JP3716464B2 - Triangulation indicator - Google Patents

Description

[0001]
[Industrial application fields]
Triangles and side lengths learned or when learning apex angles, parallel angles, interior angles, similarities, similarity ratios, equivalent angle and length relationships, or conditional or unconditional triangles The present invention relates to a triangle forming indicator used for drawing.
[0002]
[Prior art]
Conventionally, when drawing a triangle, or the relationship between the angle and side size of the triangle, it is written or drawn on a notebook, paper, etc. using a ruler, protractor, compass, etc. These instruments were prepared and the corners were cut and arranged to measure and confirm. This was a time-consuming task. Also, in order to check whether the drawing can be performed under the given conditions, the drawing is often repeated many times, which is also a time-consuming operation. Moreover, there is a place that does not lead to a deeper understanding because the conditions under which the triangles can not be learned experientially while deforming the triangles. In these learnings, there has been a demand for appropriate teaching tools that visually and easily show that there is an inevitable relationship between angles and side sizes.
[0003]
[Problems to be solved by the invention]
1 Various triangular figures can be formed according to specified conditions.
2 The angle of the formed triangle and the size of the side can be read immediately and accurately without using another instrument.
3 Able to copy the formed triangle on a notebook.
4. Be able to learn the relationship between angle and side size, etc. through experience while deforming the triangle.
[0004]
[Means for Solving the Problems]
Three transparent scales with a scale of length displayed on the inner side (2) which is the inner side are combined so as to form a triangle. Two bottom scales (10) are stacked, and one end of the left scale (3) and the right scale (1) is sandwiched between them. At that time, there are three intersections on each inner side of the three scales, but the intersection of the left scale and the bottom scale is the intersection A (13), and this is the zero point of the length scale of the left scale and the bottom scale. . The intersection of the bottom scale and the right scale is defined as intersection B (14), and this is the zero point on the scale of the right scale. The intersection of the right side scale and the left side scale is defined as an intersection C (15).
The intersection of the left side and the bottom scale, that is, the intersection A part will be described. Since the intersection A is the center of the scale of the angle formed by the length scale 0 and both scales, the left side One end of the scale is used as a circular key (16), which is incorporated into a circular guide groove (18) at one end of the bottom scale, with the outer side (7) side of the two layers being the groove bottom (6). This guide groove forms a circular groove by a semi-cylinder (17) centered on a point that is the zero point of the scale on the bottom scale, and a circular outer frame (19) that is also centered on this zero point, The left-side scale circular key can be rotated around the semi-cylinder, that is, about the zero point of the length scale. The scale of the angle is displayed on the bottom scale around the zero point, and the extension line of the inner side is displayed on the circular key as the angle measurement line (4) on the left scale. Thereby, the inner angle of the formed triangle can be read as the vertical angle.
As a method of joining the intersection A, a fulcrum (23) is attached to one end of each of the left and bottom scales with a screw (27) etc., and it is connected to a connecting pin ( 22) and the like, and there is a method of rotating the connection point (24) as a fulcrum. In this case, since the connecting portion of the fulcrum has a gap between the scales, the inner sides of both scales form a neat corner.
For the base, the intersection of the right side scale, and the intersection B part, on the inner side of the base scale, while holding the scale of 0 on the right side scale, both scales are rotated around the 0 point. In addition, one end of the right side scale has a circular shape with a radius R centered on the zero point of the scale, and a circular groove (20) with a radius r centered on the same point is provided on the inside thereof, while the bottom scale is The length from the inner side to the groove bottom is R, and the slide groove (11) is provided with a constant length r from the inner side. One end of the right side scale and the circular portion (21) are inserted into the two-layered bottom scale processed in this way, the circular groove and the slide groove are aligned, and fixed through the support pin (12). The outer diameter of the support pin and the groove width of the slide groove and the circular groove are approximately the same size, and the scale is smoothly moved and rotated, and accuracy is ensured. Similarly to the intersection A part, the angle on the right side scale is centered on the zero point of the scale, and the inner angle can be read at the position indicated by the inner side of the bottom scale.
In the case of joining here, as described above, a fulcrum tool is provided at one end of each of the bottom and right scales, which are connected on the vertical line of the 0 point on both scales, and rotated with this connecting point as a fulcrum. There is also a method of making it. In this case, the fulcrum on the bottom scale is fixed and slid on the frame (25) that slides parallel to the inner side of the scale.
For the intersection of the right side and the left side scale, that is, the intersection C part, the shape of the intersection is determined by the conditions of the points A and B, and this C point is determined immediately. The scale of both lengths on the left side can be read. In order to know the size of the corner of the point C, a slide angle device (8) is provided. This is arranged so that the right-side scale is sandwiched from the outer side, slides on the scale, and the center point (26) of the angle device moves on the inner side of the scale. Thereby, if the center point of this angle device is matched with the intersection C, the inner side of the left side scale indicates the inner angle.
