CN102506671A  Method for rotatably measuring degrees of angle by highprecision compass  Google Patents
Method for rotatably measuring degrees of angle by highprecision compass Download PDFInfo
 Publication number
 CN102506671A CN102506671A CN2011103684790A CN201110368479A CN102506671A CN 102506671 A CN102506671 A CN 102506671A CN 2011103684790 A CN2011103684790 A CN 2011103684790A CN 201110368479 A CN201110368479 A CN 201110368479A CN 102506671 A CN102506671 A CN 102506671A
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 Prior art keywords
 circle
 high precision
 compasses
 angle
 continuously
 Prior art date
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 238000005259 measurement Methods 0.000 description 3
 238000004364 calculation method Methods 0.000 description 2
 238000000034 method Methods 0.000 description 2
 238000004590 computer program Methods 0.000 description 1
Abstract
The invention provides a method for rotatably measuring degrees of an angle by a highprecision compass, in particular, the method comprises the steps of: taking an angle photograph by using a camera, printing the angle photograph on A4 paper, drawing an arbitrary circle by the highprecision compass, continuously rotating the highprecision compass for k1 times on the circle O, continuously rotating the highprecision compass for k2 times on the circle O, continuously rotating the highprecision compass for k3 times on the circle O and continuously rotating the highprecision compass for k4 times on the circle O. According to the invention, the degrees of the angle are rotatably measured by the highprecision compass, formula and numerical values with ten thousandth precision are determined, and the precise value of the angle is obtained so that the problem of unsuitability for quickly and accurately measuring angle degrees currently is solved.
Description
Technical field
The present invention relates to a kind of Angle Method of compasses measured angular, belong to the Surveying Engineering field.
Background technology
The general quantity hornwork can only accurately be surveyed and read " degree " this position, the universal protractor measuring accuracy: 2 ', precision was still less than percent once.
Therefore; Improving anglemeasurement accuracy is that one of ordinary skill in the art have problem to be solved for a long time; And the eager hope method that can have angle accurately to measure fast: the method for high precision compasses wheel measuring angle, the technology of compasses wheel measuring angle that obtains the accurate number of degrees at angle is not fast but appeared in the newspapers at present as yet.
Summary of the invention
Abovementioned deficiency to prior art exists the object of the present invention is to provide a kind of high precision compasses wheel measuring Angle Method, to take measurement of an angle accurately fast.
The objective of the invention is to realize like this: a kind of method of high precision compasses wheel measuring angle comprises the steps:
Get the angle photograph with camera, it is printed on the A4 paper.
An angle ∠ AOB, O round dot, high precision compasses are made circle arbitrarily.
Get the round O of step (1), AB radius, B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{1}Individual circle, last point C, remaining CB.
The high precision compasses rotate k continuously on circle O
_{2}Inferior.
Get the CB radius of step (2), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{2}Individual circle, last point D, remaining DB.
The high precision compasses rotate k continuously on circle O
_{3}Inferior.
Get the DB radius of step (3), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{3}Individual circle, last point E, remaining EB.
The high precision compasses rotate k continuously on circle O
_{4}Inferior.
Get the EB radius of step (4), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{4}Individual circle, last point F, remaining FB.
Repeat: the high precision compasses rotate rotation counting K continuously on circle O
_{5}K
_{6}Kn.
Mathematical formulae and computer program.
Two computing formula of per mille precision and ten thousand/precision.
WPS form calculation procedure.
The product of number of revolutions and radian all satisfies following identical formula.
① 360°=k
_{1}*AB+CB=k
_{2}*CB+DB=k
_{3}*DB+EB?=k
_{4}*EB+FB。
Formula 1 is transformed to formula 2.
② 360°*k
_{2}=k
_{2}*(k
_{1}AB+CB)=k
_{2}*k
_{1}*AB+k
_{2}*CB=k
_{2}*k
_{1}*AB+360°DB。
Formula 2 is transformed to formula 3.
③ 360°*(k
_{2}1)=k
_{2}k
_{1}ABDB。
Formula 3 is transformed to formula 4.
④ 360°*k
_{3}*(k
_{2}1)=k
_{3}*k
_{2}*k
_{1}*ABk
_{3}*DB=k
_{3}*k
_{2}*k
_{1}*AB360°+EB。
Formula 4 is transformed to formula 5.
⑤ 360°*[k
_{3}*(k
_{2}1)+1]=k
_{3}*k
_{2}*k
_{1}*AB+EB。
Per mille accuracy computation formula.
⑥ ∠AOB=AB=
*360°。
Ten thousand/accuracy computation formula.
⑦ ∠AOB=AB=
*360°。
Description of drawings
Fig. 1 is a high precision compasses per mille degree of accuracy measured angular.
Embodiment
Take measurement of an angle with the rotary process of high precision compasses.
Get the angle photograph with camera, it is printed on the A4 paper, A4 paper is placed on the plane.
On the A4 paper plane, make unknown angle ∠ AOB with the high precision compasses, O round dot, high precision compasses are made circle arbitrarily.
Get the round O of step (1), AB radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured 10 circles, last point B
_{10}, remaining B
_{10}B.
The high precision compasses rotate 7 times on circle O continuously.
Get the B of step (2)
_{10}B radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured 7 circles, last point C
_{7}, remaining C
_{7}B.
The high precision compasses rotate 8 times on circle O continuously.
Get the C of step (3)
_{7}B radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured 8 circles, last point D
_{8}, remaining D
_{8}B.
∠AOB=360°*
=360°*[8(71)+1]
(8*7*10)
=0.0875*360°=31.500°。
WPS form result of calculation.
1  K _{1}  K _{2}  K _{3}  C2*B2C2+1  C2*B2*A2  D2/E2  F2*360 
2  10  7  8  49  560  0.0875  31.5 
Claims (1)
1. the Angle Method of a compasses measured angular comprises the steps:
Get the angle photograph with camera, it is printed on the A4 paper;
1) angle ∠ AOB, O round dot, high precision compasses are made circle arbitrarily;
2) the high precision compasses rotate k continuously on circle O
_{1}Inferior:
Get the round O of step (1), AB radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured k
_{1}Individual circle, last point C, remaining CB;
3) the high precision compasses rotate k continuously on circle O
_{2}Inferior:
Get the CB radius of step (2), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{2}Individual circle, last point D, remaining DB;
4) the high precision compasses rotate k continuously on circle O
_{3}Inferior:
Get the DB radius of step (3), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{3}Individual circle, last point E, remaining EB;
5) the high precision compasses rotate k continuously on circle O
_{4}Inferior:
Get the EB radius of step (4), B round dot, high precision compasses rotate on circle O continuously, and the high precision compasses are measured k
_{4}Individual circle, last point F, remaining FB;
6) repeat: the high precision compasses rotate rotation counting K continuously on circle O
_{5}K
_{6}K
_{n};
Two computing formula of per mille precision and ten thousand/precision:
7) 0.001 per mille precision:
8）∠AOB=?AB=
*360°;
9) 0.0001 ten thousand/precision: 360 ° of ∠ AOB=
*.
Priority Applications (1)
Application Number  Priority Date  Filing Date  Title 

