JPS5916235Y2 - Angle equal division ruler - Google Patents

Description

[Detailed explanation of the idea] The present invention relates to a ruler that divides angles into equal parts.

Generally, it is not easy to divide an arbitrary angle into odd numbers.

The purpose of the present invention is to provide a ruler that can divide any angle into equal parts with a simple structure and easy handling. , by sliding the hanging side of the T ruler into contact with the fixed point of a straight line ruler placed on one side of the angle to be divided,
The purpose is to adjust and move movable points provided at equal positions on both sides of the T ruler to form equal dividing points within the angle to be divided by both rotation points.

Embodiments of the present invention will be described below with reference to the drawings.

As shown in FIGS. 1 and 2, the present invention each consists of at least one straight ruler 1 and one T-square 2, and the straight ruler 1 has a fixed point 1a at one end thereof, and the fixed point A linear guide 1b is provided on the longitudinal extension of 1a.

On the other hand, the T ruler 2 has a linear guide 2d on the longitudinal extension of the center of the hanging side 2a, and a fixed point 2e at the intersection 2C of the hanging side 2a and the top side 2b on the outside of the guide 2d. .

In addition, movable points 2 f and 2 g are located at equal distances on both sides of the intersection 2 C of the top side 2 b of the T ruler 2.
have each.

The guide 1b of the straight ruler 1 is slidable in a manner that ensures relative movement to the fixed point 2e and at least one movable point 2f or 2g of the T-square 2, and the guide 2d of the T-square 2 is a straight-line ruler. It can freely slide into contact with the fixed point 1a of 1 while ensuring relative movement.

Note that both rulers 1 and 2 are preferably integrally molded from synthetic resin or the like.

Further, as shown in the figure, the guides 1b and 2d are preferably formed as elongated grooves, and the fixed points 1a and 2e and one of the movable points 2f are preferably formed as protrusions that can be slidably and rotatably fitted into the grooves.

Of course, the relationship between the guide and the fixed point and movable point may be other combinations, such as elongated holes and protrusions, elongated protrusions and rotatable recesses, etc., as long as the movable sliding contact state is ensured.

Furthermore, if the protrusions on the T ruler 2 are provided on both sides facing each other, they will be symmetrical, making handling convenient.

A method of using the ruler of the present invention having the above configuration, that is, a method of equally dividing an arbitrary angle using the ruler of the present invention will be explained using an example of dividing into three equal parts.

(1) Angle ZPQR to be divided into equal parts as shown in Figure 3
Draw a parallel line A with distance h inside one side QR.

That is, the fixed point 1a of the linear ruler 1 is placed on the vertex Q of the angle, and the guide 1b is placed on one side QR, and then the fixed point 1a is placed on the guide 2d of the T ruler 2, and the fixed point 2e of the T ruler 2 is placed on the guide 2d of the T ruler 2.
are brought into sliding contact with the guides 1b of the linear ruler 1, and while sliding the T ruler 2 in one direction according to the guidance of both guides 2d and 1b, draw a parallel line A using the movable point 2g.

At this time, in order to ensure that the linear ruler 1 is fixed on one side QR, it is preferable to provide a fixing means such as a magnet or a small needle on the lower surface of the ruler 1.

Further, in order to facilitate the drawing of the parallel line A, it is preferable to attach a drawing means such as a pencil, chalk, or a scribing needle to the movable point 2g so that it can be freely attached.

(2) As shown in Fig. 4A, the fixed point 1a of the linear ruler 1 is placed on the vertex Q of the angle, and the guide 1b is placed on one side QP.
Then, the fixed point 1a is placed on the guide 2d of the T ruler 2, and the movable point 2f of the T ruler 2 is placed on the guide 1 of the straight ruler 1.
b, and while in constant contact, slide the T ruler 2 along the guides of the guides 2d and 1b, the fixed point 1a, and the movable point 2f, and move the other movable point 2g parallel to the line drawn in (1) above. Position the T ruler 2 by aligning it with a point B on line A.

In that state, position C of intersection 2C of T ruler 2 is calculated by angle ZPQ
Depict within R.

Thus, assuming that the position of the movable point of the T-square 2 is point F, ZFQC, ZCQB, and ZBQR are angles obtained by equally dividing an arbitrary angle ZPQR into thirds, as shown in FIG. 4B.

Now, to prove this, △FQC and △CQB are right triangles, the short sides are long, they are equal at h, and the long sides are common, so they are congruent, as is clear from the construction of Figure 4A. , Therefore, ZFQC=ZCQB.

Also, if the intersection point between point B on parallel line A and the perpendicular line drawn on one side QR is D, then △BQD is a right triangle, and short side B
D is h equal to the width of parallel line A, and the oblique side BQ is △
Although it is common to BQC, △BQD is congruent with △BQC.

Therefore, ZCQB=ZBQD, and ZCQB=ZB
QD=ZFQC.

Note that the two halves of the angle ZPQR are first drawn in the same manner as the parallel line A in FIG. 3, and are parallel to one side QR forming ZPQR and have a gap between them, as shown in FIG. A parallel line A1 is drawn within ZPQR.

Next, a parallel line A2 that is parallel to the other side QP and has a distance from the other side QP is connected to ZP by the movable point 2g of the T ruler 2.
Draw within QR and draw each parallel line A1. If the intersection of A2 is B, then ZPQR is equal to ZPQB and ZBQR, which means that ZPQR is divided into two equal parts by a straight line connecting intersection B and Q.

