JPH0321993Y2 - - Google Patents

Description

[Detailed explanation of the invention] [Purpose of the invention] (Field of industrial use) This invention allows easy confirmation and learning of typical triangles and quadrilaterals, as well as easy confirmation and learning of similarities, area comparisons, etc. Regarding combination rulers.

(Prior Art) Conventionally, most rulers commonly sold at stationery stores and the like are a combination of two pieces, a right triangle and a right isosceles triangle.

(Problems that the invention aims to solve) <Problems with conventional technology> However, with only two rulers combined in this way, it is difficult to check angles of 30°, 45°, 60°, and 90°.
Alternatively, it is useful for drawing parallel lines and right angle lines, but it is also important for learning elementary geometry, such as confirming shapes such as equilateral triangles, parallelograms, and trapezoids, and understanding the concept of congruent similarity. could not be promoted.

On the other hand, if various shapes are cut out separately from a flat plate and sold, there is a waste of material during manufacturing, and the products may fall apart or get lost when stored, making it difficult to manufacture them. is the current situation.

However, in the study of geometry, that is, shapes, for elementary school students in the upper grades to middle grades, it is certain that understanding will become much faster by actually seeing and touching the shapes, so this type of easy-to-use and inexpensive It was hoped that a ruler would emerge.

<Technical Issues> Therefore, in view of the above-mentioned problems, this invention allows easy confirmation and learning of typical triangles and quadrilaterals, easy confirmation and learning of similarities and comparisons of areas, etc., and is easy to use. This was devised with the aim of making it easy to manufacture, eliminating waste of materials during manufacturing, and making it possible to provide it at low cost.

[Structure of the device] (Means for solving the problem) This device forms two identical rectangular plates with a long side to short side ratio of √3:1, and connects one rectangular plate to one diagonal. Cut the plate into two equal parts and divide it into two right triangular plates, and cut one of the two triangular plates along the diagonal of the other rectangular plate to form an isosceles triangular plate and an equilateral triangular plate. The triangular plate group formed by dividing into two and the other rectangular plate were cut along two parallel lines at an angle of 45° from one diagonal to each long side to form two large pieces. Divide into a right isosceles triangle plate and one parallelogram plate, and one of the two large right isosceles triangles,
It consists of a group of various shaped plates cut at appropriate positions along lines parallel to the base and divided into small right-angled isosceles triangular plates and isosceles trapezoidal plates, one of the rectangular plates having:
By attaching mesh lines at unit interval lines parallel to the two diagonals, and attaching mesh lines to the other rectangular plate at unit interval lines parallel and perpendicular to the 45° cutting line, This solves the above-mentioned problems.

(Function) The combination ruler according to this invention forms two identical rectangular plates with a long side to short side ratio of √3:1, and cuts one rectangular plate into two along one diagonal.
When divided into right triangular plates, these are congruent right triangular plates with internal angles of 30°, 60°, and 90°.

Then, one of these two triangular plates,
By cutting the rectangular plate along the other diagonal, it is divided into an isosceles triangular plate and an equilateral triangular plate each having a base angle of 30°.

On the other hand, cut the other rectangular plate along two parallel lines at an angle of 45° from one diagonal to each long side, and cut two large right-angled pieces with bases each at 45°. Divide into an equilateral triangular plate and one parallelogram plate tilted at 45°.

Furthermore, one of the two large right-angled isosceles triangles was cut at an appropriate position along a line parallel to the base, and each was made into an isosceles trapezoidal plate, as well as a small right-angled isosceles triangular plate with a base angle of 45°. be divided.

With each graphic board formed in this way, simple angle comparisons are made, and figure recognition and confirmation is performed by comparison with other figures.

Then, one of the rectangular plates is marked with mesh lines with unit interval lines parallel to the two diagonals, and the other rectangular plate is marked with unit interval lines parallel and perpendicular to the 45° cutting line. Attach mesh lines and calculate and compare areas etc. using the squares defined by the mesh lines at the angle of each graphic board.

(Embodiment) An embodiment of this invention will be described below with reference to the drawings.

The combination ruler according to this invention consists of a triangular plate group A and a multi-figure plate group B.

