WO2018145613A1 - Curve drawing and measurement tool - Google Patents

Curve drawing and measurement tool Download PDF

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Publication number
WO2018145613A1
WO2018145613A1 PCT/CN2018/075277 CN2018075277W WO2018145613A1 WO 2018145613 A1 WO2018145613 A1 WO 2018145613A1 CN 2018075277 W CN2018075277 W CN 2018075277W WO 2018145613 A1 WO2018145613 A1 WO 2018145613A1
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WIPO (PCT)
Prior art keywords
fixed point
curve
stainless steel
steel scale
fixed
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PCT/CN2018/075277
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French (fr)
Chinese (zh)
Inventor
满洪流
Original Assignee
满洪流
万华
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Publication of WO2018145613A1 publication Critical patent/WO2018145613A1/en

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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L11/00Non-circular-curve-drawing instruments
    • B43L11/02Non-circular-curve-drawing instruments for drawing conic sections
    • B43L11/04Non-circular-curve-drawing instruments for drawing conic sections for drawing ellipses
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L11/00Non-circular-curve-drawing instruments
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L13/00Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for
    • B43L13/001Mathematical drawing instruments
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L9/00Circular curve-drawing or like instruments
    • B43L9/007Circular curve-drawing or like instruments with perforated or marked rulers

Definitions

  • the present invention relates to a teaching mapping tool, in particular a curve mapping and measurement tool.
  • the compass can draw the circle easily, but the parabola, hyperbola, ellipse can't be drawn, junior high school math class
  • the process involves a large number of parabolic, hyperbolic, elliptical and other curve mapping problems, but currently there is no tool in the domestic and foreign markets that can draw these graphics simply and quickly. Students and teachers only draw these curves by hand, neither beautiful nor accurate.
  • the existing individual curve drawing invention tools are also mainly based on the definition of the curve, and the drawing is performed with a tight thin line, which is inconvenient and not fast to operate.
  • the length of the line can be measured in a straight scale, but the length of the curve has never been measured. When the student asks the length of the curve, the teacher cannot answer.
  • the curve drawing and measuring tool of the invention can conveniently and quickly draw parabola, hyperbola, ellipse, circle and other curves, solve the problem that the middle school students and teachers draw the curve without tools, and can also measure the length and arc of the curve.
  • the central angle of the segment which has the traditional protractor and ruler function, can draw any geometric figure. In the future, it can become a common mapping tool for middle school students.
  • the technical solution adopted by the invention solves the technical problem: according to the basic principle of the parabolic five-point drawing method, the fixed vertex, the left and right fixed points and the left and right auxiliary fixed points are five points, and the stainless steel scale made of the strip-shaped ultra-thin stainless steel sheet is used.