[0005]
[Action]
When the problem 1 to be solved by the invention is to be established (1) When the length of one side and the angle of both ends thereof are designated, the left side scale (3) is rotated and the angle of the designated angle of the bottom angle device (5) is set. Stop at the place where the angle measurement line (4) is aligned, take the length of the base from the inner side (2) of the base scale (10), move the right side scale (1) to that point, Match the 0 point, read the specified angle from the right angle finder (9), and align it with the inner side of the base scale.
(2) When the length of the two sides and the angle between them are specified, for example, the angle measurement line of the left side scale is aligned with the location of the angle of the bottom angle scale, and the right side scale of the location of the length of the bottom scale is aligned. Align the 0 point and rotate the right side scale to the inner scale by rotating the right side scale to the scale of the length on the left side scale.
(3) When the length of the three sides is specified, the two sides are determined in the same manner as in (2), and the location of the length on the right side scale and the location of the left side scale are combined.
When the triangle is formed when the problem 2 to be solved by the invention is to be established, the length of the left side is displayed on the scale on the left side scale of the intersection C (15), and the angle between the left side scale and the bottom scale Displays the scale on the angle measurement line on the left side scale. The length of the base scale is indicated by a scale on the base scale at the intersection B (14), and the angle between the base scale and the right scale is indicated by the inner side of the base scale in the right angle device. The length of the right side scale is displayed on the right side scale at point C, and the angle between the right side scale and the left side scale is displayed by a slide angle device (8) sandwiching the right side scale.
When it is desired to establish Problem 3 to be solved by the invention, a triangle forming indicator is placed on a notebook or the like, and the three inner sides are traced with a writing instrument or the like so as not to move.
When it is desired to establish the problem 4 to be solved by the invention, the learning of the sum of the inner angles is performed by measuring two angles using a bottom angle device and a right angle device, and a third using a slide angle device. Also, by deforming to form various triangles, and confirming that the sum of the inner angles is always 180 degrees from the actions (1), (2), (3), etc., the necessary conditions for forming the triangle Learn about unnecessary or impossible conditions.
[0006]
【Example】
Three transparent scales with a scale of length displayed on the inner side (2) which is the inner side are combined so as to form a triangle. Two bottom scales (10) are stacked, and one end of the left scale (3) and the right scale (1) is sandwiched between them. The left side and the fulcrum part of the bottom scale, that is, the intersection A (13) part will be described. Since the intersection A is the center of the scale of the length 0 and the angle formed by both scales, this is the fulcrum. One end of the left-side scale is assembled as a circular key (16) into a circular guide groove (18) at one end of the bottom-side scale, with the double-sided outer side (7) side being the groove bottom (6). The guide groove is a circular groove formed by a semi-cylinder (17) centered at a point that is the zero point of the scale on the bottom scale and a circular outer frame (19) that is also centered on the zero point. It is. Next, a circular key on the left side scale is made to slide around the semi-cylinder, that is, to rotate around the 0 (zero) point of the length scale. The scale of the angle is displayed on the bottom scale centered on this 0 point, and the minus side of the inner side is displayed as a 0-degree line, and the left side is displayed from there. The extension line of the inner side of the left-side scale is an angle measurement line (4) As displayed on a circular key.
For the base, the intersection of the right side scale, and the intersection B (14) part, hold the zero scale of the right scale on the inner side of the base scale, and rotate both scales around the zero point. In order to achieve this, one end of the right side scale is formed into a circular shape with a radius R centered on the zero point of the scale, and a circular groove (20) with a radius r centered on the same point is provided inside thereof. On the other hand, the bottom scale has a length from the inner side to the groove bottom as R, and a slide groove (11) is provided with a constant length r from the inner side. One end of the right side scale, the circular portion (21) is inserted into the two-layered bottom scale thus processed, the circular groove and the slide groove are aligned, and fixed through the support pin (12). The outer diameter of the support pin and the groove width of the slide groove and the circular groove are approximately the same size, and the scale is smoothly moved and rotated, and accuracy is ensured. Similarly to the intersection A part, the right side scale displays the angle centered on the zero point of the scale with the negative inner side as the 0 degree line, and the inner angle can be seen at the part indicated by the inner side of the bottom scale. To.
A slide angle device (8) is provided for the purpose of knowing the size of the corners of the intersection of the right side and the left side scale, that is, the intersection C (15). This is arranged so that the right side scale is sandwiched from the outer side and slid on the scale, and the central point (26) of the angle device moves on the inner side of the scale. Also, when the outer edge and inner edge of the right-side scale are parallel and the U-shaped groove of the slide angle device moves along the outer edge of the right-side scale, each inner edge is aligned with a single line. To do.
