CN102506671A - Method for rotatably measuring degrees of angle by high-precision compass - Google Patents

Method for rotatably measuring degrees of angle by high-precision compass Download PDF

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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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CN
China
Prior art keywords
circle
high precision
compasses
angle
continuously
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Pending
Application number
CN2011103684790A
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Chinese (zh)
Inventor
张伟
Original Assignee
张伟
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Filing date
Publication date
Application filed by 张伟 filed Critical 张伟
Priority to CN2011103684790A priority Critical patent/CN102506671A/en
Publication of CN102506671A publication Critical patent/CN102506671A/en
Pending legal-status Critical Current

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Abstract

The invention provides a method for rotatably measuring degrees of an angle by a high-precision 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 high-precision compass, continuously rotating the high-precision compass for k1 times on the circle O, continuously rotating the high-precision compass for k2 times on the circle O, continuously rotating the high-precision compass for k3 times on the circle O and continuously rotating the high-precision compass for k4 times on the circle O. According to the invention, the degrees of the angle are rotatably measured by the high-precision 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

The Angle Method at a kind of high precision compasses wheel measuring angle
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 angle-measurement 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
Above-mentioned 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 1Individual circle, last point C, remaining CB.
The high precision compasses rotate k continuously on circle O 2Inferior.
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 2Individual circle, last point D, remaining DB.
The high precision compasses rotate k continuously on circle O 3Inferior.
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 3Individual circle, last point E, remaining EB.  
The high precision compasses rotate k continuously on circle O 4Inferior.
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 4Individual circle, last point F, remaining FB.   
Repeat: the high precision compasses rotate rotation counting K continuously on circle O 5K 6Kn.
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 1AB+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 2k 1AB-DB。
Formula 3 is transformed to formula 4.
④ 360°*k 3*(k 2-1)=k 3*k 2*k 1*AB-k 3*DB=k 3*k 2*k 1*AB-360°+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 10B.
The high precision compasses rotate 7 times on circle O continuously.
Get the B of step (2) 10B radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured 7 circles, last point C 7, remaining C 7B.  
The high precision compasses rotate 8 times on circle O continuously.
Get the C of step (3) 7B radius, B round dot, high precision compasses rotate on circle O continuously, and compasses are measured 8 circles, last point D 8, remaining D 8B.   
∠AOB=360°* =360°*[8(7-1)+1] (8*7*10)
=0.0875*360°=31.500°。
WPS form result of calculation.
1 K 1 K 2 K 3 C2*B2-C2+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 1Inferior:
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 1Individual circle, last point C, remaining CB;
3) the high precision compasses rotate k continuously on circle O 2Inferior:
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 2Individual circle, last point D, remaining DB;
4) the high precision compasses rotate k continuously on circle O 3Inferior:
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 3Individual circle, last point E, remaining EB;
5) the high precision compasses rotate k continuously on circle O 4Inferior:
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 4Individual circle, last point F, remaining FB;
6) repeat: the high precision compasses rotate rotation counting K continuously on circle O 5K 6K 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= *.
CN2011103684790A 2011-11-20 2011-11-20 Method for rotatably measuring degrees of angle by high-precision compass Pending CN102506671A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN2011103684790A CN102506671A (en) 2011-11-20 2011-11-20 Method for rotatably measuring degrees of angle by high-precision compass

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN2011103684790A CN102506671A (en) 2011-11-20 2011-11-20 Method for rotatably measuring degrees of angle by high-precision compass

Publications (1)

Publication Number Publication Date
CN102506671A true CN102506671A (en) 2012-06-20

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Family Applications (1)

Application Number Title Priority Date Filing Date
CN2011103684790A Pending CN102506671A (en) 2011-11-20 2011-11-20 Method for rotatably measuring degrees of angle by high-precision compass

Country Status (1)

Country Link
CN (1) CN102506671A (en)

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2046814U (en) * 1989-04-20 1989-11-01 姜斌 Multifunction compasses
US20050234671A1 (en) * 2002-10-11 2005-10-20 Giuseppe Morfino System and process for measuring, compensating and testing numerically controlled machine tool heads and/or tables
CN2850950Y (en) * 2005-09-09 2006-12-27 中北大学 Measuring and plotting instrument
CN201732486U (en) * 2009-10-10 2011-02-02 于书霞 Multi-functional pointer

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2046814U (en) * 1989-04-20 1989-11-01 姜斌 Multifunction compasses
US20050234671A1 (en) * 2002-10-11 2005-10-20 Giuseppe Morfino System and process for measuring, compensating and testing numerically controlled machine tool heads and/or tables
CN2850950Y (en) * 2005-09-09 2006-12-27 中北大学 Measuring and plotting instrument
CN201732486U (en) * 2009-10-10 2011-02-02 于书霞 Multi-functional pointer

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
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 77-84 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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