CN2011103684790A CN102506671A (en)  20111120  20111120  Method for rotatably measuring degrees of angle by highprecision compass 
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Application Number  Priority Date  Filing Date  Title 

CN2011103684790A CN102506671A (en)  20111120  20111120  Method for rotatably measuring degrees of angle by highprecision compass 
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ID=46218779
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Citations (4)
Publication number  Priority date  Publication date  Assignee  Title 

CN2046814U (en) *  19890420  19891101  姜斌  Multifunction compasses 
US20050234671A1 (en) *  20021011  20051020  Giuseppe Morfino  System and process for measuring, compensating and testing numerically controlled machine tool heads and/or tables 
CN2850950Y (en) *  20050909  20061227  中北大学  Measuring and plotting instrument 
CN201732486U (en) *  20091010  20110202  于书霞  Multifunctional pointer 

2011
 20111120 CN CN2011103684790A patent/CN102506671A/en active Pending
Patent Citations (4)
Publication number  Priority date  Publication date  Assignee  Title 

CN2046814U (en) *  19890420  19891101  姜斌  Multifunction compasses 
US20050234671A1 (en) *  20021011  20051020  Giuseppe Morfino  System and process for measuring, compensating and testing numerically controlled machine tool heads and/or tables 
CN2850950Y (en) *  20050909  20061227  中北大学  Measuring and plotting instrument 
CN201732486U (en) *  20091010  20110202  于书霞  Multifunctional pointer 
NonPatent Citations (3)
Title 

《北京航空航天大学学报》 19911231 张力 一种新的圆弧插补算法角度逼近法 7784 1 , 第1期 * 
张力: "一种新的圆弧插补算法——角度逼近法", 《北京航空航天大学学报》 * 
陈书法等: "基于角度逼近法的圆弧插补算法", 《现代制造工程》 * 
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