Sphere

Who is online

Home Catalog of models Sphere CatalogDirectory

Directory

Unique telescopic transformable geometric shapes and body in plane geometry and solid geometry model "NANE" recommended by the Ministry of Education and Science of the Republic of Armenia as a textbook on geometry, and "Mathematics in the balance" as a visual training Training manuals on arithmetic for primary school students and preschoolers .

The main principles of working with models

Before you start working with the models should be aware that for manipulation and transformations need to consistently work only with each party separately.
For the implementation of each of the following transformations need each of the parties consistently close to the stop.

Certificate of Conformity Model "Nane"

Intellectual Property Agency of the Republic of Armenia issued under the law the patent on the invention of educational aids for young children "NANE"

The patent owner Samvel Movsisyan Vaganovich
Application number 9 62 02 from 23.07.1996, the
Registered in the State Register of RA 11.15.1997

Какой набор учебных дидактических моделей Вы бы хотели приобрести ?

Детское учебное пособие "Математика на весах" - 27.3%

Геометрическое учебное пособие "Треугольник" - 9.1%

Геометрическое учебное пособие "Нанэ" - 27.3%

Геометрическое учебное пособие "Шар" - 36.4%

Total votes: 11

The voting for this poll has ended on: 20 Feb 2013 - 12:53

View details
read the related article >>

Prize from the inventor

The author hopes that these geometric models and mathematical scales can sozdovat many interesting tasks. Interesting problems for the author promises a cash reward or prize.

Solving problems on solid geometry

vopros

Before proceeding to the solution of problems, it should be noted that the models are indispensable for drawings prostarnstvennyh bodies on the background of the board. Hold the model appropriately at the board, and you can draw yourself as visible. To solve the problems relating to the triangular pyramid is necessary to use a quadrangular pyramid, which is due to the fact that in various modified triangular pyramid, makes it possible to demonstrate specific tasks.

Task 1.
Have a triangular pyramid with equal edges whose base is a right triangle. The height of the pyramid passes through the center of the circle. Center of the circle in the middle of the hypotenuse.

Objective 2.
Ribs have a pyramid with a, b, c, which are mutually perpendicular. We need to find the volume of a pyramid. The task gets a simple solution if the inverted pyramid. As you can see, has turned the pyramid whose base is a right triangle, where the known length of the legs of the base (the base is a right-angled triangle) and the length of the altitude.
Thus, the volume of the pyramid is a, b, c ,. With our excellent fashion models demonstrated the possibility of obtaining drawings of spatial geometric bodies on the board.

Task 3.
Prove that in any pyramid can vpysat sphere. This is one of the most difficult problems in solid geometry. Wired section which passes through the dihedral angle bisector BACD. They intersect in a straight line AH. If you hold the third section, then it intersects with the second section in a straight line CM. The point of intersection CH and CM is the center of the inscribed sphere, as equidistant from all sides.