JP2021172019A - Method for equally plotting angle into n sectors and device for equally plotting angle into n sectors - Google Patents

Abstract

To provide a method for equally plotting an angle into N sectors and a device for equally plotting an angle into N sectors capable of further simplifying a plotting step and corresponding to equal plotting of an angle into 3 or more sectors.SOLUTION: The method for equally plotting an angle into N sectors by equally plotting an angle (θ) regulated by a first line (La) and a second line (Lb) which pass through an original point (Oa) into N sectors by a natural number (N) excluding 1 and 2 includes: a reference circle plotting step of plotting a reference circle (11); a second reference circle plotting step of plotting an arc of a second reference circle (13); and an Nth origin determination step of putting a mark so as to determine an Nth origin (On). The method further includes: at least one of a one-bisection angle line plotting step of plotting one bisection angle line (14) and an other-bisection angle line plotting step of plotting the other bisection angle line (15); and at least one of a one-N-section angle line plotting step of plotting one N-section angle line (16) and an other-N-section angle line plotting step of plotting the other N-section angle line (17).SELECTED DRAWING: Figure 4

Description

In the present invention, the angle (θ) defined by the line segment of the first line and the line segment of the second line passing through the origin is divided into N equal parts by a natural number (N) excluding 1 and 2. Regarding the method and the N equalizer of the corner.

The conventional N-equal division device for angles is an auxiliary tool for drawing three equal parts of an angle, and it is used as an aid for easily drawing three equal parts for learning the method of drawing three equal parts of an arbitrary angle. The purpose is to use the law of the trisection drawing method that was devised on a drawing in which one side of a straight line with an arbitrary angle, a quadrant line, and a central angle is written on a sheet of paper such as a notebook. By placing the substrate 1 on which the mark of the trisection line can be written and operating the indicator needle, etc., 3 A structure has been proposed in which an equidistant line can be drawn (see Patent Document 1). It should be noted that this conventional angle trisection assisting device is for copying what has been drawn, and does not itself divide an arbitrary angle into three equal parts.

Japanese Unexamined Patent Publication No. 2011-131593 (page 1, [0007])

The problem to be solved with respect to the angle N equal division method and the angle N equal division device is that in the arbitrary angle trisection drawing method copied by the conventional angle trisection drawing auxiliary. The procedure (process) is complicated, and the angle trisection drawing aid itself does not draw any angle trisection, and it is only trisection, and the angle is 3 or more. It is not related to the N equal division of.

Therefore, an object of the present invention is to provide an N-equal drawing method for angles and an N-equalizer for angles, which can further simplify the drawing process and can handle N equal divisions of three or more angles.

The present invention includes the following configurations in order to achieve the above object.
According to one form of the N-equal drawing method for angles according to the present invention, any angle defined by a line segment of the first line (La) and a line segment of the second line (Lb) passing through the origin (Oa). (Θ) is an N equal division method of an angle that divides (θ) into N equal parts by a natural number (N) excluding 1 and 2, and is a reference circle drawing process in which a reference circle (11) is drawn around the origin (Oa). A center line drawing step of dividing the angle (θ) into two equal parts and drawing a center line (12) passing through the origin (Oa), and a line extending outside the angle (θ) of the center line (12). Then, centering on the center point (Ob) having a double radius intersecting the reference circle (11), it touches the circumference on the opposite side of the reference circle (11) with a radius twice the reference circle (11). A second reference circle drawing step of drawing an arc which is at least a part of the second reference circle (13) configured as described above, and a line extending outside the angle (θ) of the center line (12). Including the Nth origin determination step of marking so as to determine the Nth origin (On), which is a point at a position N-1 times the radius of the reference circle (11) from the origin (Oa). By passing through the center point (Ob) having the double radius and the first intersection (S1) at which the reference circle (11) intersects the first line (La), the dichotomy (θ /) The process of drawing one halved circle line (14), which is one of the line segments defining 2), the center point (Ob) of the double radius, and the second line (Lb). ) Passes through the second intersection (S2), which is the point where the reference circle (11) intersects, and the other dichotomy line (θ / 2), which is the other line segment that defines the dichotomy angle (θ / 2). The second is on an extension of the Nth origin (On) and the one dichotomous line (14), including at least one of the other bisection line drawing steps of drawing 15). By passing through the third intersection (S3), which is a point that intersects the arc of the reference circle (13) of It intersects the arc of the second reference circle (13) on the extension line of the Nth origin (On) and the other half angle line (15), which draws 16). The other N-division line that draws the other N-division line (17), which is the other line segment that defines the N-division angle (θ / N), by passing through the fourth intersection (S4), which is the point to be It is characterized by including at least one of the drawing steps corresponding to at least one of the two-quarter line drawing steps or the other half-angle line drawing step.

