CN105059020B - The instrument and its application method of a kind of circumference in equal parts - Google Patents
The instrument and its application method of a kind of circumference in equal parts Download PDFInfo
- Publication number
- CN105059020B CN105059020B CN201510500712.4A CN201510500712A CN105059020B CN 105059020 B CN105059020 B CN 105059020B CN 201510500712 A CN201510500712 A CN 201510500712A CN 105059020 B CN105059020 B CN 105059020B
- Authority
- CN
- China
- Prior art keywords
- groove
- draw
- card device
- chis
- ruler
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Landscapes
- Length-Measuring Instruments Using Mechanical Means (AREA)
Abstract
The present invention provides the instrument and its application method of a kind of circumference in equal parts, using carrying out on the basis of existing common drawing tool deformation and improved new instrument, line segment is launched into by by known circumference, after line bisection, again by the Along ent of line segment, the Along ent for finding circumference is realized carrying out any n to known circumference（Natural number）Decile, the present invention is solved the difficult math question of any n deciles of known circumference, is realized theoretic error free；Also solve any n deciles of known arc and known angle naturally simultaneously, positive n sides shape is done in known circular, circumscribed positive n sides shape is done in known circular, the position of π is drawn on number axis, draw known circumferential length it is circular the problems such as, the present invention also changes the pattern of angular surveying, can draw theoretic 1/n degree, n can be random natural number, and this cannot be realized with protractor.
Description
Technical field
The invention belongs to drawing technique field, it is related to a kind of instrument that any n (natural number) decile is carried out to known circumference
And method, the instrument and its application method of specifically a kind of circumference in equal parts.
Background technology
At present, in fields such as scientific research, teaching, mapping, mechanical engineerings, often it is related to n for known circular etc.
Point, or to a known angle, the n deciles of arc, done in a known circular in shape etc. when meeting positive n in shape or circumscribed positive n
Deng.These problems are in existing drawing tool（Containing Software tool）, any single instrument or combination tool all can not be from
Realize arbitrary n deciles in theory, only part it is achieved that such as, when the minorities such as n=2n, 3,4,5 can be realized.
To the n of circumference（Natural number）Decile in theory can also be by known to one without a kind of theoretical or real operation
Circular n（Natural number）Decile；Equally, also can be by a known circular arc n without a kind of theoretical or real operation（Natural number）
Decile；Equally, also can be by a known angle n without a kind of theoretical or real operation（Natural number）Decile.
The content of the invention
It is an object of the invention to provide the instrument and its application method of a kind of circumference in equal parts, in existing common mapping work
Deformed on the basis of tool and improved, and any n is carried out to known circumference with its realization（Natural number）Decile, completes the drawing world
It is historical once to change.
The technical scheme that uses to achieve these goals of the present invention is：
A kind of instrument of circumference in equal parts, including plane cross chi, spreader and π chis；The plane cross chi is by A-B rulers
Constituted with C-D rulers, the center of A-B rulers and C-D rulers is by button ring clamping；The button ring buckles structure by hollow circuit cylinder and spiral shell
Into hollow circuit cylinder is inside and outside to be threaded, and spiral shell retaining ring is in the outside of hollow circuit cylinder；A-B rulers and C-D rulers can be around knobs
Clasp center mutually rotates, and A-B rulers and C-D rulers front carry metering scale, and centre is provided with groove, and interior setting of groove can be free
A mobile card device, described card device can be moved in groove 6, could be secured to optional position in groove；Card device is by a device and card
Device and button ring group into；Described device one end sets paintbrush, and the other end sets screw rod to be used to be connected with button ring, can be passed through
Screw the height that screw rod adjusts a device with the relative position of button ring；The card device is made up of draw-in groove and draw-in groove retainer ring, draw-in groove
Screw thread of the Fixing shrink ring on the outside of draw-in groove, draw-in groove retainer ring is matched with the external screw thread on the hollow circuit cylinder of button ring, draw-in groove
Can be rotated freely inside draw-in groove retainer ring；Device and card device can freely be mounted and dismounted on a card device；The spreader
Including ruler, tape measure and a card device；Tape measure is fixed in one end of ruler, there is groove in the middle of ruler front, and both sides set a card device in groove,
Tape measure is made up of spool and cord；The π chis are the measurement resilient ruler for surrounding circle of circular tool, or other
Any resilient material that can surround circle of tool, diameter can be adjusted arbitrarily, the surface of π chis（It is inside and outside）Scale can be marked
Line；Locking device is provided with π chis for fixing the girth of π chis.
