CN2815631Y

CN2815631Y - Tool for arbitrarily dividing arbitrary angles

Info

Publication number: CN2815631Y
Application number: CN 200420104681
Authority: CN
Inventors: 董礼
Original assignee: Individual
Current assignee: Individual
Priority date: 2004-12-11
Filing date: 2004-12-11
Publication date: 2006-09-13
Anticipated expiration: 2014-12-11

Abstract

The utility model relates to the technology of a tool for arbitrarily dividing an arbitrary angle. The inner arc ANA' of an angle is downloaded via utilizing a paper strip which is glued at the edge of a circular arc and is flattened to obtain a line segment ANA', the line segment which is equally divided by a set square is glued on the original circular arc, and the equally dividing point of an angle AOA' can be drawn when a pen just faces the middle point of the inner arc ANA'. The utility model is composed of a column (1) (the circumferential side of the column is equally divided into 360 scales), the paper strip (2), the set square (3) and a circular and soft rubber tube. The tool has the advantages of simple structure and use process. The utility model is suitable for the exactly equal division of an angle and a circular arc in teaching and in any other aspects. The utility model can replace a protractor and is easy to learn.

Description

The instrument of any dividing any angle

Affiliated technical field:

The utility model relates to a kind of instrument that is used for any dividing any angle or circular arc.

Background technology:

At present, the apparatus structure complexity of known any dividing any angle or circular arc, error is bigger, is difficult for being accepted by the people.

Summary of the invention:

The purpose of this utility model provides a kind of simple and accurate ground instrument of dividing any angle arbitrarily.

The five equilibrium instrument profile of No. 941054802 patents is bigger, and complex structure is not easy to operate, and is not portable yet, and each structure of whole device has error aborning unavoidably, on the other hand arc section is converted into straight line and is difficult to accurate grasp in practical operation.

No. 012260746 patent is being carried out timesharing such as big quantity to angle or circular arc, also corresponding the increasing of radical of the five equilibrium angle square that needs added the guide wheel, the hinge that increase, the complex structure of whole device, easy to operate and carry, each structure of whole device does not have error aborning unavoidably yet.

The utility model has just solved these difficult problems.

In order to solve this technical problem, the technical scheme that is adopted is: this instrument is utilizationization Qu Weizhi, former stateization directly is bent principle again, and has utilized any five equilibrium principle of line segment.This instrument adopts cylinder transparent, standard, the thin paper bar of good elastic ring flexible rubber hose and no telescopic resilience, and the single raise set square is formed in addition.

The circular arc limit of standard cylinder has 1-3cm thick, and circumferential edge is divided into 360 scales in equal size, and the center of circle O of standard will be arranged on the cylinder bottom surface, and cylinder bottom surface radius is 3-5cm, and cylinder is transparent; Annular sebific duct sidewall has the 0.5cm-1cm height, side thickness 1mm, and the girth of sebific duct lacks 2-4cm than the girth of cylinder bottom surface, the sebific duct good springiness; Paper slip is non-wrinkle, no telescopic resilience, and the paper slip lower limb is neat, the wide 1-3cm of paper slip, thick 0.05-0.5mm, thickness is even, and angle is big, and with long paper slip, angle is little, and with short paper slip, paper slip is no longer than 1.5 times of the cylinder girth.

The center of circle of cylinder bottom surface of the summit at angle with the band paper slip overlapped, utilize the circular arc paper slip lower limb on this cylinder and the crosspoint A and the A ' point on both sides, angle, on paper slip, find

To be with again

Paper slip take off flattening, obtain line segment ANA ', and utilize set square line segment ANA ' to be divided into several parts that need, be fixed on this paper slip on the circular arc limit of this cylinder with flexible rubber hose again then, then allow the summit at this angle overlap with this cylinder center of circle, A and A ' overlaps with the both sides at this angle, at last on the paper slip

Middle Along ent faces and is marked on one by one in the ∠ AOA ', promptly gets the Along ent of ∠ AOA '.

Because from start to finish, Length do not become; Former state is fitted on the original cylinder circular arc limit again, certainly Camber also become---promptly this arc radius does not become, so front and back occur

It is same circular arc.Again because the length of line segment ANA ' with

Arc length long equally, Along ent position does not on line become, after line segment ANA ' pasted go back to the circular arc limit of former cylinder, the little line segment of five equilibrium also only all was the same as straight changes song, and the length of the promptly former little line segment that is divided into still is the same long with arc length after they become the roundlet arc entirely.So,

Middle point is exactly

Along ent, the Along ent of ∠ AOA ' just.

The beneficial effect of the utility model technology is, the structure of instrument and use are all very simple, and the accurate five equilibrium of angle, circular arc applicable to teaching and other any aspect also can replace protractor, easily learns, uses.

Description of drawings (any one jiao is example with five five equilibriums):

Fig. 1 and Fig. 2 are both on paper slip and look for

That is to say the angle inner arc of ∠ AOA ', two arcs are real to be the same circular arc that overlaps fully.Fig. 1 is the along continuous straight runs figure of side-looking cylinder nearby, and Fig. 2 is a plane of vertically overlooking cylinder.

Fig. 3 is the figure with branch line segment ANA ' such as set squares.A ₁, A ₂, A ₃, A ₄These 4 is exactly five Along ents of line segment ANA '.