Further, according to one form of the angle N equal division according to the present invention, the angle N equal division used in the above-mentioned angle N equal division method, and a plane (101) capable of drawing is formed. The bearing hole is provided in a flat plate shape so that the rotation shaft can be inserted and rotated, and the bearing hole that receives the rotation shaft is formed on the plane (101) so as to correspond to the center line (12). At least two or more are provided on the drawn line segment at intervals of 1 time and N-1 times the radius from the point corresponding to the origin (0a) with reference to the radius of the reference circle (11). The base plate (100) and the first bearing hole provided in the shape of a long ruler and at a position corresponding to the center point (Ob) of the double radius, which is one of the bearing holes. A first rotating shaft (210), which is one of the rotating shafts that can be inserted into (110), is provided, and the length from the first rotating shaft (210) to the edge (221) is the above. A length corresponding to twice the radius of the reference circle (11), at least a part of the edge (221), the one dichotomy line (14) or the other dichotomy line (14). A first rotating ruler piece (200) having a ruler straight side (220) corresponding to at least one of the line segments corresponding to (15), and one of the bearing holes provided in a long ruler shape. A second rotating shaft (310), which is one of the rotating shafts, can be inserted into the Nth bearing hole (120) provided at a position corresponding to the Nth origin (On). At least in the vicinity of the first rotating ruler piece (200) in contact with the edge (221), the one N-segment line (16) or the other N-segment line (17). It is characterized by including a second rotating ruler piece (300) having a ruler straight line side (320) corresponding to at least one of the line segments corresponding to.

According to the angle N equal division method and the angle N equal division according to the present invention, the drawing process can be further simplified, and a special advantageous effect of being able to deal with N equal divisions of three or more angles is obtained.

It is explanatory drawing which shows the arbitrary angle which is the object of the N equal division drawing method of the angle which concerns on this invention. It is 1st explanatory drawing which shows the process example of the N equal division drawing method of the angle which concerns on this invention. It is a 2nd explanatory drawing which shows the process example of the N equal division drawing method of the angle which concerns on this invention. It is a 3rd explanatory drawing which shows the process example of the N equal division drawing method of the angle which concerns on this invention. It is (a) plan view and (b) side view which shows the base (100) which is the structure of the angle N equal division device which concerns on this invention. It is (a) plan view and (b) side view which shows the 1st rotation ruler piece (200) which is the structure of the angle N equal division device which concerns on this invention. It is (a) plan view and (b) side view which shows the 2nd rotation ruler piece (300) which is the structure of the angle N equal division device which concerns on this invention. It is explanatory drawing which shows the use preparation state of the angle N equal division device which concerns on this invention. It is explanatory drawing which shows the use state (the angle trisection) of the angle N equal division device which concerns on this invention. It is an enlarged explanatory view explaining the main part of FIG. It is explanatory drawing which shows the use state (the angle is divided into 5 equal parts) of the angle N equal division device which concerns on this invention. It is 1st explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a 2nd explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a 3rd explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a 4th explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a 5th explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a sixth explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a 7th explanatory drawing which shows the principle of the N equal division drawing method of the angle which concerns on this invention. It is a plane explanatory view which shows Example 1 of the angle N equal division (three equal division) which concerns on this invention. It is sectional drawing which shows Example 1 of the angle N equal division (three equal division) which concerns on this invention. It is a plane explanatory view which shows Example 2 of the angle N equal division (three equal division) which concerns on this invention. It is sectional drawing which shows Example 2 of the angle N equal division (three equal division) which concerns on this invention. It is a plane explanatory view which shows Example 3 of the angle N equal division (three equal division) which concerns on this invention. It is sectional drawing which shows Example 3 of the angle N equal division (three equal division) which concerns on this invention.