A kind of application method of the instrument of circumference in equal parts, comprises the following steps：
Step 1, installs a device, as the center of circle, in the groove of wherein ruler on the button ring of plane cross chi center
A card device is installed, a device of plane cross chi button ring and the distance of a card device of wherein ruler end installation is adjusted, as
Radius, draws circle ⊙ P；
Step 2, the diameter of π chis is adjusted using plane cross chi, and a card device is respectively mounted in A, B, C, D of plane cross chi,
A device is installed below the button ring of plane cross chi center, π chis are stuck in four draw-in grooves of card device of plane cross chi, with flat
A tolerance below the button ring of face Cross ruler wherein ruler end lower section Bi Qiyu centers takes half equal with drawn circular ⊙ P
Footpath, is rotated by 360 ° centered on the device installed by plane cross chi center button ring lower section, and the intersection of π chis is locked
Device is fixed, and resulting π chis are real circle ⊙ p '；
Step 3, the cord front end of the tape measure of spreader is tight with a groove buckle for the card device for sticking π chis, drawing
While circular ⊙ P, the cord front end of the tape measure of spreader drives the cord of the tape measure of spreader to be transported around real circular ⊙ p '
It is dynamic to form annulus ⊙ p ", annulus ⊙ p are marked on the cord of tape measure " starting point position BB '；
Step 4, while " step 3 " is completed, a device for the card device being fixed on the cord of the tape measure of spreader exists
Drawn in the draw-in groove of ruler and annulus ⊙ p " girth of the length of girth equal line segment OB, the OB for obtaining i.e. equal to circle ⊙ P；
Step 5, by line segment OB common graphing method n deciles in theory, and marks each Along ent（n1、n2、……nn）
Position；
Step 6, by each Along ent of OB, determines each Along ent of cord BB ', then is marked by each Along ent of BB '
Real circle ⊙ each Along ents of p ', that is to say the position of each Along ent of circular ⊙ P on paper, realize it is theoretic arbitrarily
Circumference in equal parts；A card device using the cord front end of spreader tape measure exists respectively（n1、n2、……nn）Position when correspondence draw
Location point on circle ⊙ P；Realize any circumference in equal parts.
Effect of the invention is：Solve the sciences problems of any n deciles of known circumference, realize theoretic errorless
Difference；Also solve any n deciles of known arc and known angle naturally simultaneously, positive n sides shape is done in known circular, in known circle
Shape does circumscribed positive n sides shape, and the position of π is drawn on number axis, draw known circumferential length it is circular the problems such as, the present invention also change angle
The pattern of measurement is spent, theoretic 1/n degree can be drawn, n can be random natural number, and this cannot be realized with protractor.
Brief description of the drawings
Fig. 1 is the schematic diagram that the inventive method is realized with drawing tool of the present invention；
Fig. 2 is the side view of Fig. 1；
Fig. 3 is the structural representation of plane cross chi；
Fig. 4 is a structural representation for card device.
1 in figure, A-B rulers；2nd, C-D rulers；3rd, button ring；4th, hollow circuit cylinder；5th, spiral shell button；6th, groove；7th, a card device；8th, pen
Device；9th, card device；10th, paintbrush；11st, screw rod；12nd, draw-in groove；13rd, draw-in groove retainer ring；14th, spreader；15th, ruler；16th, tape measure；17、
Spool；18th, cord；19th, π chis；20th, locking device.