The triangular plate group A is formed by cutting one of two identical rectangular plates formed with a long side to short side ratio of √3:1.

In other words, one rectangular plate is 2 on one diagonal.
Cut into equal parts and divide into two right triangular plates 1.
Then, one of these two triangular plates 1 is
The rectangular plate is cut along the other diagonal line to form an isosceles triangular plate 2 and an equilateral triangular plate 3.

On the other hand, the multi-graphic board group B is formed by cutting the other of the rectangular boards.

That is, the other side of the rectangular plate is cut at an angle of 45° from the diagonals of the one side toward each long side.
The book is cut along parallel lines and divided into two large right-angled isosceles triangular plates 4 and one parallelogram plate 5.

Then, one of the two large right-angled isosceles triangles 4 is cut at an appropriate position along a line parallel to the base to form a small right-angled isosceles triangular plate 6 and an isosceles trapezoidal plate 7.

Moreover, in the triangular plate group A, at the stage of rectangular plates or after cutting, unit interval lines parallel to the two diagonal lines of the rectangular plates, for example, 10 mm intervals or the length of each side of the formed diamond squares, are added. Mesh lines 8 are provided at unit intervals of 10 mm in length.

When the multi-graphic board group B is a rectangular board, mesh lines 9 are provided at unit interval lines, for example, at intervals of 10 mm, parallel and perpendicular to the 45° cutting line.

Since the triangular plate group A and the multi-figure plate group B thus formed are cut from the same rectangular plate, they can be made into two rectangular plates by arranging them side by side. Therefore, when storing, for example, as shown in FIG. 2, by forming a rectangular recess in the double-page case 11 and fitting the recess into the rectangular recess, the recess can be easily stored in an organized state. In this case, although not shown, by further forming a recess into which a finger can be inserted outward from the recess, it is possible to make it easier to remove the triangular plate group A and the multi-figure plate group B. Furthermore, case 11
For example, by attaching magnetic plates 12 to the four corners of the case 11, the case 11 can be magnetically attached and kept closed by simply closing the case 11, so that the case 11 can be easily stored without being lost. Furthermore, even if two identical rectangular plates are formed, they all have different shapes, so they can be formed efficiently without waste.

Next, an example of use of the triangular board group A and the multi-figure board group B will be shown.

First, the triangular plate group A consists of a right triangular plate 1, an isosceles triangular plate 2, and an equilateral triangular plate 3, all of which are representative triangles. Therefore, by looking at these, we can confirm and recognize triangles, and each of these triangles has interior angles of 30°, 60°,
Since it consists of only 90° and 120°, it can be used for drawing and measuring angles, and if it becomes more advanced, it can also be used as a teaching material for measuring actual dimensions since it is also a typical angle of trigonometric functions.

The multi-figure board group B consists of a large right-angled isosceles triangle board 4, a parallelogram board 5, a small right-angled isosceles triangle board 6, and an isosceles trapezoid board 7, but unlike the triangular board group A, it does not contain figures other than triangles. is also included. Therefore, you can visually see how other shapes differ from the triangle, and you can also understand the concept of similarity by comparing the large right-angled isosceles triangle plate 4 and the small right-angled isosceles triangle plate 6. This can be visually confirmed, and the concept of congruence can be easily understood by lining up the small right-angled isosceles triangle plate 6 and the isosceles trapezoidal plate 7 and comparing them with the large right-angled isosceles triangle plate 4.

Moreover, in the triangular plate group A and the multi-shaped plate group B,
Since the mesh lines 8 and 9 are attached to each, the area can be calculated and compared by counting the squares, especially when comparing areas when they are similar, when comparing areas when being congruent, and adding areas by combining. It is now possible to easily perform calculation comparisons that were impossible with conventional rulers.

If the triangular plate group A and the multi-figure plate group B are all made of transparent plates, they can be easily compared with figures written on paper, etc., and can be used for various geometrical purposes such as calculating and comparing areas and measuring angles. This will expand the scope of its use as a teaching material for understanding basic knowledge.

[Effects of the invention] This invention constructed as described above forms two identical rectangular plates with a long side to short side ratio of √3:1, and then cuts them to form triangles and other quadrilaterals. If these are rearranged, they become two rectangular plates, which can be stored in the case 11 or the like without being lost.

