What is round bodies?

What Does round bodies Mean

In the field of geometry , the element that has three dimensions is called body : height, width and length. According to their characteristics, it is possible to distinguish between different types of geometric bodies .

The round bodies have one or more surfaces or faces shaped curve . This allows them to differentiate themselves from flat bodies or polyhedra , made up entirely of flat faces.
The cones are examples of round bodies. It is a solid of revolution that is formed from the rotation of a right triangle around a leg. Let's see each of the parts of the cone below with a brief definition of each one:

* axis : this is the leg around which the right triangle must rotate to form the cone;

* base : is the circle that arises as a result of the rotary movement of the other leg. This leg is also considered the radius of the cone, that is, half the diameter;

* generatrix : this is the name of the hypotenuse of the right triangle, which produces the lateral zone of the cone, which is known as the mantle ;

* cusp : it is the vertex located at the top, in what we could call "the tip" of the cone.
The missing element in the previous list is the height of the cone, since its definition admits two possibilities that must be taken care of separately. If this property of the round body is equivalent in magnitude with the extension of the axis, that is, it forms a line perpendicular to the base joining the center of it with the cusp, then we are faced with a right cone.
Although this is the shape we associate with the cone in everyday speech, there is also another variety: oblique cones . These round bodies have a height that does not coincide with the extension of the axis , since it does not form a perpendicular line with the base, but rather has a certain inclination.
In a case like this, if we want to know the height of the cone, we must project the cusp in the plane on which the base is located, drawing a perpendicular line, and then measure the distance between both points.
Thinking about the theoretical or imaginary steps that we must follow to build a cone, which in some cases can be found spontaneously in elements of nature, is necessary to access the series of calculations related to the measurement of its dimensions and properties.
By decomposing a cone into an infinite series of identical right triangles, we can take advantage of the equations of these simpler geometric shapes to calculate the height of the main structure and the diameter of the circumference that acts as the base of the round body, since the smaller leg of the triangle will be equivalent to its radius, which we must multiply by two.

The traffic cones that are used to sort traffic or perform a warning to drivers are round bodies. These cones are usually made of plastic and are brightly colored to attract attention .
The cylinders are also round bodies. In this case, the object develops from the parallel displacement of the generatrix (straight) by the directrix (flat curve). When the generatrix is ​​perpendicular to a directrix that is in the shape of a circle, a right circular cylinder is formed. Toilet paper, to name one case, is rolled up in a cardboard cylinder.
Spheres also appear between round bodies , which are surfaces of revolution composed of points equidistant from a center . A soccer ball (ball) is a sphere. It should be noted that the body that delimits a sphere is also known as a ball .

Go up