CN102198774A

CN102198774A - I-shaped (angle-dividing) ruler

Info

Publication number: CN102198774A
Application number: CN2010101290925A
Authority: CN
Inventors: 张仕海
Original assignee: Individual
Current assignee: Individual
Priority date: 2010-03-22
Filing date: 2010-03-22
Publication date: 2011-09-28
Anticipated expiration: 2030-03-22
Also published as: CN102198774B

Abstract

An I-shaped (angle-dividing) ruler integrates a rectilinear ruler, a right-angled triangular ruler, a symmetrical equalizing ruler and an angle-dividing ruler, has the functions of the rectilinear ruler, the right-angled triangular ruler, the symmetrical equalizing ruler and the angle-dividing ruler and has the characteristics of convenience for use, attractive appearance, low cost and the like. During angle division, a crossed-shaped angle-dividing ruler consists of two symmetrical points on two symmetrical lines parallel to an angular bisector and a symmetrical axis (an angle-dividing line); the angle-dividing ruler divides the angle twice on the two outer sides of the symmetrical lines; the two symmetrical points in the angle-dividing ruler are guided to an angular vertex by the symmetrical axis which is positioned and slides on the angular vertex; and when the two symmetrical points are positioned on one side edge and an adjacent symmetrical line at the same time, an angle-dividing point is obtained. By the method, an angle-dividing ruler 1, 3, 5, 7, 9 and 11 which is 3cm long and an angle-dividing ruler 2, 4, 6, 8, 10 and 12 which is 1cm long are designed, and the two angle-dividing rulers are parallel to form the I-shaped (angle-dividing) ruler which can divide an arbitrary angle into arbitrary equal parts.

Description

" worker " font (subangle) chi

Technical field: drawing advanced tools.

Background technology: in drawing appliance, it is dull that ruler seems, right angle triangle lacks perfection when drawing the right angle.In drawing various figures, usually need to draw some symmetric graphs, and at present the instrument of gage such as appendix symmetry is seldom in these drawing instruments, mainly be, also any angle is not divided at present the instrument of any equal portions, all be that utilization hornwork and division calculation are come subangle, owing to be subjected to the restriction of protractor radius and the restriction of remainder, subangle not only bothers but also inaccurate like this.Bringing inconvenience to drawing, design and produce a kind of multi-functional drawing appliance, is scholars and scientific worker's an urgent demand.

Summary of the invention: many in line with function simple, convenient, that possess, the scientific degree height, the use field is wide, attractive in appearance and principle that cost is low.The advantage of gages such as the advantage of collection ruler, symmetry, the advantage of right angle triangle, the branch angle square of appendix elder generation and then science is the drawing instrument of one, be the design's target, below at generation of the present invention, its architectural feature, specification, the specific embodiment be progressively explanation further.

The present invention results from the applicating geometric method any angle is divided in the principle of three equal parts, utilizes two line of symmetries that are parallel to angular bisector; Two symmetric points on the line of symmetry and symmetry axis (angular bisector) are formed " ten " font structure, and this structure general designation is divided angle square; Divide angle square to carry out subangle successively in two outsides of two line of symmetries, two symmetric points are guided the summit at angle into by being positioned at the symmetry axis that slides on the angular vertex, drop on the pin limit and on the contiguous line of symmetry time when two symmetric points are simultaneously corresponding, produce and divide angle point, the both sides subangle produces two branch angle points.These 2 the summit lines with the angle can become three equal parts to any angle bisection, in above-mentioned subangle process, and angular bisector, two line of symmetries divide angle square, and the three is when subangle, and is indispensable, and " worker " font (subangle) chi is the accurate location and designing of three for this reason.For convenience of the needs of mapping, the spy stipulates out the branch angle square of two length, and one long is the branch angle square of 3cm, come to divide angle with it greater than 40 °, one long is the branch angle square of 1cm, come to divide angle less than 40 ° with it, and two branch angle squares are combined into " worker " font (subangle) chi.

Description of drawings:

Fig. 1, Fig. 2 are respectively the architectural feature of length for the branch angle square of the branch angle square of 3cm and the long 1cm of being.

Fig. 3 is two architectural features that the branch angle square is integrated.

In Fig. 1, Fig. 2, Fig. 3, the represented parts of identical number are identical.

Divide angle square

1 and 2 to line up a horizontal line, dividing

angle point

5 and 6 is their inboard end points.And be that two branch angle points are provided with " mouth " frame hole 13.Above-mentioned part is called branch angle square

A.Symmetry axis

3 and 4 is arranged in parallel and does the edge of ruler post B.7 and 8 is respectively 3 and 4 the false axis of symmetry.In 7 and 8 bottoms, on the ruler seat C, relative set the symmetrical gage 9 and 10 that waits: be 10 centre joint frame 16 to be set.On

symmetry axis

3 and 4, be respectively

branch angle square

1 and 2 symmetrical isocenter 11 and 12 are set.

Fig. 4 is 3,4,14,15,17 chi edge schematic cross section.