Then, one of the two rectangular plates is cut into two equal parts along one diagonal line, dividing it into two right triangular plates 1, and one of the two triangular plates 1 is cut into two equal parts. , cut the rectangular plate along the other diagonal line to obtain an isosceles triangular plate 2 and an equilateral triangular plate 3.
By forming the triangular plate group A, which is divided into two parts, three representative types of triangles can be formed without wasting material, and the fact that there are these representative triangles means that Because it can be visually recognized, it is an excellent teaching material for elementary learning of geometry. Also, the internal angles are 30°, 60°,
90° and 120° are commonly used angles, so they are very convenient when drawing.

Furthermore, by cutting the other rectangular plate along two parallel lines at an angle of 45° from one diagonal to the long side, two large right-angled isosceles triangular plates 4 and 1 are obtained. At the same time, one of the two large right isosceles triangles 4 is cut at an appropriate position along a line parallel to the base to form a small right isosceles triangle plate 6 and an isosceles trapezoid. Since the multi-figure board group B was formed by dividing into board 7, triangles and
Since it can be compared with typical quadrilaterals such as parallelograms and isosceles trapezoids, it is possible to easily recognize and confirm figures.

Since the large right-angled isosceles triangular plate 4 and the small right-angled isosceles triangular plate 6 are similar, the concept can be visually confirmed, and the small right-angled isosceles triangular plate 6 and the isosceles trapezoidal plate 7 are rearranged. If we make the original right triangle,
Since it is congruent with the great right-angled isosceles triangular plate 4, its concept can be easily understood. Furthermore, in addition to the aforementioned 30°, 60°, 90°, and 120°, there are also 45°, which is very convenient for drawing.

Moreover, mesh lines 8 are attached to one of the rectangular plates at unit spacing lines parallel to the two diagonals, and mesh lines 8 are attached to the other rectangular plate at unit spacing lines parallel to and perpendicular to the 45° cutting line. By adding mesh lines 9 with lines, it is easy to calculate and compare areas by counting the squares of mesh lines 8 and 9, which is very convenient for studying the basics of geometry. It can be the best teaching material.

As described above, according to this invention, typical triangles and quadrilaterals can be easily confirmed and learned, similar congruences, area comparisons, etc. can be easily confirmed and learned. Since it can be provided at a low cost without wasting time, it has practical effects such as playing a major role as a teaching material for elementary learning of geometry.

[Brief explanation of the drawing]

The drawing shows one embodiment of this invention.
The figure is a perspective view, and FIG. 2 is a perspective view when stored in a case. A...triangular plate group, B...multi-species plate group, 1...
...Right triangular plate, 2... Isosceles triangular plate, 3...
Equilateral triangular plate, 4... Great right angle isosceles triangular plate, 5...
...parallelogram plate, 6...small right-angled isosceles triangular plate,
7...Isosceles trapezoid plate, 8...Mesh line, 9...Mesh line, 11...Case, 12...Magnetic plate.

Claims (1)

[Scope of Claim for Utility Model Registration] 1. Two identical rectangular plates with a long side to short side ratio of √3:1 are formed, one rectangular plate is cut into two along one diagonal, and the two pieces are A triangular plate group formed by dividing into right-angled triangular plates and cutting one of the two triangular plates along the diagonal of the other rectangular plate to divide it into an isosceles triangular plate and an equilateral triangular plate. , cut the other rectangular plate along two parallel lines at an angle of 45° from one diagonal to each long side to form two large right-angled isosceles triangular plates and one parallel line. At the same time, one of the two large right-angled isosceles triangles is cut at an appropriate position along a line parallel to the base, and divided into a small right-angled isosceles triangular plate and an isosceles trapezoidal plate. One of the rectangular plates has mesh lines at unit intervals parallel to the two diagonal lines, and the other rectangular plate has the 45° cuts. A combination ruler characterized in that mesh lines are attached with unit interval lines that are parallel and perpendicular to the lines. 2. The combination ruler according to claim 1 of the utility model registration claim, in which each rectangular plate is formed of a transparent plate.