CN112060813A - Angle divider capable of dividing any angle in multiple equal ways - Google Patents
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Abstract
本发明涉及一种可多等分任意角的分角器,包括若干个可相互组合的子装置,子装置包括:端部铰接的第一摆杆、第二摆杆和中间摆杆;第一摆杆上设置有可滑动的第一滑块;第二摆杆上设置有可滑动的第二滑块;中间摆杆上设置有可镜像转动的第一连杆和第二连杆;第一连杆与第一滑块铰接,第二连杆与第二滑块铰接;相邻子装置的第一摆杆和第二摆杆之间卡扣连接,相邻子装置的第一滑块和第二滑块之间卡扣连接。并且还公开了一种一种等分角的绘图方法和一种等分角的测量方法。其能够现对任意角进行若干等分且能够显示等分后每个分角的角度值。
The invention relates to an angle divider that can divide any angle into multiple equal parts, comprising several sub-devices that can be combined with each other. The sub-devices include: a first swing rod, a second swing rod and an intermediate swing rod whose ends are hinged; The swing rod is provided with a slidable first slider; the second swing rod is provided with a slidable second slider; the middle swing rod is provided with a first link and a second link that can be rotated in a mirror image; the first The connecting rod is hinged with the first sliding block, and the second connecting rod is hinged with the second sliding block; the first swing rod and the second swing rod of adjacent sub-devices are snap-connected, and the first sliding block of adjacent sub-devices are connected with The second sliders are snap-connected. And also discloses a drawing method of the bisected angle and a measurement method of the bisected angle. It can now divide any angle into several equal parts and can display the angle value of each divided angle after equal division.
Description
技术领域technical field
本发明涉及制图工具技术领域,具体为一种可多等分任意角的分角器。The invention relates to the technical field of drawing tools, in particular to an angle divider that can divide any angle into multiple equal parts.
背景技术Background technique
任意等分角是几何学中的难题。目前,在几何制图中多采用圆规和直尺,对角进行等分,但用这两种工具不能将角进行任意等分,具有一定的局限性。并且在几何学中,已经证明用直尺和圆规是不能将角任意等分的。Arbitrary bisecting angles are difficult problems in geometry. At present, compasses and rulers are mostly used in geometric drawing to divide the angle equally, but these two tools cannot divide the angle arbitrarily, which has certain limitations. And in geometry, it has been proved that an angle cannot be arbitrarily divided by a ruler and a compass.
中国专利CN103600607B公开了一种“任意角三等分仪”,其可以三等分平面内任意角。但其存在如下问题:仅能够对任意角进行三等分,且无法测量分角的角度。Chinese patent CN103600607B discloses an "arbitrary angle trisection instrument", which can trisect any angle in a plane. However, it has the following problems: it can only divide any angle into three equal parts, and cannot measure the angle of the divided angle.
发明内容SUMMARY OF THE INVENTION
为了解决背景技术中存在的技术问题,本发明提供一种可多等分任意角的分角器,其能够现对任意角进行若干等分且能够显示等分后每个分角的角度值。In order to solve the technical problems existing in the background art, the present invention provides an angle divider that can divide any angle into multiple equal parts, which can now divide any angle into several equal parts and can display the angle value of each divided angle after equal division.
本发明解决其技术问题所采用的技术方案是:The technical scheme adopted by the present invention to solve its technical problems is:
一种可多等分任意角的分角器,包括若干个可相互组合的子装置,An angle divider that can divide any angle into multiple equal parts, comprising several sub-devices that can be combined with each other,
子装置包括:Sub-devices include:
端部铰接的第一摆杆、第二摆杆和中间摆杆;A first swing rod, a second swing rod and an intermediate swing rod with hinged ends;
第一摆杆上设置有可滑动的第一滑块;A slidable first sliding block is arranged on the first pendulum rod;
第二摆杆上设置有可滑动的第二滑块;A slidable second slider is arranged on the second swing rod;
中间摆杆上设置有可镜像转动的第一连杆和第二连杆;A first connecting rod and a second connecting rod that can be rotated in a mirror image are arranged on the middle swing rod;
第一连杆与第一滑块铰接,第二连杆与第二滑块铰接;The first connecting rod is hinged with the first sliding block, and the second connecting rod is hinged with the second sliding block;
相邻子装置的第一摆杆和第二摆杆之间卡扣连接,相邻子装置的第一滑块和第二滑块之间卡扣连接。The first swing rod and the second swing rod of adjacent sub-devices are snap-connected, and the first sliding block and the second sliding block of adjacent sub-devices are snap-connected.