Specification: this chi height overall is 25.5cm, and dividing angle square A is 5cm * 1.5cm, and a is long to be 1.5cm, and b is long to be 0.5cm." mouth " frame hole 13 is 1.2cm * 0.5cm; Frame base 14 is lower than

branch angle square

1 and 2 and is 0.04cm; The right and left 15

minute angle point

5 and 6 of respectively comforting oneself out is 0.1cm.Ruler post B is that 20cm * 3cm does the chi edge with

symmetry axis

3 and 4, and wide is 3cm.The false axis of symmetry 7 is center lines of ruler post.It intersects at branch angle point 5 with base, " mouth " frame hole 14.The false axis of symmetry 8 is 0.5cm with symmetry axis 4 parallel distances; It intersects at branch angle point 6 with base, " mouth " frame hole 14.Article two, parallel distance is 1cm between the false axis of symmetry 7 and 8.Ruler seat C is 16cm * 4cm, and the seam of centre joint frame 16 is wide to be 0.2cm, and it is positioned at the center of ruler seat, and vertically being divided equally by the false axis of symmetry 8 is two.

Chi edge

3,4,14,17 thick e are 0.1c m as shown in Figure 4; Inclined-plane wide 18 is 0.5cm.

The specific embodiment: an any angle is being divided in the subangle process of three equal parts, one, when utilizing long branch angle square to divide angle greater than 40 degree for 3cm, gages such as symmetry 9 are that the false axis of symmetry 7 accurately drops on this angular bisector and locatees.The false axis of symmetry 7 is made two line of symmetry location that are parallel to angular bisector for symmetry axis 3 and 4.Because the parallel distance between the

symmetry axis

3 and 4 is 3cm.Distance between the line of symmetry of being done is 3cm.This coincide for 3cm divides the appearance of angle square with long.Divide angle square when two line of symmetries outside subangles, symmetry axis 3 is positioned on the summit at angle and slides, and the two-end-point in the branch angle square is guided into the summit at angle.Drop on the arm of angle and on the contiguous line of symmetry time, produce and divide angle point when two-end-point is simultaneously corresponding.When two, utilizing 1cm to divide angle square to divide less than 40 ° angle, gages such as symmetry 10 are located for the false axis of symmetry 8 accurately drops on this angular bisector.The false axis of symmetry 8 is made the parallel lines location that is parallel to angular bisector for symmetry axis 4.According to the parallel distance between the true and false symmetry axis is 0.5cm, the position that can utilize the size under the centre joint frame to make another parallel lines, distance is 1cm between two line of symmetries having done, coincide for 1cm divides the appearance of angle square with long, utilize then and divide angle square to carry out subangle in line of symmetry two outsides ...Three, all come from two line of symmetries according to two branch angle points, 2 line vertical symmetrical line, and vertical range equals the length of branch angle square.This rule and the design's symmetrical isocenter 11 or 12 and the ruler seat C edge suitable for reading 19 vertical ranges appearance that equals corresponding minute angle square coincide mutually, thus when subangle, only need to do a line of symmetry, find out a branch angle point, just can utilize symmetrical isocenter and chi edge 19 to determine another minute angle point.

The design's practicality is the living space of design and manufacturing, has made 4 pages of the design's application specifications for this reason.Further set forth the design any angle has been divided into 3 equal portions, 6 equal portions, 7 equal portions, 9 equal portions, angle of circumference has been divided into the method for any equal portions, reference is provided.

Figure of abstract: represented ruler, the whole style of gages such as symmetry, square, branch angle square.

Make raw material: utilize the lucite manufacturing of transparent, on-deformable, thickness for 0.25cm.

It is red requiring 7 and 9 mint-marks, and 8 and 10 mint-marks are yellow, and it is black that ruler post B and ruler seat C go up mint-mark, and mint-mark is in the bottom surface.

Drawing scale is 1: 1, the cm of unit.

Claims

1. " worker " font (subangle) chi is gages such as collection ruler, right angle trigonometry board foot, symmetry, and the branch angle square is an one, has their due separately functions.

2. any angle being divided into how much minutes horn cuppings of three equal parts, is the design's theoretical foundation: utilize two line of symmetries that are parallel to angular bisector; Two symmetric points on the line of symmetry and symmetry axis (angular bisector) are formed " ten " font (subangle) chi, utilize and divide angle square to carry out subangle twice in two outsides of two line of symmetries, divide two symmetric points in the angle square to guide the summit at angle into by being positioned at the symmetry axis that slides on the angular vertex, drop on the pin limit and on the contiguous line of symmetry time when two symmetric points are simultaneously corresponding, produce and divide angle point, two branch angle points all come from the line of symmetry.The summit line at they and angle can become three equal parts to any angle bisection.

3. according to the method for above-mentioned 2 how much subangles, find out angular bisector; Make two line of symmetries that are parallel to angular bisector, make and divide angle square these 3 requirements, the spy designs that 1,3,5,7,9,11 and one on a long branch angle square for 3cm is long be the branch angle square 2,4,6,8,10,12 of 1cm, and the two is composition " worker " font (subangle) chi side by side.It is characterized in that: divide angle square 1 and 2 to line up a horizontal line, dividing angle point 5 and 6 is their inboard end points.And be that two branch angle points are provided with " mouth " frame hole 13.Above-mentioned part is called branch angle square A.Symmetry axis 3 and 4 is arranged in parallel and does the edge of ruler post B.7 and 8 is respectively 3 and 4 the false axis of symmetry.In 7 and 8 bottoms, on the ruler seat C, relative set the symmetrical gage 9 and 10 that waits; Be 10 centre joint frame 16 to be set.On symmetry axis 3 and 4, be respectively branch angle square 1 and 2 symmetrical isocenter 11 and 12 are set.