Hereinafter, a procedure example of the N equal division drawing method for angles according to the present invention will be described with reference to FIGS. 1 to 4.
The N-equal drawing method for angles according to the present invention is a method of drawing using only a compass and a ruler that draws a straight line, and as shown in FIG. 1, a line of a first line (La) passing through an origin (Oa). This is a method that can be easily used when dividing an arbitrary angle (θ) defined by a line segment of a minute and a second line (Lb) into N equal parts by a natural number (N) excluding 1 and 2.

In the N-equal drawing method for angles according to the present invention, first, as shown in FIG. 2, a reference circle drawing step of drawing a reference circle (11) around the origin (Oa) and the angle (θ) are performed. A center line drawing step of dividing into two equal parts and drawing a center line (12) passing through the origin (Oa), and a line extending outside the angle (θ) of the center line (12), the reference circle (11). ) Is centered on the center point (Ob) having a double radius and is configured to be in contact with the circumference on the opposite side of the reference circle (11) with a radius twice that of the reference circle (11). A second reference circle drawing step of drawing an arc that is at least a part of the reference circle (13) of the above, and a line extending outward from the angle (θ) of the center line (12), the origin (Oa). The Nth origin determination step of marking so as to determine the Nth origin (On), which is a point at a position N-1 times the radius of the reference circle (11).

Needless to say, the center line drawing step can be performed by using two auxiliary circles having the same diameter (for example, 11a and 11b shown in FIG. 2). In the example shown in FIG. 2, the auxiliary circle 11a is a circle having the same diameter as the reference circle 11 centered on the first intersection (S1), and the auxiliary circle 11b is centered on the second intersection (S2). It is a circle having the same diameter as the reference circle 11. The center line 12 can be obtained by drawing a straight line so as to pass through the two intersections where the two auxiliary circles 11a and 11b intersect.

As the next step, by passing through the center point (Ob) having the double radius and the first intersection (S1) at which the reference circle (11) intersects the first line segment (La), 2 One half-angle line drawing process that draws one half-angle line (14), which is one line segment that defines the division angle (θ / 2), the center point (Ob) of the double radius, and the above. The other line segment that defines the dichotomy (θ / 2) by passing through the second intersection (S2), which is the point where the reference circle (11) intersects the second line (Lb). Includes at least one of the other half-segment drawing steps of drawing the half-section line (15).

Then, as a next step, a third point that intersects the arc of the second reference circle (13) on the extension of the Nth origin (On) and one of the angle bisectors (14). One N-angle line drawing step of drawing one N-angle line (16), which is one line segment defining the N-angle (θ / N) by passing through the intersection (S3) of By passing through the N origin (On) and the fourth intersection (S4), which is a point intersecting the arc of the second reference circle (13) on the extension of the other angle bisector (15). At least one of the other angle bisector drawing steps of drawing the other N segment line (17), which is the other line segment defining the N segment angle (θ / N). Alternatively, any of the steps corresponding to the other angle bisector drawing step is included.

If either one of the N-angle lines (16) or the other N-angle line (17) can be drawn, the center line (12) is fixed, so the N-angle (θ /). It is possible to obtain a half angle of N). Then, the N-division angle (θ / N) obtained by doubling the half-angle of the N-division angle (θ / N) is easily defined by a compass and a ruler that draws a straight line. can do. Therefore, if either one of the N-angle lines (16) or the other N-angle line (17) can be drawn, the N-angle (θ / N) can be obtained.

Further, the drawing examples shown in FIGS. 1 to 4 show the case of dividing the angle into three equal parts, but by the same process, a natural number (N) larger than 3 is equally divided for an arbitrary angle (θ). be able to.
According to this method of drawing N equal parts of angles, the drawing process can be further simplified, and a special advantageous effect of being able to deal with N equal parts of three or more angles is obtained.