进一步的,第一连杆和第二连杆的端部设置有相互啮合的齿轮。Further, the ends of the first link and the second link are provided with gears that mesh with each other.
进一步的,中间摆杆上设置有可滑动的中间滑块,中间滑块上设置有双面齿条,第一连杆和第二连杆的端部设置有与双面齿条啮合传动的齿轮。Further, a slidable intermediate slider is arranged on the middle swing rod, a double-sided rack is arranged on the middle slider, and the ends of the first link and the second link are arranged with gears that engage and drive with the double-sided rack. .
进一步的,中间摆杆上设置有刻度标尺,刻度标尺为非均匀刻度。Further, a scale scale is arranged on the middle pendulum rod, and the scale scale is a non-uniform scale.
进一步的,第一摆杆上开设有平行于其长度方向的第一滑槽,第一滑块上开设有插设于第一滑槽中的导向销柱;Further, the first pendulum rod is provided with a first chute parallel to its length direction, and the first slider is provided with a guide pin inserted in the first chute;
第二摆杆上开设有平行于其长度方向的第二滑槽,第二滑块上开设有插设于第二滑槽中的导向销柱;The second swing rod is provided with a second chute parallel to its length direction, and the second slider is provided with a guide pin inserted in the second chute;
中间摆杆上开设有平行于其长度方向的中间滑槽,中间滑块上开设有插设于中间滑槽中的导向销柱。The middle swing rod is provided with a middle chute parallel to its length direction, and the middle slider is provided with a guide pin inserted in the middle chute.
进一步的,第一摆杆的两端和第一滑块上开设有定位凹槽,第二摆杆的两端和第二滑块上开设有与定位凹槽相匹配的定位凸台,定位凹槽与定位凸台能相互扣合。Further, the two ends of the first swing rod and the first slider are provided with positioning grooves, the two ends of the second swing rod and the second slider are provided with positioning bosses that match the positioning grooves, and the positioning grooves are formed. The groove and the positioning boss can be buckled with each other.
进一步的,定位凸台的外端面装设有磁铁,定位凹槽的底面装设有磁铁,凸台和凹槽的磁铁能相互磁吸。Further, the outer end surface of the positioning boss is provided with a magnet, the bottom surface of the positioning groove is provided with a magnet, and the magnets of the boss and the groove can be magnetically attracted to each other.
一种等分角的绘图方法,包括如下步骤:A method for drawing an equally divided angle, comprising the following steps:
a.取n个子装置组合;a. Take n sub-device combinations;
b.调整子装置的第一摆杆和第二摆杆之间的夹角,使组合后装置最外侧的第一摆杆和第二摆杆与待均分角的边对齐;b. Adjust the angle between the first swing rod and the second swing rod of the sub-device, so that the first swing rod and the second swing rod at the outermost side of the combined device are aligned with the edge of the angle to be equally divided;
c.每个子装置的第一摆杆和第二摆杆之间的夹角即为待均分角的1/n。c. The angle between the first swing rod and the second swing rod of each sub-device is 1/n of the angle to be equally divided.
一种等分角的测量方法,包括如下步骤:A method for measuring an equal angle, comprising the following steps:
a.取n个子装置组合;a. Take n sub-device combinations;
b.调整子装置的第一摆杆和第二摆杆之间的夹角,使组合后装置最外侧的第一摆杆和第二摆杆与待均分角的边对齐;b. Adjust the angle between the first swing rod and the second swing rod of the sub-device, so that the first swing rod and the second swing rod at the outermost side of the combined device are aligned with the edge of the angle to be equally divided;
c.每个子装置的第一摆杆和第二摆杆之间的夹角即为待均分角的1/n,中间滑块所对应位置处的刻度标尺即为待均分角的1/n的角度值。c. The angle between the first swing rod and the second swing rod of each sub-device is 1/n of the angle to be equally divided, and the scale at the position corresponding to the middle slider is 1/n of the angle to be equally divided The angle value of n.