Specific embodiment
The present invention is further elaborated below in conjunction with the accompanying drawings：
The instrument of circumference in equal parts of the present invention includes：
1. plane cross chi, as shown in figures 1 and 3, is made up of A-B rulers 1 and C-D rulers 2, and A-B rulers 1 and C-D are straight
The center of chi 2 is by the clamping of button ring 3；Button ring, as shown in figure 3, be made up of hollow circuit cylinder 4 and spiral shell button 5, inside and outside hollow circuit cylinder
It is threaded, spiral shell retaining ring is in the outside of hollow circuit cylinder；A-B rulers 1 and C-D rulers 2 can mutually revolve around the center of button ring 3
Turn, A-B rulers 1 and the front of C-D rulers 2 carry metering scale, and centre is provided with groove 6, groove the pen that set and can move freely
Card device 7, a card device 7 can be moved in groove 6, it is also possible to be fixed on optional position in groove 6；Card device 7, by a device 8 and card device 9
And button ring 3 is constituted；As shown in figure 4, the one end of a device 8 sets paintbrush 10, the other end sets screw rod 11 to be used to connect with button ring 3
Connect, the height of a device 8 can be adjusted with the relative position of button ring 3 by screwing screw rod 11；Card device 9 is consolidated by draw-in groove 12 and draw-in groove
Determine ring 13 to constitute, draw-in groove retainer ring 13 is enclosed within the outside of draw-in groove 12, the hollow circle of the screw thread in draw-in groove retainer ring 13 and button ring 3
External screw thread matching on post 4, draw-in groove 12 can be rotated freely inside draw-in groove retainer ring 13；Device 8 and card device 9 can be in pen cards
Freely mounted and dismounted on device；
2. spreader 14, as depicted in figs. 1 and 2, including ruler 15, tape measure 16 and a card device 7；One end of ruler 15 is fixed
Tape measure 16, ruler 15 has groove in the middle of front, and both sides set a card device in groove, and tape measure 16 is made up of spool 17 and cord 18；
3. π chis 19, as shown in figure 1, be a kind of resilient ruler that can surround circle of the tool that can measure circle, or
Person is other any resilient materials that can surround circle of tool, and diameter can be adjusted arbitrarily, the surface of π chis（It is inside and outside）
To mark graduation mark；Locking device 20 is provided with π chis for fixing the girth of π chis.
The application method of the instrument of circumference in equal parts, comprises the following steps：
Step 1, draws a circle ⊙ P；
The circular ⊙ P of known radius are drawn using plane cross chi, pen is installed on the button ring of plane cross chi center
Device, as the center of circle, in the groove of wherein ruler install a card device, adjust plane cross chi button ring a device with wherein
The distance of the card device that one ruler end is installed, as radius, draws circle ⊙ P；
Step 2, does one and really justifies ⊙ p ' with drawn circular ⊙ P identicals；
The diameter of π chis is adjusted using plane cross chi, a card device is respectively mounted in A, B, C, D of plane cross chi, in plane
A device is installed in Cross ruler center button ring lower section, and π chis are stuck in four draw-in grooves of card device of plane cross chi, uses plane cross
A tolerance below the button ring of chi wherein ruler end lower section Bi Qiyu centers takes the radius equal with drawn circular ⊙ P, with
It is rotated by 360 ° centered on the device that plane cross chi center button ring lower section is installed, by the intersection locking device of π chis
Fixed, resulting π chis are real circle ⊙ p '
Step 3, an annulus ⊙ p is with tape measure around real circular ⊙ p ' ", and the demarcating circle ⊙ p on tape measure " rise
The position BB ' of initial point；
The cord front end of the tape measure of spreader is tight with a groove buckle for the card device for sticking π chis, drawing circular ⊙ P
While, the cord front end of the tape measure of spreader drives the cord of the tape measure of spreader to form circle around real circular ⊙ p ' motions
Ring ⊙ p ", mark annulus ⊙ p on the cord of tape measure " starting point position BB '；
Step 4, while " step 3 " is completed, a device for the card device being fixed on the cord of the tape measure of spreader exists
Drawn in the draw-in groove of ruler and annulus ⊙ p " girth of the length of girth equal line segment OB, the OB for obtaining i.e. equal to circle ⊙ P；
Step 5, by any deciles of line segment OB, marks each Along ent；
By line segment OB common graphing method n deciles in theory, and mark each Along ent（n1、n2、……nn）Position
Put；
Step 6, by each Along ent of OB, determines each Along ent of cord BB ', then is marked by each Along ent of BB '
Real circle ⊙ each Along ents of p ', that is to say the position of each Along ent of circular ⊙ P on paper, realize it is theoretic arbitrarily
Circumference in equal parts；A card device using the cord front end of spreader tape measure exists respectively（n1、n2、……nn）Position when correspondence draw
Location point on circle ⊙ P；So far, any circumference in equal parts is completed.
The present invention is solved the sciences problems of any n deciles of known circumference, is realized theoretic error free；Simultaneously
Naturally solve any n deciles of known arc and known angle, positive n sides shape is done in known circular, do circumscribed in known circular
Positive n sides shape, draws the position of π on number axis, draw known circumferential length it is circular the problems such as, the present invention also changes angular surveying
Pattern, can draw theoretic 1/n degree, and n can be random natural number, and this cannot be realized with protractor.