  • the elasticity determine the shape of the parabola, and then draw a parabola along the outside of the stainless steel scale with a pencil, pen or ballpoint pen. It is also possible to fix three points, that is, the fixed apex and the left and right fixed points use the elasticity of the stainless steel scale to bend the stainless steel scale into a parabola, and then draw a parabolic pattern along the outer side of the stainless steel scale.
  • the stainless steel scale Since the stainless steel scale has a scale on both sides, the length of the drawn curve can be directly read, so it is also a measuring tool for the curved section.
  • the round body is also a protractor, and the central angle corresponding to the arc segment can be read.
  • the invention has the following beneficial effects: the invention solves the problem that the curve drawing has no common tools all the time, and also solves the problem that the curve has no common measurement tools, filling a blank of the teaching tool, and its structure Simple and easy to operate, you can draw the curve or measure the length of the curve as you like. It is of great help to students to learn and understand parabola (quadratic function), hyperbolic (inverse proportional function), ellipse, circle and other curves, especially to enhance the perceptual knowledge of these knowledge, suitable for middle and high school students and teachers at home and abroad. Make a graph. Every middle school student at home and abroad needs such a curve mapping and measurement tool, which has great business opportunities.
  • Figure 1 Diagram of the state of the curve, which is a schematic diagram of the structure of the curve mapping and measurement tools;
  • Figure 2 Schematic diagram of the curve mapping and measurement tools in the drawing box, which is placed in the pencil case;
  • Figure 3 Structure diagram of the apex fixed slider
  • Figure 4 Structure diagram of other fixed sliders.
  • Figure 1 is the drawing state; when drawing, the center hole 2 of the circle body in the circular body 1 is determined to be a good position; according to the need of drawing, the fixed curve vertex fixed point 3, the fixed curve left end fixed point 4, the fixed curve right end Fixed point 5, fixed left auxiliary fixed point 6, fixed right auxiliary fixed point 7, fixed at five points; fixed apex fixed slide 13 in the apex fixed slide 8 when fixing the above five points, which is embedded in the fixed slide 8
  • the one-way body is easy to slide out in the outer body, and sliding to the outside of the circle will be stuck and fixed. It is necessary to pinch the upper end 22 of the sliding rod and adjust the length of the fixed sliding rod 13.
  • the left fixed slide 9 The fixed slide bar 14 is adjusted in the middle, the fixed slide bar 15 is adjusted in the right fixed slide 10, the fixed slide bar 16 is adjusted in the left auxiliary fixed slide 11, and the fixed slide 17 is adjusted in the right auxiliary fixed slide 12;
  • the scale 18 is fixed by the above five points to form a curve, and then a curve is drawn with a pencil or a pen along the outside of the stainless steel scale 18. Since the stainless steel scale 18 has a scale on both sides, it is convenient to read the length of the curved section. When not in use, the length of the stainless steel scale 18 is the circumference of the body circle 1, one end is fixed on the right fixing point 5, and the other end is fastened on the terminal buttonhole 19, which looks like FIG. 2, and is conveniently placed in the pencil case. Since the left end fixing point 4 of the stainless steel scale 18 is a live card slot, the stainless steel scale 18 is taken out, and a straight ruler is pressed on the table.
  • the protractor 20 on the body circle can draw any geometric shape such as a triangle.

