CN205508256U - Gauss ke lvge map projection presentation device - Google Patents
Gauss ke lvge map projection presentation device Download PDFInfo
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- CN205508256U CN205508256U CN201620151049.1U CN201620151049U CN205508256U CN 205508256 U CN205508256 U CN 205508256U CN 201620151049 U CN201620151049 U CN 201620151049U CN 205508256 U CN205508256 U CN 205508256U
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Abstract
The utility model relates to a gauss ke lvge map projection presentation device, it is including base and bulb, the globe main part, the ball center position that the bulb set up in the globe main part, the surface of globe main part has to warp verifies triangle -shaped and warp, weft, central meridian, the equator, first length verification line, second length is verified line and third length and is verified the line, it schemes the paper cap to be equipped with at the outside of globe main part cover, it is oval column to scheme the paper cap thoroughly, its center pin and the earth's axis of globe main part are perpendicular and to scheme the internal surface of paper cap thoroughly tangent with the two poles of the earth of globe main part, the utility model discloses explanation gauss -Kru&4&ger projection's that can be through simple and convenient method image process is utilized simultaneously and is warp the deformation properties who verifies triangle -shaped and length verification wire pair gauss -Kru&4&ger projection and carry out the explanation of image directly perceived, convenient for material collection, design and production portably, can be with abstract theoretical teaching visualization, vividly change, very big improvement the teaching effects of cartography.
Description
Technical field
This utility model belongs to college demonstration equipment technical field, is specifically related to a kind of Gauss Ke Lvge map projection apparatus for demonstrating.
Background technology
Gaüss-Krüger projection is to be drafted by Germany mathematics man, physicist, astronomer Gauss, is supplemented projection formula by Germany geodesist Ke Lvge, therefore referred to as Gaüss-Krüger projection.Owing to the earth is an irregular spheroid, go in plane in order to the Nature and Man literary composition key element on its surface is represented, just must use map projection, but until not having the most perfect map projection of one at present, reason be earth ellipsoid face be a curved surface that can not open up, area, length, angular distortion is there is during map projection, and constant in order to ensure an attribute, remaining two attribute must be sacrificed.In a line teaching, the mode of the derivation of equation or broadcasting magic lantern is often used to impart knowledge to students, but less effective, reason is the most theoretical complex and process is the most abstract, and student is not easy to understand.
Utility model content:
In order to reform existing teaching method, promote teaching level, strengthen intuitive, vividness and interest that map projection gives lessons, solve the problem that teaching efficiency is the best, this utility model provides a kind of map projection's apparatus for demonstrating and method, utilize the whole process of this device demonstration Gaüss-Krüger projection, make student can observe atural object key element intuitively and be transformed into the whole process of plane from sphere, understand deformation properties and the feature of Gaüss-Krüger projection.
This utility model realizes above-mentioned technical purpose and be the technical scheme is that
This Gauss Ke Lvge map projection apparatus for demonstrating, the bulb including base and being arranged on base and light transmission tellurion main body, bulb is arranged on the sphere center position of tellurion main body, the outer surface of tellurion main body has deformation checking triangle and warp, parallel, central meridian, equator, first length checking line a, second length checking line b and the 3rd length checking line c, first length checking line a and the 3rd length checking line c is distributed in both sides and the first length checking line a of the second length checking line b, second length checking line b, 3rd length checking line c along warp direction and is distributed in different latitudes, in the outer cover of tellurion main body equipped with saturating figure paper cap, the cross section ovalize of figure paper cap thoroughly, vertical with the earth's axis of tellurion main body and saturating figure paper cap the inner surface of its central shaft is tangent with the two poles of the earth of tellurion main body.
Difference of longitude between above-mentioned first length checking line a and the second length checking line b and the second length checking line b and the 3rd length checking line c is 1.5 °～3 °, difference of latitude is 30 °～60 °.
Above-mentioned figure paper cap is made up of oval column sleeve and saturating drawing, oval column sleeve is made oval column structure by thin wire, its cross section ovalize, i.e. the major axis of cross section is equal with the equatorial diameter of tellurion main body, short axle is equal with the ground shaft length of tellurion main body, the height of this ellipse column sleeve is equal with the equatorial diameter of tellurion main body, is coated with drawing and forms figure paper cap on cylindroid set.
Above-mentioned tellurion main body includes tellurion skeleton and covers the mylar on tellurion skeleton outer surface, and deformation checking triangle is pasted onto the surface of mylar.
