack of pertinence

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