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  • Drawing Aids And Blackboards (AREA)
  • Length-Measuring Instruments Using Mechanical Means (AREA)

Abstract

A curve drawing and measurement tool are provided. On the bases of the basic principle of the parabolic five-point drawing method, elasticity of a stainless steel scale (18) made of a strip-shaped ultra-thin stainless steel sheet is used to make the stainless steel scale (18) smoothly bend to be a desired parabolic shape and then to draw a parabolic pattern along the outside of the stainless steel scale (18). With this tool, a parabola, a hyperbola, an ellipse, a circle, and other curves can be drawn quickly and easily, and the length of the curve can be measured. The tool also has traditional functions of a protractor and a ruler, and can be used to draw any geometry.

Description

曲线作图和度量工具 Curve mapping and measurement tools
技术领域Technical field
本发明涉及一种教学作图工具,尤其是曲线作图和度量工具。The present invention relates to a teaching mapping tool, in particular a curve mapping and measurement tool.
背景技术Background technique
圆规可以轻而易举地画出圆,但是抛物线、双曲线、椭圆无法画出,初高中数学课 程涉及大量抛物线、双曲线、椭圆及其它曲线的作图问题,但目前国内外市场上没有一种工具可以简单快速地画出这些图形。学生和老师只有徒手绘制这些曲线,既不美观也不准确。已有的个别曲线作图发明工具也主要是根据曲线的定义,用绷紧的细线作图,操作起来既不方便又不快捷。The compass can draw the circle easily, but the parabola, hyperbola, ellipse can't be drawn, junior high school math class The process involves a large number of parabolic, hyperbolic, elliptical and other curve mapping problems, but currently there is no tool in the domestic and foreign markets that can draw these graphics simply and quickly. Students and teachers only draw these curves by hand, neither beautiful nor accurate. The existing individual curve drawing invention tools are also mainly based on the definition of the curve, and the drawing is performed with a tight thin line, which is inconvenient and not fast to operate.
直线的长度可以用直尺度量,但曲线的长度一直没有度量工具,每当学生问到曲线的长度问题时,教师无法回答。The length of the line can be measured in a straight scale, but the length of the curve has never been measured. When the student asks the length of the curve, the teacher cannot answer.
发明内容Summary of the invention
本发明的曲线作图与度量工具,可以方便快捷地画出抛物线、双曲线、椭圆、圆及其它曲线,解决了中学生及教师画曲线图没有工具的问题,还可以度量曲线的长度及弧线段所对的圆心角,它又有传统的量角器和直尺功能,可以画任何几何图形。日后,可成为中学生常用的作图工具。The curve drawing and measuring tool of the invention can conveniently and quickly draw parabola, hyperbola, ellipse, circle and other curves, solve the problem that the middle school students and teachers draw the curve without tools, and can also measure the length and arc of the curve. The central angle of the segment, which has the traditional protractor and ruler function, can draw any geometric figure. In the future, it can become a common mapping tool for middle school students.
本发明解决其技术问题所采用的技术方案:根据抛物线五点作图法的基本原理,固定顶点、左右固定点及左右辅助固定点五点,利用条形超薄不锈钢片做成的不锈钢刻度尺的弹性,确定抛物线形状,再用铅笔、钢笔或圆珠笔沿不锈钢刻度尺外侧画出抛物线。也可以固定三点,即固定顶点和左右固定点利用不锈钢刻度尺的弹性,使不锈钢刻度尺弯曲成抛物线,再沿不锈钢刻度尺的外侧画出抛物线图形。还可以固定二点,即左右固定点,利用不锈钢刻度尺的弹性,使不锈钢刻度尺弯曲成抛物线,再沿不锈钢刻度尺的内侧画出抛物线;将这一技术运用到双曲线中可以画出双曲线的一支,再复制另一支;将这一技术运用到椭圆之中,可以作出椭圆的一半,再复制另一半,当然也可以画圆及其它曲线。