CN2144589Y - Multipurpose geometry slide rule - Google Patents

Abstract

The utility model discloses a multipurpose geometry slide rule, which comprises a base board protractor (1), a centre circle rotating ruler (2) and a moveable rotating ruler (3); a shuttle groove (4) is arranged at the center of the centre circle rotating ruler (2) which is fixed with the base board protractor (1) through a center shaft (5); one end of the moveable rotating ruler (3) is fixed with a sliding shaft (6) which can be sheathed in the shuttle groove (4). The utility model is a multipurpose geometry slide rule, which collects the functions of the geometric tool, such as a protractor, a straightedge, a compasses, etc. in one, and which can carry out trigonometric function calculation, part of analytic geometry calculation, etc.

Description

Multipurpose geometry slide rule

The utility model relates to a kind of multipurpose geometric slide ruler.

The existing geometric chi is discrete as protractor, ruler, compasses, set square etc., is respectively applied for different application targets, and the user need get all the various how much apparatus ready, and it is not too convenient to use under various application scenarios, to use, carry.

The purpose of this utility model provides a kind of function that integrates how much instruments such as protractor, ruler, compasses, carries out trigonometric function to find the solution, and the multipurpose geometric slide ruler of part analytic geometry computing etc.

Compare with existing dimensioning, advantage of the present utility model and characteristics are: 1. it integrates the function of how much instruments such as protractor, ruler, compasses; 2. leg-of-mutton principle demonstration in special angle and solving a triangle; 3. any leg-of-mutton principle demonstration in angle and solving a triangle; 4. the triangle that needs to use the sine and the cosine law to find the solution calculates; 5. all can turn to leg-of-mutton geometric auxiliary calculating; 6. can carry out the described point of rectangular coordinate system rapidly, easily; 7. carry out the computing of part analytic geometry.The utility model all than the fast several times of conventional computational methods, need not frequently be mapped when carrying out teaching demonstration when carrying out above calculating, and the student can pass through very fast grasp rule of slide ruler and principle.Use the utility model is visual and understandable, calculates rapidly, and need not remember loaded down with trivial details formula, need not table look-up, and need not carry out complicated derivation operation or the like, and abstract computing is reduced to playback image intuitively.

Fig. 1 is a structural representation of the present utility model.

Fig. 2 is the user mode figure of the utility model when making compasses and using.

Fig. 3 is that the utility model is made the coordinate user mode figure in when tracing.

Drawing reference numeral explanation: 1. base plate protractor, 2. rotation chi in the center of circle 3. moves the rotation chi, 4. shuttle groove, 5. central shaft, 51. axle center holes, 6. movable axis, 61. axle center holes, 7. screw.

Referring to accompanying drawing 1, the utility model is made up of three main members, it is respectively base plate protractor 1, center of circle rotation chi 2, mobile rotation chi 3, center at center of circle rotation chi 2 has a shuttle groove 4, center of circle rotation chi 2 is fixed by central shaft 5 and base plate protractor, center of circle rotation chi 2 can rotate freely around central shaft 5, mobile rotation chi 3 one ends are fixed with movable axis 6, movable axis 6 can be inserted in the shuttle groove 4, makes mobile rotation chi 3 make traveling priority with movable axis 6 along shuttle groove 4, also can be tightened on the shuttle groove with screw 7 and locate. Have an axle center hole 51 at central shaft 5 centers, also have axle center hole 61 at the center of movable axis 6, Axle center hole 51,61 size are can insert pin or pencil-lead or refill for ball-point pen as best. Be marked with angle at base plate protractor 1 circumference, bottom line is marked with yardstick, all indicates yardstick on center of circle rotation chi 2 and mobile rotation chi 3.

2,3 illustrate concrete using method of the present utility model and purposes in conjunction with the accompanying drawings more below.

1. but 1 intuitive judgment goes out the utility model and can make common ruler, protractor and use with reference to the accompanying drawings.

2. make compasses and use, as shown in Figure 2, move the rotation chi and can be designed to can be fixed in the center of circle rotation chi 2 shuttle grooves 4 on arbitrary position by fixed screw 7, it is empty that the movable axis 6 of fixed screw 7 is designed to the center, is advisable can hold the refill for ball-point pen point.After moving on any point that the rotation chi is fixed on center of circle rotation chi, the refill for ball-point pen point being inserted the screw center that tightens up, can center of circle rotation chi be that radius is drawn circle promptly.As shown in Figure 2.

3. coordinate tracing, behind the coordinate system that draws, the O point that the center of circle is rotated chi is to just on the origin of coordinates, and graduation mark aligned with the y axle overlaps.Make again and move the rotation chi and become 90 °, can make according to condition and move rotation chi displacement described point with center of circle rotation chi, once successful, look for the point on x axle, the y axle no longer respectively.Shown in Figure 3 is the coordinate tracing of (3,3), (6,9) two points.

4. ask trigonometric function value.

Example: to ask when α is respectively 30 °, 45 °, how many be values of sin α, cos α, tg α, ctg α respectively?

Solution procedure: rotation chi in the center of circle is positioned on 30 °, again 10 points (be made as 1 unit) of the O point location that moves the rotation chi in center of circle rotation chi, and perpendicular to the bottom line chi of protractor.As long as at this moment read the scale that moves rotation chi and protractor bottom line chi, and list by the trigonometric function proportionate relationship respectively and just obtain required trigonometric function value.

Reading is learnt: when α is 30 °,

sin30°＝5／10＝1／2＝0.5

cos30°＝8.7／10＝0.87

tg30°＝0.5／0.87＝0.575

ctg30°＝0.87／0.5＝1.73

When α is 45 °, learn by back, above step location reading:

sin45°＝7.1／10＝0.71

cos45°＝7.1／10＝0.71

tg45°＝7.1／7.1＝1

ctg45°＝7.1／7.1＝1

Annotate: when α is any angle of different quadrants, gets different positive negative values according to rule and get final product.

5. in coordinate system, ask distance between two points, will utilize range formula usually in the calculating:

｜P1P2｜＝ $\sqrt{\mathrm{(x}{}^2\mathrm{-\; x}{}^1){}^2\mathrm{+\; (y}{}^2\mathrm{-\; y}{}^1){}^2}$ The trouble of calculate utilizes how much slide rulers can not only read distance soon but also intuitively.

Example: ask P1(-6,2) and P2(6 ,-3) distance of point-to-point transmission.

Solution procedure: 1. earlier retouch out P1 and P2 by the coordinate tracing method of introducing previously, 2. the distance that goes out point-to-point transmission with mobile rotation dipstick metering gets final product, and the result who draws topic is 13.

Claims (3)

1, multipurpose geometric slide ruler, it is characterized in that it by base plate protractor (1), center of circle rotation chi (2), move rotation chi (3) and form, center at center of circle rotation chi (2) has a shuttle groove (4), center of circle rotation chi (2) is fixing by central shaft (5) and base plate protractor (1), move rotation chi (3) one ends and be fixed with movable axis (6), movable axis (6) can be inserted in the shuttle groove (4).

2, by the described multipurpose geometric slide ruler of claim 1, it is characterized in that described central shaft (5) center has axle center hole (51), described movable axis (6) center has axle center hole (61).

3,, it is characterized in that described movable axis (6) one ends are equipped with to tighten up screw (7) by the described multipurpose geometric slide ruler of claim 1.

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