To draw the parallel line A2 in the above, first, the fixed point 1a is drawn to the point Q.
The straight line ruler 1 is placed concentrically on one side QP so that it is placed on the top, and then the fixed point 1a and the movable point 2e of the T ruler 2 are fitted with the guides 1b and 2d of the other ruler. By sliding this sliding contact part in a straight line, T
This is done by drawing a parallel line A2 in the ZPQR at the movable point 2g of the ruler 2.

Next, dividing into 5 equal parts and dividing into 7 equal parts using an appropriate number of straight rulers and T rulers will be briefly explained with reference to FIGS. 6 and 7.

To divide ZPQR into 5 equal parts, as shown in Figure 6, draw an inner parallel line A with a distance from QR along one side QR using the method described above in Figure 3, and draw on this parallel line A. The movable point 2f of the T ruler 2 is placed on the guide 1b of the placed straight ruler 1, and the same T is placed on the fixed point 1a of the other straight line ruler 1 placed on the point Q.
By sliding the ruler guide 2d on each side and moving the T ruler 2, both sliding contact points are slid and an arc-shaped trajectory C of the movable point 2g is created.
1.

Next, the movable point 2f and guide 2d of the T ruler 2 are fitted and slid into contact with the guide 1b of the linear ruler 1 placed along the straight line PQ and the fixed point 1a of the other linear ruler 1 placed on the point Q, respectively. , by moving the T ruler 2, each sliding contact point is made to slide, and an arcuate trajectory C2 of the movable point 2g of the T ruler 2 in ZPQR is drawn, and the intersection point B with the trajectory C1 is drawn.
1, and at the same time find the intersection point 2C between this time and the T ruler.

At this time, when the movable point 2g of the T ruler 2 is placed on the intersection B1 and the guide 2d is fitted to the fixed point 1a on the point Q, the other movable point 2f of the T ruler is located on the parallel line A, so this point is determined as B2, and the intersection point 2C of this T ruler 2 is determined.

Next, each point B1. shown in FIG. If you connect the intersection points 2C and 2C of the T ruler of B2 and each state with the point Q with a straight line, you will get ZP.
QR is divided into five equal parts, with the corresponding apex angles of five mutually congruent right triangles being adjacent to each other.

When dividing into 7 equal parts, as shown in Figure 7, three T
Connect the rulers at their movable points, and slide the movable points of the T rulers at both ends into sliding contact with the guides of the linear rulers on side PQ and parallel line A, and at the same time slide the guides of each T ruler into fixed points on vertex Q. As a result, seven mutually congruent right triangles are formed, and their apex angles form septate angles.

Hereinafter, division into odd numbers can be achieved by appropriately increasing and adjusting the number of T rulers, and division into corners can be achieved by appropriately dividing the division into odd numbers into two.

In order to facilitate rotatable connection at the movable points of the T ruler, it is preferable to provide connection means such as concave and convex portions that rotatably fit into each movable point.

As explained above, according to the ruler of the present invention, it is easily possible to divide the ruler into odd numbers at any angle, and as shown in Fig. 5, it is also possible to divide the ruler into two equal parts. Multi-equal division is possible.

Moreover, it has a simple structure and is suitable for mass production, so it can be provided to the market at low cost.

Further, as shown in the drawings of the embodiment, the process of dividing into equal parts can be observed, so it is suitable as a learning material for geometry.

Of course, it can also be used to equally divide design angles in industrial applications.

[Brief explanation of the drawing]

The drawings show an example of the implementation of the present invention, and FIGS. 1A and B are a plan view and a vertical sectional view of a straight ruler, FIGS. 2A and B are a plan view and a XX sectional view of a T ruler, and FIGS. Figures 3 and 4 A and B are explanatory diagrams showing the drawing process as an example of how the ruler of the present invention is used, and Figures 5, 6, and 7 are divided into two equal parts, five equal parts, and seven equal parts. It is each explanatory diagram which shows each. In the above figure, each symbol indicates the following. 1: Straight ruler, 1a: Fixed point, 1b Ni guide, 2: T ruler, 2a: Drooping edge, 2b: Vertex, 2C: Intersection, 2d Ni guide, 2e: Fixed point, 2 f, 2 g: Movable point.

Claims (1)

[Scope of utility model registration request] Each of the straight rulers 1 is composed of at least one straight ruler 1 and a T ruler 2 having a hanging side 2a and a top side 2b.The straight ruler 1 has a fixed point 1a at one end and a linear guide 1b on the longitudinal extension of the fixed point 1a , and the T ruler 2 has a hanging side 2a.
A linear guide 2d is provided on the central longitudinal extension line, and a fixed point 2e is located at the intersection 2C of the hanging side 2a and the top side 2b on the outside of the guide 2d, and the intersection 2C of the top side 2b is sandwiched between them. The linear ruler 1 has movable points 2 f and 2 g at equal distances from each other on both sides, respectively.
The guide 1b of the T-square 2 is secured to move relative to the fixed point 2e and at least one movable point 2f or 2g, and the guide 2d of the T-square 2 is fixed relative to the fixed point 1a of the straight ruler 1. A ruler that divides the angle into equal parts.