The technical solution adopted by the invention solves the technical problem: according to the basic principle of the parabolic five-point drawing method, the fixed vertex, the left and right fixed points and the left and right auxiliary fixed points are five points, and the stainless steel scale made of the strip-shaped ultra-thin stainless steel sheet is used. The elasticity, determine the shape of the parabola, and then draw a parabola along the outside of the stainless steel scale with a pencil, pen or ballpoint pen. It is also possible to fix three points, that is, the fixed apex and the left and right fixed points use the elasticity of the stainless steel scale to bend the stainless steel scale into a parabola, and then draw a parabolic pattern along the outer side of the stainless steel scale. You can also fix two points, that is, the left and right fixed points, use the elasticity of the stainless steel scale to bend the stainless steel scale into a parabola, and then draw a parabola along the inner side of the stainless steel scale; apply this technique to the hyperbola to draw a double One of the curves, then another; to apply this technique to the ellipse, you can make half of the ellipse, then copy the other half, of course, you can draw circles and other curves.
由于不锈钢刻度尺双面都有刻度尺,可以直接读出所画曲线的长度,所以它也是曲线段的度量工具,本圆体又是量角器,可以读出弧线段所对应的圆心角。Since the stainless steel scale has a scale on both sides, the length of the drawn curve can be directly read, so it is also a measuring tool for the curved section. The round body is also a protractor, and the central angle corresponding to the arc segment can be read.
把不锈钢刻度尺右端点与右固定滑杆固定,而左固定端点设计成活卡槽,方便取出不锈钢刻度尺,按在桌面上就是直尺,利用本圆体上的量角器,可以画出任何角、三角形等几何图形。Fix the right end of the stainless steel scale to the right fixed slide bar, and the left fixed end point is designed as a live card slot for easy removal of the stainless steel scale. Press the ruler on the table. You can draw any angle by using the protractor on the round body. Geometry such as triangles.
该发明有以下有益效果:该发明解决了一直以来,曲线作图没有常用工具的问题,也解决了一直一来,曲线没有常用的度量工具问题,填补了教学工具的一项空白,它的结构简单,操作方便,可以随心所欲地画出曲线或度量曲线长度。对学生学习和理解抛物线(二次函数)、双曲线(反比例函数)、椭圆、圆及其它曲线,有巨大的帮助,特别是增强了这些知识的感性认识,适合国内外的初高中学生和教师作曲线图。国内外每个中学生都需要这样的曲线作图与度量工具,具有重大的商机。The invention has the following beneficial effects: the invention solves the problem that the curve drawing has no common tools all the time, and also solves the problem that the curve has no common measurement tools, filling a blank of the teaching tool, and its structure Simple and easy to operate, you can draw the curve or measure the length of the curve as you like. It is of great help to students to learn and understand parabola (quadratic function), hyperbolic (inverse proportional function), ellipse, circle and other curves, especially to enhance the perceptual knowledge of these knowledge, suitable for middle and high school students and teachers at home and abroad. Make a graph. Every middle school student at home and abroad needs such a curve mapping and measurement tool, which has great business opportunities.
附图说明DRAWINGS
图1:为曲线作图状态,是曲线作图与度量工具的结构示意图;Figure 1: Diagram of the state of the curve, which is a schematic diagram of the structure of the curve mapping and measurement tools;
图2:为曲线作图与度量工具不作图状态,是放在文具盒中的示意图;Figure 2: Schematic diagram of the curve mapping and measurement tools in the drawing box, which is placed in the pencil case;
图3:顶点固定滑杆结构图;Figure 3: Structure diagram of the apex fixed slider;
图4:其它固定滑杆结构图。Figure 4: Structure diagram of other fixed sliders.