Next, a morphological example of the angle N equal division according to the present invention will be described in detail with reference to FIGS. 5 to 11. FIGS. 5 to 7 show the component configurations of the angle trisection (base plate (100), first rotating ruler piece (200), second rotating ruler piece (300)), respectively. Is. Further, FIGS. 8 to 10 are diagrams showing a method of using the angle as a trisection device as a specific example used in the above-described angle trisection drawing method.

Reference numeral (100) is a base plate, which is provided in a flat plate shape so as to form a flat surface (101) capable of drawing, and a bearing hole for receiving the rotating shaft so that the rotating shaft can be inserted and rotated. On a line segment drawn on the plane (101) so as to correspond to the center line (12), the radius is from a point corresponding to the origin (0a) with reference to the radius of the reference circle (11). At least two or more are provided with an interval of 1 times and N-1 times.

(200) is the first rotating ruler piece, which is provided in the shape of a long ruler, and is provided at a position corresponding to the center point (Ob) of the double radius, which is one of the bearing holes. It is provided with a first rotating shaft (210) which is one of the rotating shafts that can be inserted into the first bearing hole (110), and from the first rotating shaft (210) to the edge (221). The length is a length corresponding to twice the radius of the reference circle (11), and at least a part of the edge (221), the one half line segment (14) or the other. It is provided with a ruler straight line side (220) that coincides with at least one of the line segments corresponding to the dichotomous line (15) of the above.

Further, (300) is a second rotating ruler piece, which is provided in a long ruler shape and is provided at a position corresponding to the Nth origin (On), which is one of the bearing holes. A second rotating shaft (310), which is one of the rotating shafts that can be inserted into the N bearing hole (120), is provided, and at least the end edge (221) of the first rotating ruler piece (200) is provided. ), A ruler straight line side (320) that coincides with at least one of the one N-segment line (16) or the other N-segment line (17). Be prepared.

FIG. 8 is a diagram in which the parts of the base plate (100), the first rotating ruler piece (200), and the second rotating ruler piece (300) are combined, and preparations for N equal division of the corners are performed. Indicates the state.

FIG. 9 shows θ / 3 obtained from two bars (first rotating ruler piece (200) and second rotating ruler piece (300)), thereby dividing ∠θ into three equal parts. Will be possible.
FIG. 10 is an enlarged detailed view showing a state in which ∠θ is divided into three equal parts, and shows a state in which the process described in the above-mentioned N equal division drawing method for angles is performed by an N equal division device for this angle. ing.

FIG. 11 shows that θ / 5 is obtained as an example of N equal division of ∠θ, and it is also possible to obtain θ / N in the same manner. As shown in FIGS. 6 (b) and 7 (b), the first rotation shaft (210) and the second rotation shaft (310) are the first rotation ruler piece (200) or the second rotation. The first rotating ruler piece (200) or the first rotating ruler piece (200) is inserted into the first bearing hole (110) or the Nth bearing hole (120) into which the ruler piece (300) is inserted and protrudes to both sides. By inserting both of the second rotating ruler pieces (300) in reverse, the θ / N on the side shown and the opposite side to be the target can be obtained in the same manner. Further, in the embodiment described as described above, the rotating shaft is formed on one side of the rotating ruler and the bearing hole is formed on the main body side. A similar effect can be obtained. That is, the relationship between the rotating shaft and the bearing hole is relative, and the rotating shaft is provided on the side of the base plate and the bearing hole is provided on the side of the rotating ruler piece. Even with this configuration, the corners can be divided into N equal parts in the same manner. However, as in the embodiment shown in FIGS. 5 to 11, the configuration in which the bearing holes (110, 120) are provided on the base plate (100) is on the plane (101) of the base plate (100). Since the bearing has no protrusions, it is easy to draw on the plane, and it is easy to copy the drawn line.