本发明的有益效果:Beneficial effects of the present invention:
(1)通过若干个子装置组合,实现对任意角进行若干等分,且能够等分的角度范围更大。(1) By combining several sub-devices, it is possible to divide any angle into several equal parts, and the range of angles that can be divided into equal parts is larger.
(2)子装置之间通过定位凹槽和定位凸台进行卡扣连接,组合更加便捷。(2) The sub-devices are snap-connected through the positioning grooves and the positioning bosses, and the combination is more convenient.
(3)通过中间滑块所对应位置处的刻度标尺能够显示等分后每个分角的角度值。(3) The angle value of each divided angle after equal division can be displayed through the scale ruler at the corresponding position of the middle slider.
附图说明Description of drawings
下面结合附图和实施例对本发明进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
图1是本发明的结构示意图;Fig. 1 is the structural representation of the present invention;
图2是本发明的另一方向的结构示意图;Fig. 2 is the structural representation of another direction of the present invention;
图3是本发明的第一摆杆的结构示意图;Fig. 3 is the structural representation of the first pendulum rod of the present invention;
图4是本发明的第二摆杆的结构示意图;Fig. 4 is the structural representation of the second pendulum rod of the present invention;
图5是本发明的中间摆杆的结构示意图;Fig. 5 is the structural representation of the middle pendulum rod of the present invention;
图6是本发明的中间滑块的结构示意图;6 is a schematic structural diagram of an intermediate slider of the present invention;
图7是本发明的第一滑块的结构示意图;7 is a schematic structural diagram of the first slider of the present invention;
图8是本发明的第二滑块的结构示意图;8 is a schematic structural diagram of a second slider of the present invention;
图9是本发明的一种组合状态图;Fig. 9 is a kind of combined state diagram of the present invention;
图10是本发明的另一种组合状态图;Fig. 10 is another combined state diagram of the present invention;
图11是本发明的等分角原理图;Fig. 11 is the principle diagram of the bisection angle of the present invention;
图12是本发明的另一种实施例的结构示意图。FIG. 12 is a schematic structural diagram of another embodiment of the present invention.
图中:In the picture:
1.第一摆杆,2.第一连杆,3.第一滑块,4.中间摆杆,5.中间滑块,6.第二摆杆,7.第二连杆,8.第二滑块,9.定位凹槽,10.定位凸台,11.导向销柱1. The first swing rod, 2. The first link, 3. The first slider, 4. The middle swing rod, 5. The middle slider, 6. The second swing rod, 7. The second link, 8. The first Two sliders, 9. Positioning groove, 10. Positioning boss, 11. Guide pin
101.第一滑槽101. The first chute
301.第一转轴301. The first reel
401.中间转轴,402.中间滑槽,403.刻度标尺401. Intermediate shaft, 402. Intermediate chute, 403. Scale ruler
501.双面齿条501. Double-sided rack
601.第二滑槽601. The second chute
801.第二转轴801. The second reel
具体实施方式Detailed ways
以下结合附图对本发明作进一步详细的说明。The present invention will be described in further detail below in conjunction with the accompanying drawings.