The invention provides a kind of theoretic drawing technique and realize process route, method and the path of this technology,
It is of the invention original that all any making for meeting this technology and reaching realize that the method for the technical purpose is；The present invention is related to
And a class（It is various）Multifunctional drawing technology and the instrument for realizing this technology, are a classes（It is various）Collection draw, measurement, drawing,
The multifunctional application science toolses such as calculating, principle application, scientific research, teaching, experiment.It changes drawing, graphics field work at present
The idea of tool, thinking and present situation, are the revolutions drawn, chart in world history；π chis of the invention, plane cross chi, stretch
Exhibition device part is ruler deformation with a scale, therefore, any scale to each chi it is accurate again（Or correction）All it is to this
The improvement of invention and can not replace or update；π chis part of the invention is the deformation of arbitrary commercially available prod, therefore, to π chis
Any transformation, improvement, renewal, increase, reduction etc. be all improvement of the present invention and can not replace or update；Due to this hair
Bright tape measure part is the material deformation of any curling, therefore, any transformation to tape measure part, improve, update, increasing, subtracting
Few grade is all improvement of the present invention and can not replace or update；Any component combination application of the invention should belong to this hair
Bright protection domain；The present invention includes the application in any media with the realization of core technology of the invention and principle（Such as：It is soft
Part, films and television programs, computer, video, animation etc.）Technology envision, and the application software etc. worked out according to its central principle.
Claims (2)
1. a kind of instrument of circumference in equal parts, it is characterised in that：Including plane cross chi, spreader and π chis；The plane cross chi
It is made up of A-B rulers and C-D rulers, the center of A-B rulers and C-D rulers is by button ring clamping；The button ring is by hollow circle
Post and spiral shell button are constituted, and hollow circuit cylinder is inside and outside to be threaded, and spiral shell retaining ring is in the outside of hollow circuit cylinder；A-B rulers and C-D rulers
Can mutually be rotated around button ring center, A-B rulers and C-D rulers front carry metering scale, and centre is provided with groove, in groove
The card device that setting can move freely, described card device can be fixed on optional position in groove；Described card device is by a device and card device
And button ring group into；Described device one end sets paintbrush, and a device other end sets screw rod to be used to be connected with button ring, by rotation
Twist the height that screw rod adjusts a device with the relative position of button ring；The card device is made up of draw-in groove and draw-in groove retainer ring, and draw-in groove is solid
Determine screw thread of the ring set on the outside of draw-in groove, draw-in groove retainer ring to be matched with the external screw thread on the hollow circuit cylinder of button ring, draw-in groove can
Rotated freely inside draw-in groove retainer ring；Device and card device can freely be mounted and dismounted on a card device；The spreader includes
Ruler, tape measure and a card device；Tape measure is fixed in one end of ruler, there is groove in the middle of ruler front, and both sides set a card device, tape measure in groove
It is made up of spool and cord；The π chis are the measurement resilient ruler for surrounding circle of circular tool, and diameter can be adjusted arbitrarily
Section, the surface of π chis indicates graduation mark, and locking device is provided with π chis for fixing the girth of π chis.