Fig. 4 and Fig. 5 are both the point that faces the paper slip edge, mark the schematic diagram of the Along ent of ∠ AOA ' one by one.Fig. 4 is the along continuous straight runs figure of side-looking cylinder nearby, and Fig. 5 is a plane of vertically overlooking cylinder.

(1) cylinder among the figure (the circular arc limit has 360 evenly divideds); (2) thin paper bar (light dash area); (3) set square; (4) annular flexible rubber hose (dark-shaded part).

The specific embodiment:

1, the thin paper bar with non-wrinkle no telescopic resilience is fixed on the circular arc limit of cylinder with annular flexible rubber hose, allows the paper slip circular arc limit of fitting everywhere, and the lower limb of paper slip aligns with the lower limb of cylinder, (be enclosed within the outer sebific duct of paper slip and can not hide the paper slip lower limb).

2, will be placed on the cylinder of paper slip by on the angle of five equilibrium, the center of circle overlaps with angular vertex again, respectively draws A, A ' with pen at 1 on the limit at angle and two infalls of paper slip.

3, again paper slip is taken off flattening, with set square on the paper slip 2 connect into a line segment; Use the principle of any five equilibrium line segment of two set squares again, the line segment on the paper slip is divided into several sections that need.

4, then this paper slip is fixed on the circular arc limit of former cylinder with annular flexible rubber hose once more.(allow the paper slip circular arc limit of fitting equally everywhere, the original lower limb of paper slip aligns with the lower limb of cylinder.)

5 and will be placed on the cylinder of paper slip by on the angle of five equilibrium, note allowing the center of circle overlap with angular vertex, A and A ' overlaps with the both sides, angle respectively; With the Along ent of pen between A, A ', in needing the angle of five equilibrium, draw one by one a little, at last these points and angular vertex in the angle are coupled together, just this angle has been divided into several parts of needs.

6, for circular arc or angle greater than 360 degree, also available this instrument five equilibrium.

Because the utility model sub-multiple angle is actual is exactly the five equilibrium circular arc, thus following be example with any five equilibrium greater than 360 ° ∠ α:

(1) if belongs to the angle of only knowing the number of degrees, loseing figure greater than 360 ° ∠ α, to carry out the X five equilibrium to ∠ α, can utilize the merchant earlier is that the division of integer calculates that to have Y whole 360 ° in the ∠ α (be Y whole circle, Y is the natural number merchant), how many non-zero angle of observing also surplus not enough 360 ° (they being not enough one whole circle) is is spent; Then a whole circle is carried out the X five equilibrium, with cylinder in the utility model and set square remaining not enough 360 ° non-zero angle is drawn again, and it is carried out the X five equilibrium; A copy of it length of getting in Y double-length of a copy of it of getting in the whole circle and the not enough 360 ° non-zero angle is added up, the portion that promptly gets behind the branch ∠ α such as X is long again.

(2) if belong to the angle of the unknown number of degrees greater than 360 ° ∠ α, but know that a ray is that the center of circle is when making circular motion coiled ∠ α with own end points, this ray from which point begin around, terminal point where, (through informing or counting) can be understood altogether around the whole circle of Y (Y is known natural number, is not unknown number).In this case ∠ α is carried out timesharing such as X, can press the ray direction of rotation earlier from the off, the non-zero angle of the one whole circle of the less than between starting point and the terminal point is found; Then a whole circle is carried out the X five equilibrium, the non-zero angle of less than one whole circle is carried out the X five equilibrium; A copy of it length of getting in the non-zero angle of Y double-length of a copy of it of getting in the whole circle and less than one whole circle is added up, the portion that promptly gets behind the branch ∠ α such as X is long again.

(3) if just be 360 ° Y integral multiple (or the whole circle of Y) greater than 360 ° ∠ α, so only need carry out the X five equilibrium to a whole circle, get the Y double-length of a copy of it of getting in the whole circle again, the portion that promptly gets behind the branch ∠ α such as X is long.

Claims

1, the instrument of any dividing any angle of a kind of energy, its feature is: it is to be made of a standard cylinder, a piece of paper bar, one section annular sebific duct and a secondary standard set square, and they respectively are monomer; Cylinder, set square are made by very hard wear-resisting, folding, the anti-plastic cement that falls, and sebific duct is made by the flexible glue that strong stretching elasticity is arranged; Cylindrical outer surface is smooth, and cylinder circular cross section everywhere is big equally, and it is parallel to each other to go up bottom surface, and the side is vertical with the bottom surface, and the limit of set square must be straight.

2, the instrument of any dividing any angle according to claim 1, it is characterized in that: the circular arc limit of standard cylinder has 1-3cm thick, and circumferential edge is divided into 360 scales in equal size, and the center of circle O of standard will be arranged on the cylinder bottom surface, the radius of cylinder bottom surface is 3-5cm, and cylinder is transparent.

3, the instrument of any dividing any angle according to claim 1 is characterized in that: annular sebific duct sidewall has the 0.5cm-1cm height, side thickness 1mm, and the girth of sebific duct lacks 2-4cm than the girth of cylinder bottom surface, the sebific duct good springiness.

4, the instrument of any dividing any angle according to claim 1, it is characterized in that: paper slip is non-wrinkle, no telescopic resilience, the paper slip lower limb is neat, the wide 1-3cm of paper slip, thick 0.05-0.5mm, thickness is even, paper slip length is decided according to the size of angle, angle is big, and with long paper slip, angle is little, with short paper slip, paper slip is no longer than 1.5 times of the cylinder girth.