一种可多等分任意角的分角器,由若干个子装置组合而成。若要将一个角进行N等分时,需取N个子装置进行组合。子装置包括:端部铰接的第一摆杆1、第二摆杆6和中间摆杆4,第一摆杆1、第二摆杆6和中间摆杆4可采用工程塑料材质。并且,第一摆杆1、第二摆杆6和中间摆杆4的外端开设有凸尖,第一摆杆1的凸尖与第一摆杆1的外侧沿共线,第二摆杆6的凸尖与第一摆杆1的外侧沿共线,中间摆杆4的凸尖与中间摆杆4的中心线共线。使用时,通过每个凸尖进行定位和绘制,能够使绘制和测量的结果更加准确。An angle divider that can divide any angle into multiple equal parts is composed of several sub-devices. When a corner is to be divided into N equal parts, N sub-devices need to be combined. The sub-device includes: a
第一摆杆1上装设有第一滑块3,第一摆杆1上开设有平行于其长度方向的第一滑槽101,第一滑块3上开设有两个插设于第一滑槽101中的导向销柱11,第一滑块3可沿第一摆杆1的长度方向滑移。第一滑块3上装设有第一转轴301。A first sliding
第二摆杆6上装设有第二滑块8,第二摆杆6上开设有平行于其长度方向的第二滑槽601,第二滑块8上开设有两个插设于第二滑槽601中的导向销柱11,第二滑块8可沿第二摆杆6的长度方向滑移。第二滑块8上装设有第二转轴801A second sliding
中间摆杆4上设置有中间转轴401,第一连杆2和第二连杆7的一端套设于中间转轴401上,第一连杆2和第二连杆7能相对于中间转轴401转动,且第一连杆2和第二连杆7之间为同步镜像转动。The
第一连杆2的末端与第一滑块3的第一转轴301铰接,第二连杆7的末端与第二滑块8的第二转轴801铰接。The end of the
为实现第一连杆2和第二连杆7的同步镜像转动,可通过多种方式实现,以下列举其中的两种实施例具体说明。In order to realize the synchronous mirror rotation of the first connecting
实施例1Example 1
如图1-8所示,中间摆杆4上设置有中间滑块5,中间摆杆4上开设有平行于其长度方向的中间滑槽402,中间滑块5上开设有插设于中间滑槽402中的导向销柱11。中间滑块5上设置有双面齿条501,第一连杆2和第二连杆7的端部设置有与双面齿条501啮合传动的齿轮。中间摆杆4上设置有标识角度的刻度标尺403。由于中间滑块5的位置对应有唯一的第一摆杆1和第二摆杆6的夹角角度,因此中间滑块5所出位置处的刻度标尺403的数值即对应唯一的第一摆杆1和第二摆杆6的夹角角度,因此将刻度标尺403上标注相应的角度值,就能通过中间滑块5所出位置处的刻度标尺403的读数测量出第一摆杆1和第二摆杆6的夹角角度。为了便于读数,刻度标尺403为每5°为一个格单位的非均匀刻度。As shown in Figures 1-8, an intermediate sliding
实施例2Example 2
如图12所示,第一连杆2和第二连杆7的端部设置有相互啮合的齿轮,第一连杆2和第二连杆7通过齿轮之间的啮合传动实现同步镜像转动的效果。As shown in FIG. 12 , the ends of the first connecting
为了便于使用,子装置之间为可拆卸式的组合方式,可以采用螺栓、卡扣、磁铁等多种方式实现易于拆装的组合,具体实施例中,相邻子装置的第一摆杆1和第二摆杆6之间卡扣连接,相邻子装置的第一滑块3和第二滑块8之间卡扣连接。详细来说,第一摆杆1的两端和第一滑块3上开设有定位凹槽9,第二摆杆6的两端和第二滑块8上开设有与定位凹槽9相匹配的定位凸台10,定位凹槽9与定位凸台10之间为过盈配合,以实现两者间的相互扣合。进一步的,为使定位凹槽9与定位凸台10之间的扣合更加牢靠,定位凸台10的外端面装设有磁铁,定位凹槽9的底面装设有磁铁,定位凸台10和定位凹槽9的磁铁能相互磁吸,通过定位凸台10和定位凹槽9的磁铁之间的磁吸力进一步加固定位凸台10和定位凹槽9之间的连接。For ease of use, the sub-devices are in a detachable combination, and bolts, snaps, magnets and other methods can be used to achieve an easy-to-assemble combination. In the specific embodiment, the
本装置既可以用于等分角的绘制,也可用于等分角的测量,具体来说:This device can be used for both the drawing of the bisected angle and the measurement of the bisected angle, specifically:
绘图等分角,包括如下步骤:Drawing equal angles, including the following steps:
a.取n个子装置组合,相邻子装置的第一摆杆1和第二摆杆6之间通过相应的定位凹槽9和定位凸台10卡扣连接,相邻子装置的第一滑块3和第二滑块8之间通过相应的定位凹槽9和定位凸台10卡扣连接。a. Take n combinations of sub-devices, the
b.调整子装置的第一摆杆1和第二摆杆6之间的夹角,使组合后装置最外侧的第一摆杆1和第二摆杆6与待等分角的边对齐。b. Adjust the angle between the
c.每个子装置的第一摆杆1和第二摆杆6之间的夹角即为待均分角的1/n,每个子装置的中间摆杆4与第一摆杆1和第二摆杆6之间的夹角即为待均分角的1/2n,通过开设于第一摆杆1、第二摆杆6和中间摆杆4上的凸尖,即可将各角度等分线准确定位。c. The angle between the
测量等分角,包括如下步骤:To measure the bisector angle, include the following steps:
a.取n个子装置组合,相邻子装置的第一摆杆1和第二摆杆6之间通过相应的定位凹槽9和定位凸台10卡扣连接,相邻子装置的第一滑块3和第二滑块8之间通过相应的定位凹槽9和定位凸台10卡扣连接。a. Take n combinations of sub-devices, the
b.调整子装置的第一摆杆1和第二摆杆6之间的夹角,使组合后装置最外侧的第一摆杆1和第二摆杆6与待均分角的边对齐。b. Adjust the angle between the