In addition, the rotation and movement of each scale at the intersection A, intersection B and intersection C can be made smoothly, and at the slide part and the connecting part, a little harder so that it can be fixed at an arbitrary position. Keep fit.
Next, how to use the triangle forming indicator will be described.
When you want to establish Task 1 (1) When the length of one side and its both-end angles are specified, the left side scale is rotated, and the specified angle of the bottom angle adjuster matches the angle measurement line. Take the length of the base from the inner side of the base scale, move the right side scale to that point, match the zero point, read the specified angle from the right angle device, and find the base side and the inner side of the base scale Match.
(2) When the length of the two sides and the angle between them are specified, for example, the angle measurement line of the left side scale is aligned with the location of the angle of the bottom angle scale, and the right side scale of the location of the length of the bottom scale is aligned. Align the 0 point and rotate the right side scale to the inner scale by rotating the right side scale to the scale of the length on the left side scale.
(3) When the length of the three sides is designated, the two sides are determined in the same manner as in (2), and the location of the designated length on the right side scale is matched with the location of the left side scale.
When you want to establish Task 2, when the triangle is formed, the length of the left side is displayed on the scale on the left side scale of intersection C. The angle between the left side scale and the bottom side scale is the bottom angle scale of the left side scale. The scale is displayed with an angle measurement line. The length of the base scale is indicated by a scale on the base scale of the intersection B, and the angle between the base scale and the right scale is indicated by the inner side of the base scale in the right gonometer. The length of the right side scale is displayed on the right side scale at point C, and the angle between the right side scale and the left side scale is displayed by a slide angle device sandwiching the right side scale.
When you want to establish Task 3, place a triangle-shaped indicator on a notebook or the like and trace the three inner edges with a writing instrument or the like so as not to move.
When learning the sum of the inner angles when the task 4 is to be established, two angles are measured by the bottom angle unit and the right angle unit, and the third is measured by using a slide angle unit or the like. In addition, by deforming to form various triangles, and confirming that the sum of the inner angles is always 180 degrees from actions such as (1), (2), and (3), the necessary conditions for forming the triangle Learn about unnecessary or impossible conditions.
[0007]
【The invention's effect】
(B) Various triangular figures can be formed according to specified conditions.
(B) The angle of the formed triangle and the size of the side can be accurately read at the same time without using another instrument.
(C) The formed triangle can be copied on a notebook or the like.
(D) Learning the relationship between the angle and the length of the experience through deformation of the triangle.
(E) Learning about figures such as congruence, similarity condition, similarity ratio, etc.
[Brief description of the drawings]
FIG. 1 is a plan view showing a use state of a triangle forming indicator of the invention.
FIG. 2 is a perspective view showing an inner cross-section of one end of a left-side scale and a corresponding portion of the bottom-side scale into which the left-side scale is incorporated.
FIG. 3 is a plan view showing a state in which one end of a right side scale is inserted into one end of a bottom scale and connected with a support pin.
4 is a front view of a portion XX in FIG. 3. FIG.
FIG. 5 is a plan view of an intersection A part of a triangle forming display tool according to the invention having a three-dimensional structure using a fulcrum tool.
6 is a cross-sectional view taken along the fulcrum center line of FIG.
FIG. 7 is a plan view when the intersection point B is connected to a three-dimensional structure using a fulcrum tool.
FIG. 8 is a perspective view of a slide angle device.
[Explanation of symbols]
1 Right-side scale 13 Intersection A 25 Frame 2 Inner side 14 Intersection B 26 Center point 3 Left-side scale 15 Intersection C 27 Screw 4 Angle measurement line 16 Circular key 5 Bottom angler 17 Half cylinder 6 Groove bottom 18 Guide groove 7 Outer side 19 Outer side Frame 8 Slide angle device 20 Circular groove 9 Right angle device 21 Circular portion 10 Bottom scale 22 Connection pin 11 Slide groove 23 Supporting tool 12 Support pin 24 Connection point

Claims (3)

A bottom scale, a left-side scale provided to rotate near one end of the bottom scale, a right-side scale provided to be movable and rotatable on the bottom scale, and provided on the inner side of each scale It consists of a length scale and an angle scale for measuring the crossing angle between the base scale and the adjacent scale, and the left scale and the base scale rotate about the 0 point position of the scale on each inner side. A triangle forming indicator characterized by forming an angle side corresponding to a ruler angle at an intersection .   2. The triangle forming display according to claim 1, further comprising an auxiliary scale that is detachably attached to the left side scale or the right side scale and has an angle scale for measuring a crossing angle between the left side scale and the right side scale. Ingredients.   3. The right-side scale and the bottom-side scale can be rotated and adjusted with the 0-point position of the scale on each inner side as a fulcrum, and an angle side corresponding to the ruler angle is formed at the intersection. The triangle forming indicator as described.

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