Utilize map projection's demenstration method of above-mentioned Gauss Ke Lvge map projection apparatus for demonstrating, following steps realize:
(1) making bulb luminous after switching on power, the light that bulb sends makes warp, parallel, deformation checking triangle, the first length checking line a, the second length checking line b, the 3rd length checking line c form projection on saturating figure paper cap through mylar；
(2) in a projection zone, on saturating figure paper cap, central meridian and equator and the warp in central meridian both sides and the parallel of both sides, equator is drawn one by one with pencil, draw projection line and the first length checking line a, the second length checking line b, the projection line of the 3rd length checking line c of deformation checking triangle again, generatrix direction along saturating figure paper cap takes off drawing, the planar condition of this projection zone after institute's drawing shape is Gaüss-Krüger projection on saturating drawing；
(3) deformation checking triangle and the warp of figure paper cap upslide movie queen are measured, parallel, central meridian, equator, first length checking line a, second length checking line b and the corresponding length of the 3rd length checking line c, angle, and calculate the checking triangle area of the deformation after projection, the relatively triangular angles before and after projection, area change and central meridian and the first length verify line a, second length checking line b and the length change of the 3rd length checking line c, determine the angular distortion after Gaüss-Krüger projection in this projection zone respectively, area distortion, length deformation；
(4) on cylindroid set, new saturating figure paper cap is again covered, repeat (1)～(3), then form the Gaüss-Krüger projection of next projection zone, until the whole projection zone of tellurion main body all completes projection, the plane graph projected is stitched together according to longitude range, then define the Gaüss-Krüger projection map of the whole earth, and demonstrate out its projection deformation.
nullGauss Ke Lvge map projection of the present utility model apparatus for demonstrating is after being powered up，The light transmission mylar that bulb sends，Make warp、Parallel、Central meridian、Deformation checking triangle、First length checking line、Second length checking line and the 3rd length checking line form projection on saturating figure paper cap，On saturating figure paper cap, warp is drawn with pen、Parallel、Central meridian、Deformation checking triangle and the projection line of each length checking line，After completing, saturating drawing is taken off along oval column sleeve bus position，Thoroughly on drawing, institute's line drawing bar is the planar condition in Gaüss-Krüger projection later projection zone，This utility model can be by the process of the brightest Gaüss-Krüger projection of mode simply and easily，Utilize deformation checking triangle and length checking line that the deformation properties of Gaüss-Krüger projection carries out the explanation of visual pattern simultaneously，Additionally this utility model is drawn materials conveniently、Design and produce simplicity、Can be by abstract theory teaching visualization、Animation、Such that it is able to attract the attention of student，Improve the teaching efficiency of cartography greatly.
Accompanying drawing explanation
Fig. 1 is the internal structure schematic diagram of the Gauss Ke Lvge map projection apparatus for demonstrating of embodiment 1.
Fig. 2 is the right side view of Fig. 1.
Detailed description of the invention
In conjunction with drawings and Examples, the technical solution of the utility model is further described, but this utility model is not limited only to following enforcement situation.
Embodiment 1
Seeing Fig. 1 and 2, the Gauss Ke Lvge map projection apparatus for demonstrating of the present embodiment is made up of base 1, bulb 3, tellurion main body 4 and saturating figure paper cap 2.
nullWherein，Base 1 is common table lamp base 1，Base 1 is provided with bulb 3，Tellurion main body 4 it is also equipped with outside bulb 3，Bulb 3 is positioned at the sphere center position of tellurion main body 4，The tellurion main body 4 of the present embodiment is made up of according to the mylar being overlapped to form spherical cancellated plain type tellurion skeleton good with the light transmission covered on tellurion skeleton through parallel thin wire，It is fixed on base 1 bottom this tellurion skeleton、Top pin fastener，Its specification is equivalently-sized with commonly globe，The outer surface of mylar is pasted with a right angle deformation checking triangle 5，And mark warp、Parallel、Central meridian、Equator、First length checking line a、Second length checking line b and the 3rd length checking line c，First length checking line a and the second length checking line b、3rd length checking line c is along warp direction，And the second length checking line b is marked on central meridian，First length checking line a is marked at the lower section of the second length checking line b and is distributed in the left side of central meridian，And and the second length checking line b between formed difference of longitude be 3 °，3rd length checking line c is marked at the top of the second length checking line b and is distributed in the right side of central meridian，And and the second length checking line b between formed difference of longitude be 3 °，I.e. ensure the first length checking line a、Second length checking line b、3rd length checking line c along warp direction and is distributed in different latitudes，Difference of latitude between first length checking line a and the second length checking line b is 30 °，Difference of latitude between second length checking line b and the 3rd length checking line c is 30 °，Guarantee to reflect the deformation in different latitude.In the outer cover of tellurion main body 4 equipped with saturating figure paper cap 2, the saturating figure paper cap 2 of the present embodiment is made up of oval column sleeve and saturating drawing, oval column sleeve is made cylindroid tubular structure by thin wire, its cross section ovalize, the i.e. major axis of cross section is equal with the equatorial diameter of tellurion main body 4, short axle is equal with the ground shaft length of tellurion main body 4, the height of this ellipse column sleeve is equal with the equatorial diameter of tellurion main body 4, cylindroid set is coated with drawing and forms figure paper cap 2, figure paper cap 2 is horizontally mounted thoroughly, the central shaft of the most saturating figure paper cap 2 is vertical with the earth's axis of tellurion main body 4, and the inner surface of figure paper cap 2 is tangent with two limits of tellurion main body 4 thoroughly.
