EP0267911A1 - Educational visual aid particularly for demonstration in solid geometry - Google Patents

Educational visual aid particularly for demonstration in solid geometry

Info

Publication number
EP0267911A1
EP0267911A1 EP86904335A EP86904335A EP0267911A1 EP 0267911 A1 EP0267911 A1 EP 0267911A1 EP 86904335 A EP86904335 A EP 86904335A EP 86904335 A EP86904335 A EP 86904335A EP 0267911 A1 EP0267911 A1 EP 0267911A1
Authority
EP
European Patent Office
Prior art keywords
ball
hoop
sphere
rest
ruler
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Withdrawn
Application number
EP86904335A
Other languages
German (de)
English (en)
French (fr)
Inventor
Istvàn LENART
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
ORSZAGOS TANSZERGYARTO ES ERTEKESITO VALLALAT
Original Assignee
ORSZAGOS TANSZERGYARTO ES ERTEKESITO VALLALAT
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by ORSZAGOS TANSZERGYARTO ES ERTEKESITO VALLALAT filed Critical ORSZAGOS TANSZERGYARTO ES ERTEKESITO VALLALAT
Publication of EP0267911A1 publication Critical patent/EP0267911A1/en
Withdrawn legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B27/00Planetaria; Globes
    • G09B27/08Globes
    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
    • G09B23/04Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective

Definitions

  • the invention relates to an educational visual aid, particularly for demonstration in solid geometry, consisting of a ball, a support under the ball, and a spherical ruler, adapted to the ball surface, the ball has a surface suitable for being drawn and written on, the spherical ruler being constructed from a hoop, a saddle perpendicular to the hoop, and at least one handle, suitable for being placed onto the ball sur ⁇ face in any position, the support being a torus under the ball to hold it in any position, and with the tracer edges of the hoop and the saddle lying on arcs of great circles of the ball.
  • Such an aid is described in the HU-A 185 190, mainly for representing and studying various concepts, con ⁇ figurations and problems in spherical and solid ge ⁇ ometry, and facilitating the demonstration of compli ⁇ cated three-dimensional notions.
  • This aid consists of three separate parts: a rigid ball, preferably made of plastic, with a smooth and closed surface for being drawn and written on; a spherical ruler, constructed from a hoop and a saddle, perpendicular to the hoop, in such a manner that the ruler is pre ⁇ cisely adapted to the surface of the ball in any po- sition and at last, a support under the ball to hold it firmly in any position on this support.
  • the above-mentioned device has been tested and exam ⁇ ined in various kindergartens, elementary and second- ary schools, colleges, universities, educational institutions and even video recordings, as a toy and a visual aid. It has proved useful, versatile and amusing in a wide variety of subjects, as mathematics, geometry, geography, drawing, astronomy, crystallog- raphy etc.
  • the impact resistance of the spherical ruler is often insufficient. Both the saddle and the handle on it can be deformed or even broken in use or transport. - In some cases, the supporting torus is inadequate to hold the ball firmly in position. Schoolboys and girls, wrapped up in their work on the ball, may push it out of the torus, particularly on the skew surfaces of some school-desks. This may lead to frequent and inconveniently noisy droppings, even crackings of the balls in classroom use.
  • the main object of the present invention lies in the disposal of the before-mentioned disadvantages. In order to attain this object following improvements of the prior art have been carried out;
  • Two small lenticular tips are formed on the inner side of this joint serving for points of contact with the ball surface.
  • the handle is a thin and solid plate on the saddle, adjacent to the joint, with rounded tips and a V- shaped excision on its top.
  • the two tips on the inner side of the joint keep the surfaces of the ball and the joint from being in close contact, and, in this way, they prevent drawings or figures on the ball surface from being smeared.
  • the ruler gives a firm foundation and support of the ball, yet permits it to be freely and comfortably revolved or lifted up by any axes of the ball.
  • the two planes of the three- point support and the great circle of the tracer edge of the hoop have a solid angle of 25 , an ideal situ- ation for drawing and measuring on the ball surface. Even for small children, this position of the ruler gives a firm and safe support of the ball while drawing The ruler stably supports the ball on skew-boarded desks, with a bedding angle up to 15°.
  • the inserted joint remarkably increases the impact resistance and stability of the ruler. With the ruler supporting the ball, we can lean on the ball without causing any deformation or breaking of the ruler. In like manner, the joint increases the resistance of the ruler to overstrain due to rough handling or transport.
  • the above-mentioned design of the handle is to the advantage of the set in several ways.
  • the thin, solid and not too raised plate of the handle satisfac ⁇ torily tolerates overstrain. Its two rounded tips and the nose on the joint give a steady support of the ball.
  • this design of the handle and the ruler significantly reduces cost of production, since it needs only one casting mould to manufacture the ruler, in contrast with the two moulds of the old version.
  • Figure 1 is a side elevation view of the edu ⁇ cational visual aid, consisting of the ball, the spherical ruler and the support, partly in section, and
  • Figure 2 is a fragmentary view of the set from another side.
  • Figures 1 and 2 show a ball 1 made of transparent plastic, consisting of an upper hemisphere la, and a lower hemisphere lb, and placed onto a support 2 in an arbitrary position.
  • This support 2 is a ring-shaped torus, preferably made of the same kind of plastic as the ball 1, and also an important and interesting geometrical surface for drawing, playing and study ⁇ ing.
  • a spherical ruler consisting of a hoop 3, a saddle 4 and a joint 6, is placed in an arbitrary position onto the surface of the ball 1.
  • the tracer edges of the hoop 3 and the sad- die 4 lie on arcs of great circles of the ball 1.
  • Figure 2 shows the bisector of the joint 5 lying on the arc of a great circle. This same bisector halves a long-shaped, rounded supporting nose 7, on the outer side of the joint 5, near to the hoop 3, serving as a point of support of the spherical ruler.
  • the hoop 3 has a chamfer 3a and a scale division 8 by its tracer edge, whereas the saddle 4 has a scale division 9 by its tracer edge.
  • the tips 10 and 11 are long-shaped, but round or other versions are also acceptable. Their heights are about 0,5 mm, in order to prevent the surfaces of the ball 1 and the ruler from close contact and, in this way, smearing of drawings on the surface of the ball 1.
  • the angle ⁇ shown on Figure 1, and preferably about of 5-6°, serves for preventing the tracer edge of the hoop 3 from close contact with the surface of the ball 1.
  • the thin and solid plate of the handle 5 has two rounded tips 5a and 5b at its top, in order to obtain two points of support for the spherical ruler.
  • Figure 1 shows that the handle plate 5 lies on the side o the saddle 4 adjacent to the joint 6, as to constitute a firm and safe three-point support in the plane of the triangle determined by the tips 5a and 5b and the nose 7.
  • This plane includes a solid angle preferably about 25 with the plane de ⁇ termined by the tracing edge of the hoop 3.
  • tha ball can be supported either by the torus or the spherical ruler, corre ⁇ sponding to the nature of the drawing or problem to be solved.
  • the torus for example, is very appropriate for supporting the ball while drawing short arcs, or figures not involving great circles at all.
  • the ratio of the problems solved with the torus or the ruler supporting the ball is about 50 - 50 percent.
  • this ratio is about 90 - 10 percent to the torus.