图1中,1、本圆体;2、本圆体中心孔;3、曲线顶点固定点;4、曲线左端固定点;5、曲线右端固定点;6、左辅助固定点;7、右辅助固定点;8、顶点固定滑道;9、左固定滑道;10、右固定滑道;11、左辅助固定滑道;12、右辅助固定滑道;13、顶点固定滑杆;14、左固定滑杆; 15、右固定滑杆;16、左辅助固定滑杆;17、右辅助固定滑杆;18、不锈钢刻度尺:由条形超薄不锈钢片做成的,双面都有刻度的不锈钢刻度尺;19、不锈钢刻度尺终端扣眼;20、本圆体量角器。In Figure 1, 1, the round body; 2, the center hole of the circle; 3, the fixed point of the curve apex; 4, the fixed point of the left end of the curve; 5, the fixed point of the right end of the curve; 6, the left auxiliary fixed point; 7, the right auxiliary Fixed point; 8, vertice fixed slide; 9, left fixed slide; 10, right fixed slide; 11, left auxiliary fixed slide; 12, right auxiliary fixed slide; 13, apex fixed slide; Fixed slide bar; 15. Right fixed sliding rod; 16, left auxiliary fixed sliding rod; 17, right auxiliary fixed sliding rod; 18, stainless steel scale: made of strip-shaped ultra-thin stainless steel sheet, stainless steel scale with scale on both sides; 19, stainless steel scale terminal buttonhole; 20, the round body protractor.
图3、图4中21、固定端点;22、滑动杆上端点。Figure 3, Figure 4, 21 fixed end points; 22, the upper end of the sliding rod.
具体实施方式detailed description
图1是作图状态;作图时将本圆体1中的本圆体中心孔2确定好位置;根据作图的需要,固定曲线顶点固定点3,固定曲线左端固定点4,固定曲线右端固定点5,固定左辅助固定点6,固定右辅助固定点7,共固定五点;固定上述五点时要在顶点固定滑道8内调节顶点固定滑杆13,它嵌入固定滑道8中,单向本圆体外滑出很方便,向本圆外内滑动会卡死固定,需要用手捏住滑动杆上端点22,调整固定滑杆13的长度,同理,在左固定滑道9内中调整固定滑杆14,在右固定滑道10中调整固定滑杆15,在左辅助固定滑道11内调整固定滑杆16,在右辅助固定滑道12内调整固定滑杆17;不锈钢刻度尺18就被上述五个点固定形成曲线,然后,沿不锈钢刻度尺18外侧用铅笔或钢笔画出曲线。由于不锈钢刻度尺18内双面都有刻度尺,很方便读出曲线段的长度。不用时,不锈钢刻度尺18的长度是本体圆1的周长,一端固定在右固定点5上,另一端扣在终端扣眼19上,看上去就是图2,放入文具盒很方便。由于不锈钢刻度尺18左端固定点4是活卡槽,取出不锈钢刻度尺18,按在桌上就是一把直尺,配合本体圆上的量角器20可以画出任何三角形等几何图形。Figure 1 is the drawing state; when drawing, the center hole 2 of the circle body in the circular body 1 is determined to be a good position; according to the need of drawing, the fixed curve vertex fixed point 3, the fixed curve left end fixed point 4, the fixed curve right end Fixed point 5, fixed left auxiliary fixed point 6, fixed right auxiliary fixed point 7, fixed at five points; fixed apex fixed slide 13 in the apex fixed slide 8 when fixing the above five points, which is embedded in the fixed slide 8 The one-way body is easy to slide out in the outer body, and sliding to the outside of the circle will be stuck and fixed. It is necessary to pinch the upper end 22 of the sliding rod and adjust the length of the fixed sliding rod 13. Similarly, the left fixed slide 9 The fixed slide bar 14 is adjusted in the middle, the fixed slide bar 15 is adjusted in the right fixed slide 10, the fixed slide bar 16 is adjusted in the left auxiliary fixed slide 11, and the fixed slide 17 is adjusted in the right auxiliary fixed slide 12; The scale 18 is fixed by the above five points to form a curve, and then a curve is drawn with a pencil or a pen along the outside of the stainless steel scale 18. Since the stainless steel scale 18 has a scale on both sides, it is convenient to read the length of the curved section. When not in use, the length of the stainless steel scale 18 is the circumference of the body circle 1, one end is fixed on the right fixing point 5, and the other end is fastened on the terminal buttonhole 19, which looks like FIG. 2, and is conveniently placed in the pencil case. Since the left end fixing point 4 of the stainless steel scale 18 is a live card slot, the stainless steel scale 18 is taken out, and a straight ruler is pressed on the table. The protractor 20 on the body circle can draw any geometric shape such as a triangle.
以上仅为本发明的优选实施例,并非因此限制本发明的专利范围,凡是在本发明的发明构思下,利用本发明说明书及附图内容所作的等效结构变换,或直接/间接运用在其他相关的技术领域均包括在本发明的专利保护范围内。The above is only a preferred embodiment of the present invention, and is not intended to limit the scope of the invention, and the equivalent structural transformations made by the present invention and the contents of the drawings, or directly/indirectly The relevant technical fields are all included in the scope of patent protection of the present invention.

Claims (6)

  1. 一种曲线作图和度量工具,它包括:本圆体( 1 );本圆体中心孔( 2 );曲线顶点固定点( 3 );曲线左端固定点( 4 );曲线右端固定点( 5 );左辅助固定点( 6 );右辅助固定点( 7 );顶点固定滑道( 8 );左固定点滑道( 9 );右固定点滑道( 10 );左辅助固定点滑道( 11 );右辅助固定点滑道( 12 );顶点固定滑杆( 13 );左固定点滑杆( 14 );右固定点滑杆( 15 );左辅助固定点滑杆( 16 );右辅助固定点滑杆( 17 );不锈钢刻度尺( 18 );不锈钢卷尺终端扣眼( 19 );本圆体量角器( 20 )。 A curve drawing and measuring tool, comprising: the circular body (1); the center hole of the circular body (2); the fixed point of the curve apex (3); the fixed point of the left end of the curve (4) ); fixed point at the right end of the curve ( 5 ); left auxiliary fixed point ( 6 ); right auxiliary fixed point ( 7 ); apex fixed slide ( 8 ); left fixed point slide ( 9 ); right fixed point slide ( 10 ) ); left auxiliary fixed point slide (11); right auxiliary fixed point slide (12); apex fixed slide (13); left fixed point slide (14); right fixed point slide (15) ); left auxiliary fixed point slider (16); right auxiliary fixed point slider (17); stainless steel scale (18); stainless steel tape measure terminal grommets (19); this round body protractor (20 ).
  2. 如权利要求 1 所述的曲线作图和度量工具,其特征在于,根据抛物线的五点作图法,利用不锈钢刻度尺的弹性,固定其上五点,使不锈钢刻度尺弯曲成抛物线,沿不锈钢刻度尺外侧画出抛物线图形,并根据不锈钢刻度尺直接读出所画曲线的长度,运用这一技术也可以画双曲线、椭圆、圆及其它曲线。Claims 1 The curve mapping and measurement tool is characterized in that, according to the five-point drawing method of the parabola, the elasticity of the stainless steel scale is used to fix the upper five points, and the stainless steel scale is bent into a parabola, and the stainless steel scale is drawn outside. A parabolic pattern is drawn and the length of the drawn curve is read directly from the stainless steel scale. Hyperbolic, elliptical, circular and other curves can also be drawn using this technique.
  3. 如权利要求 1 所述的曲线作图和度量工具,其特征在于,可以固定五点,即顶点固定点( 3 )、左固定点( 4 )、右固定点( 5 )、左辅助固定点( 6 )和右辅助固定点( 7 );或者三个固定点,即顶点固定点( 3 )、左固定点( 4 )及右固定点( 5 ),利用不锈钢刻度尺( 18 )的弹性,使不锈钢刻度尺弯成曲线,沿不锈钢刻度尺的外侧画出曲线。The curve mapping and measurement tool according to claim 1, wherein five points can be fixed, that is, a vertex fixed point (3), a left fixed point (4), and a right fixed point ( 5), left auxiliary fixed point (6) and right auxiliary fixed point (7); or three fixed points, namely apex fixed point (3), left fixed point (4) and right fixed point (5), using stainless steel scale ruler( 18) The elasticity of the stainless steel scale is curved and the curve is drawn along the outside of the stainless steel scale.
  4. 如权利要求 1 所述的曲线作图和度量工具,其特征在于,固定两点,即左固定点( 4 )和右固定点( 5 ),利用不锈钢刻度尺( 18 )的弹性,使不锈钢刻度尺弯成曲线,沿不锈钢刻度尺的内侧画出曲线。The curve mapping and metrology tool of claim 1 wherein two points are fixed, namely a left fixed point (4) and a right fixed point (5). ), using the elasticity of the stainless steel scale (18), the stainless steel scale is bent into a curve, and the curve is drawn along the inner side of the stainless steel scale.
  5. 如权利要求 1 所述的曲线作图和度量工具,其特征在是,不锈钢刻度尺( 18 )双面都有刻度,很方便读出曲线的长度,是曲线的度量工具,利用本圆体上的量角器( 20 )很方便读出弧线段所对的圆心角。The curve mapping and metrology tool of claim 1 characterized by a stainless steel scale (18) ) Both sides have scales, which are convenient for reading the length of the curve. It is a measurement tool for the curve. It is convenient to read the central angle of the arc segment by using the protractor (20) on the circle.
  6. 根据权利 1 所述的曲线作图和度量工具,其特征在是,不锈钢刻度尺可以作为直尺( 18 ),配合本圆体量角器( 20 )可以作三角形等几何图形。 The curve drawing and measuring tool according to claim 1, wherein the stainless steel scale can be used as a ruler (18) for the round body protractor (20) ) You can make geometric shapes such as triangles.
PCT/CN2018/075277 2017-02-07 2018-02-05 Curve drawing and measurement tool WO2018145613A1 (en)

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