2. a kind of application method of the instrument of circumference in equal parts as claimed in claim 1, it is characterised in that：Comprise the following steps：
Step 1, installs a device on the button ring of plane cross chi center, as the center of circle, is installed in the groove of wherein ruler
Card device, adjusts the distance of the card device that a device of the button ring of plane cross chi is installed with a wherein ruler end, as half
Footpath, draws circle ⊙ P；
Step 2, the diameter of π chis is adjusted using plane cross chi, and a card device is respectively mounted at A, B, C, D end of plane cross chi,
A device is installed in plane cross chi center button ring lower section, and π chis are stuck in four draw-in grooves of card device of plane cross chi, uses plane
A tolerance below the button ring of Cross ruler wherein ruler end lower section Bi Qiyu centers takes half equal with drawn circular ⊙ P
Footpath, is rotated by 360 ° centered on the device installed by plane cross chi center button ring lower section, and the intersection of π chis is locked
Device is fixed, and resulting π chis are real circle ⊙ p '；
Step 3, the cord front end of the tape measure of spreader is tight with a groove buckle for the card device for sticking π chis, drawing circle
While ⊙ P, the cord front end of the tape measure of spreader drives the cord of the tape measure of spreader around real circular ⊙ p ' motions shape
Into annulus ⊙ p ", annulus ⊙ p are marked on the cord of tape measure " starting point position BB '；
Step 4, while " step 3 " is completed, a device of the card device being fixed on the cord of the tape measure of spreader is in ruler
Draw-in groove in draw and annulus ⊙ p " girth of the length of girth equal line segment OB, the OB for obtaining i.e. equal to circle ⊙ P；
Step 5, by line segment OB common graphing method n deciles in theory, and marks the position of each Along ent；
Step 6, by each Along ent of OB, determines each Along ent of cord BB ', then is marked truly by each Along ent of BB '
Circular each Along ents of ⊙ p ', that is to say the position of each Along ent of circular ⊙ P on paper.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510500712.4A CN105059020B (en) | 2015-08-17 | 2015-08-17 | The instrument and its application method of a kind of circumference in equal parts |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510500712.4A CN105059020B (en) | 2015-08-17 | 2015-08-17 | The instrument and its application method of a kind of circumference in equal parts |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105059020A CN105059020A (en) | 2015-11-18 |
| CN105059020B true CN105059020B (en) | 2017-06-16 |
Family
ID=54488630
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510500712.4A Expired - Fee Related CN105059020B (en) | 2015-08-17 | 2015-08-17 | The instrument and its application method of a kind of circumference in equal parts |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN105059020B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106994854A (en) * | 2017-03-10 | 2017-08-01 | 大连工业大学 | The compasses of meeting picture side |
Family Cites Families (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2031911U (en) * | 1988-06-08 | 1989-02-01 | 贺新华 | Linear length measuring apparatus for arbitrary curves |
| CN1109826A (en) * | 1993-11-04 | 1995-10-11 | 方中祥 | Method for arbitrarily dividing any angle and applied device |
| CN2491245Y (en) * | 2001-06-05 | 2002-05-15 | 李志深 | Device for uniform dividing any angle |
| CN1441377B (en) * | 2002-09-04 | 2010-05-26 | 付天才 | Fast circular-figure calculating and dividing instrument |
| CN2815631Y (en) * | 2004-12-11 | 2006-09-13 | 董礼 | Tool for arbitrarily dividing arbitrary angles |
-
2015
- 2015-08-17 CN CN201510500712.4A patent/CN105059020B/en not_active Expired - Fee Related
Also Published As
| Publication number | Publication date |
|---|---|
| CN105059020A (en) | 2015-11-18 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN206884542U (en) | A kind of mathematics Multifunctional teaching aid | |
| CN103258329B (en) | A kind of camera marking method based on ball one-dimensional | |
| CN105059020B (en) | The instrument and its application method of a kind of circumference in equal parts | |
| CN206551753U (en) | A kind of higher mathematics plotter | |
| CN105291659B (en) | A kind of application method of the instrument of circumference in equal parts | |
| CN204679019U (en) | A kind of protractor | |
| CN108973454A (en) | A kind of magnetic absorption type compasses and its application method | |
| CN209566704U (en) | A kind of drawing rule of student majored in science's study | |
| CN206983580U (en) | Multifunctional mathematics teaching chi | |
| CN203198514U (en) | Teaching ruler | |
| CN206475644U (en) | A kind of Portable type compasses | |
| CN206067316U (en) | A kind of intelligent distance-measuring multifunctional compass | |
| CN105513437B (en) | A kind of electronic compass system and its working method and building block | |
| CN206781371U (en) | One kind is used for the dismantled and assembled set square of mathematical education | |
| CN204020333U (en) | A kind of mathematics Ellipsograph of giving lessons | |
| CN205344247U (en) | Junior high school mathematics teaching aid | |
| CN206579352U (en) | A kind of teaching apparatus for mathematics | |
| CN204749649U (en) | Mathematical teaching aid | |
| CN205997588U (en) | A kind of multifunctional compass | |
| CN106881979A (en) | Ellipse-hyperbolic diagraph | |
| CN203920134U (en) | Novel portable Multifunctional drawing ruler | |
| CN204749650U (en) | Mathematical teaching aid | |
| CN203681092U (en) | Multifunctional advanced mathematics drawing board | |
| CN206430648U (en) | A kind of shearing-type protractor | |
| CN105329032B (en) | Sphere illustrative diagram, composition method of North Pole position thereof and used template |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20170616 Termination date: 20180817 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |