CN102063819B - Shaking Pi calculator - Google Patents
Shaking Pi calculator Download PDFInfo
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- CN102063819B CN102063819B CN 201010597177 CN201010597177A CN102063819B CN 102063819 B CN102063819 B CN 102063819B CN 201010597177 CN201010597177 CN 201010597177 CN 201010597177 A CN201010597177 A CN 201010597177A CN 102063819 B CN102063819 B CN 102063819B
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- 238000005070 sampling Methods 0.000 claims abstract description 21
- 238000013461 design Methods 0.000 claims abstract description 7
- 238000013459 approach Methods 0.000 claims abstract description 3
- 230000005622 photoelectricity Effects 0.000 claims description 12
- 238000004364 calculation method Methods 0.000 abstract description 3
- 238000000034 method Methods 0.000 abstract description 3
- 230000008569 process Effects 0.000 abstract description 3
- 230000005540 biological transmission Effects 0.000 abstract 2
- 238000005516 engineering process Methods 0.000 description 3
- 238000004519 manufacturing process Methods 0.000 description 2
- 230000003287 optical effect Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
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Abstract
The invention relates to a shaking Pi calculator. The shaking Pi calculator is characterized by comprising a cylinder, a regular hexahedron and a transmission belt, wherein the cylinder is connected with the regular hexahedron through the transmission belt; the radius of the cylinder is set as 3R; the circumradius of a regular hexagon of the regular hexahedron is set as R; the cylinder with the radius of 3R is used as a driving wheel; the regular hexahedron with the regular hexagon with the circumradius of R is used as a driven wheel; the shaking Pi calculator carries out automatic counting, calculation and display by using photoelectric sampling equipment; the photoelectric sampling equipment is fixed on the side surfaces of the cylinder and the regular hexahedron and comprises a sampler, a controller and a display; and the shaking Pi calculator adopts modular design and approaches to Pi by adopting the circumference of an extended round. The shaking Pi calculator intuitively and vividly displays the calculating process of the Pi and is convenient for structures to personally assemble by adopting the modular design, thereby bringing about convenience for teaching.
Description
Technical field
The present invention relates to a kind of instruments used for education, specifically relate to a kind of calculation element of pi, relate in particular to a kind of π of shaking counter.
Background technology
Circular constant is generally represented with π, be one at mathematics and the ubiquitous math constant of physics.It is defined as girth and the diameter ratio of circle.It also equals the area of circle and the ratio of radius squared.It is the key value of geometric configuratioies such as accurate Calculation circumference, the area of a circle, sphere volume.
Ancient times, famous mathematician's Zu Chongzhi was calculated 7 degree behind the radix point that are accurate to circular constant.According to " Sui Shulv goes through will " record, Zu Chongzhi has been determined the true value of circular constant between two approximate values, that is: 3.1415926＜π＜3.1415927.This is very advanced in the world at that time, up to CT-remix, quattrocento Arabian mathematics man A Erkaxi (?-1436) and 16th century French mathematician Vedas (1540-1603) just broken the record of Zu Chongzhi.
Pi=355/113 that Zu Chongzhi proposes is than Dutchman Peter Antonie (1527-1607) Zao millennium now, and on the Western Mathematics history, " Peter Antonie is rate now " but is accustomed to being called as in π=355/113.Circular constant be the molecule denominator all at the 1000 circular constant best approximations with interior fractional form, calculate with it, satisfy the requirement of certain precision, and very easy.
At the measurement of present circular constant, measure the several circular article that differ in size one by one with tape measure, calculate girth and diameter, utilizing girth and diameter to calculate their ratio, just obtain circular constant, however cumbersome in operating process.
Summary of the invention
A kind of π counter that shakes provided by the invention adopts the general electric components of existing market can make sampling, calculating, display unit, and technology is simple, with low cost; The π counter that shakes of the present invention also can pass through hand-turning, and people's number number obtains the number of turns, is conducive to improve the enthusiasm of students, and this shakes the π counter and adopt modular design, makes things convenient for student oneself to assemble, for teaching brings convenience.
For realizing purpose of the present invention, the present invention adopts following scheme to be implemented:
A kind of π counter that shakes, its improvements are that the described π of shaking counter comprises right cylinder 1, hexahedron 2 and driving belt 3; Described right cylinder 1 is connected by driving belt 3 with hexahedron 2; The radius of setting described right cylinder 1 is 3R; Orthohexagonal circumradius is R in the described hexahedron 2; With described radius be the right cylinder 1 of 3R as driving wheel, circumradius is that the orthohexagonal hexahedron 2 of R is as engaged wheel; The described π of shaking counter is counted automatically, is calculated and show with the photoelectricity sample devices; Described photoelectricity sampling equipment is fixed on the side of right cylinder 1 and hexahedron 2; Described photoelectricity sampling equipment comprises sampling thief, controller and display; The described π counter that shakes adopts modular design; The described π of shaking counter adopts the extension circumference to approach circular constant.
A kind of optimized technical scheme provided by the invention is: described photoelectricity sampling equipment is fixedly the time, in the side of right cylinder 1 and hexahedron 2 along radius of circle direction setting index line.
Second kind of optimized technical scheme provided by the invention is: described display is LED charactron display.
The third optimized technical scheme provided by the invention is: described controller is connected with display with sampling thief.
The 4th kind of optimized technical scheme provided by the invention is: the described π of the shaking counter of hand rotation, people's number number obtains the rotation number of turns of right cylinder 1 and hexahedron 2.
Compared with prior art, the beneficial effect that reaches of the present invention is:
A kind of π of shaking counter provided by the invention adopts the general electric components of existing market can make sampling, calculating, display unit, and technology is simple, with low cost; Except realizing that with the photoelectricity sample devices counting calculates automatically, the π counter that shakes of the present invention also can pass through hand-turning, and people's number number obtains the number of turns, is conducive to improve the enthusiasm of students; By hand-turning, show the computation process of circular constant, directly perceived lively and this shake the π counter and adopt modular design, make things convenient for student oneself to assemble, for teaching brings convenience.
Description of drawings
Fig. 1 shakes π counter model schematic side view.
Embodiment
Below in conjunction with accompanying drawing the specific embodiment of the present invention is described in further detail.
Fig. 1 shakes π counter model schematic side view, and this shakes the π counter and comprises right cylinder 1, hexahedron 2 and driving belt 3; Right cylinder 1 is connected by driving belt 3 with hexahedron 2.
The radius that the π of shaking counter provided by the invention is set right cylinder 1 is 3R, and the orthohexagonal circumradius in the hexahedron 2 is R.Then by geometrical principle as can be known:
The girth of hexahedron: C1=6R; Cylindrical girth C2=6 π R;
Cylindrical girth is π with the ratio of the girth of hexahedron.
By above-mentioned principle as can be known, manufacture the right cylinder that radius is 3R, manufacture a hexahedron again, the orthohexagonal external radius of a circle in the hexahedron is R.Be that the right cylinder of 3R and hexahedron that circumradius is R are placed at grade with radius, right cylinder and square are freely rotated, connect by driving belt between the two, be that the right cylinder of 3R is as driving wheel with radius, circumradius is that the hexahedron of R is as engaged wheel, rotate, then the distance that turns over of right cylinder equates with the distance that hexahedron turns over, suppose that this moment, right cylinder changeed the M circle, hexahedron has changeed the N circle, and M and N are positive integer, then C2*M=C1*N, so 6 π R*M=6RN as can be known are π=N/M.
Because M and N round numbers, so the more little π value of M and N error is more big, M and N are more big, and π value error is more little, and the more many π values of the number of turns of namely shaking are more accurate, the number of turns that add up respectively right cylinder and hexahedron turn over, and the number of turns is divided by to obtain π at last.
A kind of π counter that shakes provided by the invention, with the simple counting automatically of realizing of a cover photoelectricity sampling equipment, calculate and Presentation Function, one cover photoelectricity sampling equipment design proposal is: a cover photoelectricity sampling equipment comprises two optical sampling devices, engrave index line in the side of right cylinder and hexahedron along the radius of circle direction respectively, two optical sampling devices are separately fixed at the side of right cylinder and hexahedron, sampling thief is connected in the controller, controller can be finished the signal input, calculate also M, N value and π value are presented on the LED charactron display, M, the N value is positive integer, according to the value of π as can be known, display is for fixing 1 integer, decimal place is more many, the π that shows will be more accurate, and the most accurate π value that this device can calculate is subjected to the influence of display, and the more many demonstrations of display figure place are more accurate; Whenever groove turns over sampling thief once, controller receives the value of upgrading M, N value and π behind the signal immediately.Right cylinder side radius of a circle is 3R, and the orthohexagonal circumradius of hexahedron side is R, all is along the radius of circle direction when carving index line.
Thereby the π of shaking counter provided by the invention drives cylindrical rotation by rotating hexahedron, utilize the equidistant principle that they pass by, continual rotation, the ratio that rotates the number of turns by hexahedron and right cylinder obtains the value of pi more and more accurately.
Should be noted that at last: only illustrate that in conjunction with above-described embodiment technical scheme of the present invention is not intended to limit.Those of ordinary skill in the field are to be understood that: those skilled in the art can make amendment or are equal to replacement the specific embodiment of the present invention, but these modifications or change are all among the claim protection domain that application is awaited the reply.
Claims (5)
1. one kind is shaken the π counter, it is characterized in that, the described π of shaking counter comprises right cylinder (1), hexahedron (2) and driving belt (3); Described right cylinder (1) is connected by driving belt (3) with hexahedron (2); The radius of setting described right cylinder (1) is 3R; Orthohexagonal circumradius is R in the described hexahedron (2); With described radius be the right cylinder (1) of 3R as driving wheel, circumradius is that the orthohexagonal hexahedron (2) of R is as engaged wheel; The described π of shaking counter is counted automatically, is calculated and show with the photoelectricity sample devices; Described photoelectricity sampling equipment is fixed on the side of right cylinder (1) and hexahedron (2); Described photoelectricity sampling equipment comprises sampling thief, controller and display; The described π counter that shakes adopts modular design; The described π of shaking counter adopts the extension circumference to approach circular constant.
2. a kind of π counter that shakes as claimed in claim 1 is characterized in that, described photoelectricity sampling equipment is fixedly the time, in the side of right cylinder (1) and hexahedron (2) along radius of circle direction setting index line.
3. a kind of π counter that shakes as claimed in claim 1 is characterized in that, described display is LED charactron display.
4. a kind of π counter that shakes as claimed in claim 1 is characterized in that described controller is connected with display with sampling thief.
5. as each described a kind of π counter that shakes of claim 1-4, it is characterized in that, the described π counter that shakes of hand rotation, people's number number obtains the rotation number of turns of described right cylinder (1) and hexahedron (2).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010597177 CN102063819B (en) | 2010-12-20 | 2010-12-20 | Shaking Pi calculator |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010597177 CN102063819B (en) | 2010-12-20 | 2010-12-20 | Shaking Pi calculator |
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| Publication Number | Publication Date |
|---|---|
| CN102063819A CN102063819A (en) | 2011-05-18 |
| CN102063819B true CN102063819B (en) | 2013-08-28 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201010597177 Active CN102063819B (en) | 2010-12-20 | 2010-12-20 | Shaking Pi calculator |
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU862176A1 (en) * | 1979-12-11 | 1981-09-07 | Могилевский технологический институт | Mathematics teaching aid |
| CN2059009U (en) * | 1989-12-18 | 1990-07-04 | 杨伯选 | Teaching-aid for ratio of the circumference |
| US6702582B1 (en) * | 2001-11-08 | 2004-03-09 | Lynnea C. Salvo | Device and method for solving circles |
| CN201051326Y (en) * | 2007-06-20 | 2008-04-23 | 万鹏飞 | Circle rate computing demonstrator |
| CN201063211Y (en) * | 2007-08-02 | 2008-05-21 | 刘莹 | Device for demonstrating circular constant |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| RU2154805C2 (en) * | 1997-10-30 | 2000-08-20 | Засолкин Владимир Анатольевич | Technique for graphic determination of parameters of circumference and devices for its realization |
-
2010
- 2010-12-20 CN CN 201010597177 patent/CN102063819B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU862176A1 (en) * | 1979-12-11 | 1981-09-07 | Могилевский технологический институт | Mathematics teaching aid |
| CN2059009U (en) * | 1989-12-18 | 1990-07-04 | 杨伯选 | Teaching-aid for ratio of the circumference |
| US6702582B1 (en) * | 2001-11-08 | 2004-03-09 | Lynnea C. Salvo | Device and method for solving circles |
| CN201051326Y (en) * | 2007-06-20 | 2008-04-23 | 万鹏飞 | Circle rate computing demonstrator |
| CN201063211Y (en) * | 2007-08-02 | 2008-05-21 | 刘莹 | Device for demonstrating circular constant |
Non-Patent Citations (2)
| Title |
|---|
| 圆周率计算的四个时期;张晓贵;《辽宁教育学院学报》;20000930;第17卷(第5期);第66-69页 * |
| 张晓贵.圆周率计算的四个时期.《辽宁教育学院学报》.2000,第17卷(第5期),第66-69页. |
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| Publication number | Publication date |
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| CN102063819A (en) | 2011-05-18 |
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