Next, the principle of the N equal division drawing method for angles according to the present invention will be described with reference to FIGS. 12 to 18.
(N equal division of the angle by N equal division of the arc)
Since ancient times, it has been proved that it is impossible to draw an angle trisection with a straightedge and a compass only to draw a straight line without a scale by an algebraic method. What we will discuss here is that if you have a ruler and a compass, the arcs of the corners of concentric circles are divided into N equal parts (N = arbitrary number; the same applies hereinafter) by a simple geometric method, and N equal parts of the corners become possible. That is.
If the angle can be divided into N equal parts, it is natural that the angle can be divided into three equal parts.

1. 1. Relationship between angle and arc The magnitude of ∠θ in FIG. 12 is proportional to the length of the arc when the angle of ∠θ changes in the circle L1.
In other words, the size of the angle is θ / 2 when the arc length is halved, and θ / 4 when the arc length is 1/4.

2. Representation of the arc length of the angle The arc length A1-B1 of ∠θ in FIG. 13 can be expressed as the arc of the chord of 2 × sinθ / 2.
Further, the lengths of the arcs O1-A1 and the arcs O1-B1 of ∠θ / 2 obtained by dividing ∠θ into two equal parts are the arcs of the strings having a length of 2 × sinθ / 4.
Since the arc A1-B1 is twice as long as the arc of ∠θ / 2, it can be expressed as an arc having a string having a length of 2 × (2 × sinθ / 4) = 4 × sinθ / 4.
The arc of ∠θ can be expressed as the length of the arc of (1) 2 × sinθ / 2 or the arc of (2) 4 × sinθ / 4. The chord lengths (1) and (2) are different, but the arc lengths are the same.

3.2 Double concentric circles In Fig. 14, the arc of the concentric circle L2, which is twice the length of ∠θ, is twice as long as the arc of L1, so the arc of ∠θ / 2 of L2 is the arc A1-B1 of L1. It will be the same length. Since the arc of ∠θ / 2 of L2 is the arc of a string with a length of 4 × sinθ / 4, the arc A2-B2 of L2 is twice as long as the arc of a string with a length of 4 × sinθ / 4. become. From a different point of view, the arc A2-B2 of L2 can be divided into two equal parts by the arc of a string having a length of 4 × sin θ / 4. This indicates that the arc of the concentric circles of ∠θ spreads by the length of the arc of the chord with a length of 4 × sinθ / 4 in proportion to the magnification of the radius of the central circle. It is an element that can divide the angle into N equal parts by the minute.

4.4 times concentric circle Since the arc A4-B4 of the four times concentric circle L4 in Fig. 15 is twice as long as the arc of the double concentric circle L2 arc A2-B2 (4 × sin θ / 4) It is four times as long as the arc of the string.
From the figure, it can be seen that the arc A4-B4 of L4 is divided into four equal parts by the arc p1-p2 of the string of 4 × sin θ / 4 of l2.

5. Angle trisection Fig. 16 shows the arc A3-B3 of ∠θ of the triple concentric circle divided into four equal parts in FIG. It is the figure which divided into three equal parts by an arc. The length of the arc chord of ∠θ in FIG. 16 is L1 arc chord A1-B1 = 4 × sinθ / 4
L2 arc string A2-B2 = 2 × (4 × sinθ / 4)
The L3 arc string A3-B3 = 3 × (4 × sinθ / 4).
From this, it can be seen that the arc A3-B3 of ∠θ of L3 is divided into three equal parts by the arc p1-p2 of the string of 4 × sinθ / 4 as shown in the figure.
By dividing the arc into three equal parts, the angle can be divided into three equal parts to obtain θ / 3.
The string of the arc E3-F3 of L3 divided into three equal parts is 6 × sin θ / 6.
The above is the proof that any corner is divided into three equal parts by using a ruler and a compass.