Embodiment 2
nullIn the present embodiment，First length checking line a and the second length checking line b、3rd length checking line c is along warp direction，And the second length checking line b is marked on central meridian，First length checking line a is marked at the lower section of the second length checking line b and is distributed in the left side of central meridian，And and the second length checking line b between formed difference of longitude be 1.5 °，3rd length checking line c is marked at the top of the second length checking line b and is distributed in the right side of central meridian，And and the second length checking line b between formed difference of longitude be 1.5 °，I.e. ensure the first length checking line a、Second length checking line b、3rd length checking line c along warp direction and is distributed in different latitudes，Difference of latitude between first length checking line a and the second length checking line b is 35 °，Difference of latitude between second length checking line b and the 3rd length checking line c is 35 °.
Other structure is same as in Example 1.
Embodiment 3
nullIn the present embodiment，First length checking line a and the second length checking line b、3rd length checking line c is along warp direction，And the second length checking line b is marked on central meridian，First length checking line a is marked at the lower section of the second length checking line b and is distributed in the left side of central meridian，And and the second length checking line b between formed difference of longitude be 2 °，3rd length checking line c is marked at the top of the second length checking line b and is distributed in the right side of central meridian，And and the second length checking line b between formed difference of longitude be 2 °，I.e. ensure the first length checking line a、Second length checking line b、3rd length checking line c along warp direction and is distributed in different latitudes，Difference of latitude between first length checking line a and the second length checking line b is 60 °，Difference of latitude between second length checking line b and the 3rd length checking line c is 60 °.
Other structure is same as in Example 1.
Above-described embodiment being verified, the length of line and the angles and positions etc. of deformation checking triangle 5 all can adjust in good time, can be the right angled triangle in embodiment as deformed checking triangle 5, can also be isosceles triangle or equilateral triangle or the triangle of other angles, it be not limited only to above-mentioned enforcement situation.
Claims (4)
1. a Gauss Ke Lvge map projection apparatus for demonstrating, it is characterised in that: include base (1) and
The bulb (3) being arranged on base (1) and light transmission tellurion main body (4), bulb (3) is arranged on
The sphere center position of tellurion main body (4), the outer surface of described tellurion main body (4) has deformation checking triangle
Shape (5) and warp, parallel, central meridian, equator, the first length checking line (a), the second length checking
Line (b) and the 3rd length checking line (c), the first length checking line (a) and the 3rd length checking line (c)
Be distributed in second length checking line (b) both sides and the first length checking line (a), second length checking line (b),
3rd length checking line (c) along warp direction and is distributed in different latitudes, in tellurion main body (4)
Outer cover equipped with saturating figure paper cap (2), the cross section ovalize of saturating figure paper cap (2), its central shaft and ground
The earth's axis of globe main body (4) is vertical and the inner surface of saturating figure paper cap (2) and the two of tellurion main body (4)
The most tangent.
Gauss Ke Lvge map projection the most according to claim 1 apparatus for demonstrating, it is characterised in that: institute
State first length checking line (a) with second length checking line (b) and the second length checking line (b) with
Difference of longitude between 3rd length checking line (c) is 1.5 °～3 °, difference of latitude is 30 °～60 °.
Gauss Ke Lvge map projection the most according to claim 1 apparatus for demonstrating, it is characterised in that: institute
Stating figure paper cap (2) to be made up of oval column sleeve and saturating drawing, oval column sleeve is made cylindroid by thin wire
Shape structure, the equatorial diameter phase of the major axis of its cross section ovalize, i.e. cross section and tellurion main body (4)
Equal with the ground shaft length of tellurion main body (4) on, short axle, the height of this ellipse column sleeve and tellurion main body
(4) equatorial diameter is equal, is coated with drawing and forms figure paper cap (2) on cylindroid set.
Gauss Ke Lvge map projection the most according to claim 1 apparatus for demonstrating, it is characterised in that: institute
State tellurion main body (4) include tellurion skeleton and cover the mylar on tellurion skeleton outer surface,
Deformation checking triangle (5) is pasted onto the surface of mylar.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620151049.1U CN205508256U (en) | 2016-02-29 | 2016-02-29 | Gauss ke lvge map projection presentation device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620151049.1U CN205508256U (en) | 2016-02-29 | 2016-02-29 | Gauss ke lvge map projection presentation device |
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| CN205508256U true CN205508256U (en) | 2016-08-24 |
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| CN201620151049.1U Expired - Fee Related CN205508256U (en) | 2016-02-29 | 2016-02-29 | Gauss ke lvge map projection presentation device |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105608984A (en) * | 2016-02-29 | 2016-05-25 | 西安科技大学 | Device and method for Gauss-Kruger map projection demonstration |
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2016
- 2016-02-29 CN CN201620151049.1U patent/CN205508256U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105608984A (en) * | 2016-02-29 | 2016-05-25 | 西安科技大学 | Device and method for Gauss-Kruger map projection demonstration |
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| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20160824 Termination date: 20190228 |