c.每个子装置的第一摆杆1和第二摆杆6之间的夹角即为待均分角的1/n,中间滑块5所对应位置处的刻度标尺403的读数即为待均分角的1/n的角度值。c. The angle between the
以上述依据本发明的理想实施例为启示,通过上述的说明内容,相关工作人员完全可以在不偏离本项发明技术思想的范围内,进行多样的变更以及修改。本项发明的技术性范围并不局限于说明书上的内容,必须要根据权利要求范围来确定其技术性范围。Taking the above ideal embodiments according to the present invention as inspiration, and through the above description, relevant personnel can make various changes and modifications without departing from the technical idea of the present invention. The technical scope of the present invention is not limited to the content in the specification, and the technical scope must be determined according to the scope of the claims.
Claims (9)
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
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CN115251589A (en) * | 2022-06-23 | 2022-11-01 | 淄博职业学院 | Automatic text proofing device |
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JPS57182101A (en) * | 1981-05-01 | 1982-11-09 | Ayao Tanaka | Method of equally dividing specified set angle and angle divider therefor |
CN87216226U (en) * | 1987-12-08 | 1988-10-12 | 袁军 | Planar angle-dividing mechanism |
CN2031955U (en) * | 1988-07-16 | 1989-02-01 | 黄世树 | Equiangular protractor series |
CN2491245Y (en) * | 2001-06-05 | 2002-05-15 | 李志深 | Device for uniform dividing any angle |
JP2008207531A (en) * | 2007-02-26 | 2008-09-11 | Shigeo Satake | Equally angle-dividing device of arbitrary angle |
CN201423843Y (en) * | 2009-03-10 | 2010-03-17 | 曹容瀚 | Angle trisecting unit |
CN205664769U (en) * | 2016-04-14 | 2016-10-26 | 中船黄埔文冲船舶有限公司 | Angle processing and angle measuring device with adjustable |
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GB669509A (en) * | 1950-05-03 | 1952-04-02 | Michael George Francis Ventris | Improvements in or relating to perspective drawing instruments |
JPS5595599A (en) * | 1979-01-12 | 1980-07-19 | Basf Ag | Index adjusting device for drawing board with index marking device |
JPS57182101A (en) * | 1981-05-01 | 1982-11-09 | Ayao Tanaka | Method of equally dividing specified set angle and angle divider therefor |
CN87216226U (en) * | 1987-12-08 | 1988-10-12 | 袁军 | Planar angle-dividing mechanism |
CN2031955U (en) * | 1988-07-16 | 1989-02-01 | 黄世树 | Equiangular protractor series |
CN2491245Y (en) * | 2001-06-05 | 2002-05-15 | 李志深 | Device for uniform dividing any angle |
JP2008207531A (en) * | 2007-02-26 | 2008-09-11 | Shigeo Satake | Equally angle-dividing device of arbitrary angle |
CN201423843Y (en) * | 2009-03-10 | 2010-03-17 | 曹容瀚 | Angle trisecting unit |
CN205664769U (en) * | 2016-04-14 | 2016-10-26 | 中船黄埔文冲船舶有限公司 | Angle processing and angle measuring device with adjustable |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN115251589A (en) * | 2022-06-23 | 2022-11-01 | 淄博职业学院 | Automatic text proofing device |
CN115251589B (en) * | 2022-06-23 | 2024-04-19 | 淄博职业学院 | Automatic text proofreading device |
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