6. N equal division of angles FIG. 17 shows that N equal division of angles is possible within a range of 90 degrees.
The arc length of a concentric circle N times the angle θ is equal to N times the arc of the (4 × sin θ / 4) string.
FIG. 17 shows that the arcs of L1 to L7 of ∠θ of a 7-fold concentric circle are divided into N equal parts by the arc of a string of 4 × sinθ / 4.
The arc A7-B7 of the 7 times concentric circle L7 has a length equal to 7 × (4 × sin θ / 4), which is 7 times the arc of the 4 × sin θ / 4 string, so the arc of the 4 × sin θ / 4 string. It is divided into 7 equal parts by p1-p2, and θ / 7 can be obtained.
The arc of ∠θ of an N-fold concentric circle can be divided into N equal parts by the arc p1-p2 of a 4 × sinθ / 4 string only for prime-numbered concentric circles except for a 4-fold concentric circle.

FIG. 18 is an enlarged view of FIG. 17 for easy understanding.
L2 is a double concentric circle.
L3 is 3 times and L4 is 4 times the arc of concentric circles ∠θ.
l5 is the central circle of 5 times concentric circles, and l7 is the central circle of 7 times concentric circles.
From the figure, it can be seen that each arc of ∠θ of the concentric circle is divided into N equal parts by the arc p1-p2 of the string of 4 × sinθ / 4, and the angle of θ / N is obtained.

Next, an embodiment in which the rotating ruler pieces (200, 300) are temporarily held (temporarily fixed) on the base plate (100) based on FIGS. 19 to 24 will be shown.
According to the first embodiment of FIGS. 19 and 20, there is a holding plate straddling the base plate (100) which is the main body to the left and right, and a slit groove of the holding plate along the length direction is formed near the center thereof. The tightening tool (bolt) can slide freely along the slit groove of the holding plate, and by stopping near the rotating ruler piece (200, 300) and tightening the screw, the rotating ruler piece can be tightened. Can be temporarily fixed. For tightening, the pedestal (100) has a slit groove on the pedestal side at a position corresponding to the slit groove of the holding plate, and the bolt penetrates each slit groove, and the bolt is bolted up and down via a washer. It is done by tightening with a wing nut.

According to the second embodiment of FIGS. 21 and 22, holes are drilled at appropriate positions of the rotating ruler pieces (200, 300). The bolt slides on the back side of the base plate (100) and is provided with a slit-shaped detent sliding portion having the same center radius as the turning radius of the hole at an appropriate position of the rotating ruler piece. It is slidably fitted and arranged in the portion. By screwing a set screw (wing nut) from the upper part through a washer to the screw part of the bolt that is inserted into the hole of the rotating ruler piece and projects upward, the set screw (wing nut) is screwed into an arbitrary position. The moving ruler piece can be temporarily fixed.

According to the third embodiment of FIGS. 23 and 24, the rotating shaft is fixed to the receiving hole of the rotating shaft on the main body (base (100)) side from the lower side to the upper side, and a screw is formed on the tip side thereof. Has been done. On the other hand, the rotating shaft portion of the rotating ruler pieces (200, 300) is formed with a rotating hole that fits into the rotating shaft. The rotating hole is inserted through a rotating shaft fixed to the main body side and tightened with a wing nut or the like using the screw at the tip to temporarily fix the rotating hole.
Further, the main body side may be a female screw and bolted from above the rotating ruler piece. In this case, a fitting hole without a screw of an appropriate depth is formed on the main body side so that the center position can be accurately determined, and the screw is long enough to fit into the precision hole and be tightened on the tip side of the bolt. It is necessary to form a straight outer shape.

Further, as a method of temporarily holding (temporarily fixing) the rotating ruler pieces (200, 300) on the base plate (100), it goes without saying that it can be appropriately selected from various conceivable methods such as using the magnetic force of a magnet. be.

Although various examples of the present invention have been described above, the present invention is not limited to the examples of the present invention, and it goes without saying that many modifications can be made without departing from the spirit of the invention. That is.