Landscapes

  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Engineering & Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Business, Economics & Management (AREA)
  • Educational Administration (AREA)
  • Geometry (AREA)
  • Algebra (AREA)
  • Astronomy & Astrophysics (AREA)
  • Drawing Aids And Blackboards (AREA)
  • Toys (AREA)
  • Instructional Devices (AREA)
EP86904335A 1985-07-25 1986-07-15 Educational visual aid particularly for demonstration in solid geometry Withdrawn EP0267911A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
HU852826A HU192681B (en) 1985-07-25 1985-07-25 Object-teaching instrument first of all for making solid geometric ideas known
HU282685 1985-07-25

Publications (1)

Publication Number Publication Date
EP0267911A1 true EP0267911A1 (en) 1988-05-25

Family

ID=10961272

Family Applications (1)

Application Number Title Priority Date Filing Date
EP86904335A Withdrawn EP0267911A1 (en) 1985-07-25 1986-07-15 Educational visual aid particularly for demonstration in solid geometry

Country Status (11)

Country Link
EP (1) EP0267911A1 (enrdf_load_stackoverflow)
JP (1) JPS63501175A (enrdf_load_stackoverflow)
KR (1) KR880700376A (enrdf_load_stackoverflow)
AU (1) AU6139586A (enrdf_load_stackoverflow)
DD (1) DD255022A5 (enrdf_load_stackoverflow)
DK (1) DK149187A (enrdf_load_stackoverflow)
ES (1) ES2000761A6 (enrdf_load_stackoverflow)
HU (1) HU192681B (enrdf_load_stackoverflow)
IL (1) IL79441A (enrdf_load_stackoverflow)
IN (1) IN163289B (enrdf_load_stackoverflow)
WO (1) WO1987000668A1 (enrdf_load_stackoverflow)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108731910B (zh) * 2018-01-20 2020-10-27 中国科学院深海科学与工程研究所 用于固液两相流动试验研究的示踪小球

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE925433C (de) * 1952-07-03 1955-07-18 Friedrich V Frhr Buddenbrock Zerlegbares Lehrmodell eines sphaerischen Koerpers
DE2228170A1 (de) * 1972-06-09 1974-01-03 Irving J Starworth Aus kugelschalenabschnitten hergestellter globus
SU734799A1 (ru) * 1975-05-16 1980-05-15 Войсковая часть 60130 Глобус

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
See references of WO8700668A1 *

Also Published As

Publication number Publication date
DK149187D0 (da) 1987-03-24
KR880700376A (ko) 1988-03-15
IL79441A (en) 1990-04-29
DK149187A (da) 1987-03-24
DD255022A5 (de) 1988-03-16
HU192681B (en) 1987-06-29
AU6139586A (en) 1987-02-10
IL79441A0 (en) 1986-10-31
ES2000761A6 (es) 1988-03-16
IN163289B (enrdf_load_stackoverflow) 1988-09-03
JPS63501175A (ja) 1988-04-28
WO1987000668A1 (en) 1987-01-29

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18D Application deemed to be withdrawn

Effective date: 19920203

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Inventor name: LENART, ISTVAN