La 1st line Lb 2nd line N Natural numbers excluding 1 and 2 Oa Origin Ob Center point of double radius On Nth origin S1 1st intersection S2 2nd intersection S3 3rd intersection S4 4th intersection θ Arbitrary Angle θ / 2 Bisection angle θ / N N division angle 11 Reference circle 12 Center line 13 Second reference circle 14 One half angle line 15 One half angle line 16 One N division angle line 17 The other N division angle line 100 Base 101 Plane 110 First bearing hole 120 Nth bearing hole 200 First rotating ruler piece 210 First rotating shaft 220 Ruler straight side 221 Edge edge 300 Second rotating ruler piece 310 Second rotation axis 320 Ruler straight side

Further, according to one form of the angle N equal division according to the present invention, the angle N equal division used in the above-mentioned angle N equal division method, and a plane (101) capable of drawing is formed. provided flat disc shape as the rotating shaft is inserted in a bearing hole for receiving the rotary shaft so as to be rotated, the pulled flat (101) to correspond to the center line (12) At least two or more are provided on the line segment at intervals of 1 time and N-1 times the radius from the point corresponding to the origin (0a) with reference to the radius of the reference circle (11). A base plate (100) and a first bearing hole (110) provided in the shape of a long ruler and at a position corresponding to the center point (Ob) of the double radius, which is one of the bearing holes. ) Is provided, and the length from the first rotation shaft (210) to the edge (221) is the reference circle. A length corresponding to twice the radius of (11), and at least a part of the edge (221), the one halved line (14) or the other halved line (15). A first rotating ruler piece (200) having a straight line side (220) of a ruler that matches at least one of the line segments corresponding to), and one of the bearing holes provided in a long ruler shape. It is provided with a second rotating shaft (310), which is one of the rotating shafts, which can be inserted into the Nth bearing hole (120) provided at a position corresponding to the Nth origin (On). At least a part of the first rotating ruler piece (200) in the vicinity of the edge (221), which corresponds to the one N-segment line (16) or the other N-segment line (17). It is characterized by comprising a second rotating ruler piece (300) having a ruler straight line side (320) that matches at least one of the line segments.

(100) is a weighing table, drawing is provided in a flat disc-shaped so as to form a plane (101) capable of rotating shaft is inserted in a bearing hole for receiving the rotary shaft so as to be rotated, On a line segment drawn on the plane (101) so as to correspond to the center line (12), one time the radius from the point corresponding to the origin (0a) with reference to the radius of the reference circle (11). And at least two are provided with an interval of N-1 times.

FIG. 11 shows that θ / 5 is obtained as an example of N equal division of ∠θ, and it is also possible to obtain θ / N in the same manner. As shown in FIGS. 6 (b) and 7 (b), the first rotation shaft (210) and the second rotation shaft (310) are the first rotation ruler piece (200) or the second rotation. The first rotating ruler piece (200) or the first rotating ruler piece (200) is inserted into the first bearing hole (110) or the Nth bearing hole (120) into which the ruler piece (300) is inserted and protrudes to both sides. By inserting both of the second rotating ruler pieces (300) in reverse, the θ / N on the side shown and the opposite side to be the target can be obtained in the same manner. Also, the following described with the rotating shaft to rotate ruler one side in the embodiment has a, but constitutes a bearing hole in the body, also the rotating shaft and the bearing hole in the body side rotation ruler one side, similar The effect is obtained. That is, the relationship between the rotating shaft and the bearing hole is relative, and the rotating shaft is provided on the side of the base plate and the bearing hole is provided on the side of the rotating ruler piece. Even with the above configuration, the corners can be divided into N equal parts in the same manner. However, as in the embodiment shown in FIGS. 5 to 11, the configuration in which the bearing holes (110, 120) are provided on the base plate (100) is on the plane (101) of the base plate (100). Since the bearing has no protrusions, it is easy to draw on the plane, and it is easy to copy the drawn line.

According to the third embodiment of FIG. 23 and 24, and the body (weighing table (100)) side rotating shaft receiving hole of the rotation shaft of fixed upward from below, the screw is formed on the distal end side ing. On the other hand, the rotating shaft portion of the rotating ruler pieces (200, 300) is formed with a rotating hole that fits into the rotating shaft. The rotating hole is inserted through a rotating shaft fixed to the main body side and tightened with a wing nut or the like using the screw at the tip to temporarily fix the rotating hole.
Further, the main body side may be a female screw and bolted from above the rotating ruler piece. In this case, a fitting hole without a screw of an appropriate depth is formed on the main body side so that the center position can be accurately determined, and the screw is long enough to fit into the precision hole and be tightened on the tip side of the bolt. It is necessary to form a straight outer shape.

Claims (2)

Arbitrary angle (θ) defined by the line segment of the first line (La) and the line segment of the second line (Lb) passing through the origin (Oa) is divided into N equal parts by a natural number (N) excluding 1 and 2. It is a method of dividing the angle into N equal parts.
A reference circle drawing process in which a reference circle (11) is drawn around the origin (Oa), and
A center line drawing process in which the angle (θ) is divided into two equal parts and a center line (12) passing through the origin (Oa) is drawn.
Of the reference circle (11), centered on a center point (Ob) having a double radius intersecting the reference circle (11) on a line extending outside the angle (θ) of the center line (12). A second reference circle drawing process that draws an arc that is at least a part of the second reference circle (13) configured to touch the opposite circumference of the reference circle (11) with a double radius.
The Nth origin, which is a line extending outward from the angle (θ) of the center line (12) and is located at a position N-1 times the radius of the reference circle (11) from the origin (Oa). Including the Nth origin determination step of marking to determine (On),
By passing through the center point (Ob) of the double radius and the first intersection (S1) at which the reference circle (11) intersects the first line (La), the dichotomy (θ /) The process of drawing one half-angle line (14), which is one of the line segments defining 2), the center point (Ob) of the double radius, and the second line (Lb). ) Passes through the second intersection (S2), which is the point where the reference circle (11) intersects, and the other dichotomous line (S2), which is the other line segment defining the dichotomy (θ / 2). Includes at least one of the other two-segment line drawing steps of drawing 15).
Passing through the third intersection (S3), which is a point intersecting the arc of the second reference circle (13) on the extension line of the Nth origin (On) and the one half-angle line (14). Then, one N-intersection line drawing step of drawing one N-intersection line (16), which is one of the line segments defining the N-intersection angle (θ / N), the N-th origin (On), and the above-mentioned By passing through the fourth intersection (S4), which is a point that intersects the arc of the second reference circle (13) on the extension line of the other half-segment line (15), the N-segment angle (θ / N) At least one of the two-segment drawing steps of the other N-intersection line drawing step of drawing the other N-segment line (17), which is the other line segment defining the above, or the other half-angle line. A method for drawing N equal parts of an angle, which comprises any of the steps corresponding to the drawing step. The angle N equal division device used in the angle N equal division drawing method according to claim 1.
A bearing hole provided in a flat plate shape so as to form a flat surface (101) capable of drawing, and receiving the rotating shaft so that the rotating shaft can be inserted and rotated, is provided in the center line (12). On a line segment drawn on the plane (101) so as to correspond, an interval of 1 times the radius and N-1 times the radius from the point corresponding to the origin (0a) with respect to the radius of the reference circle (11). With a base (100) provided with at least two,
The said, which is provided in the shape of a long ruler and can be inserted into a first bearing hole (110) provided at a position corresponding to the center point (Ob) of the double radius, which is one of the bearing holes. A first rotating shaft (210), which is one of the rotating shafts, is provided, and the length from the first rotating shaft (210) to the edge (221) is 2 of the radius of the reference circle (11). A line segment having a length equivalent to twice that corresponding to the one dichotomy line (14) or the other bisection line (15) at least in a part leading to the edge (221). A first rotating ruler piece (200) having a straight ruler side (220) that matches at least one of them.
A rotating shaft provided in a long ruler shape and capable of being inserted into an Nth bearing hole (120) provided at a position corresponding to the Nth origin (On), which is one of the bearing holes. A second rotation axis (310) is provided, and at least a part of the first rotation ruler piece (200) in the vicinity of contact with the end edge (221) of the one N division line. (16) or a second rotating ruler piece (300) having a ruler straight line side (320) that matches at least one of the line segments corresponding to the other N-segment line (17). A corner N equalizer characterized by.

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