First way- on this side S with the help of a protractor.
Draw a straight line and plot AB = S on it; we take this line as a radius and with this radius from points A and B we describe arcs: then, using a protractor, we build angles of 108 ° at these points, the sides of which will intersect with arcs at points C and D; from these points with radius AB = 5 we describe the arcs that intersect at E, and connect the points L, C, E, D, B with straight lines.
The resulting pentagon- desired.
The second way. Draw a circle with radius r. From point A we draw an arc of radius AM with a compass until it intersects at points B and C with a circle. We connect B and C with a line that will cross the horizontal axis at point E.
Then, from point E, we draw an arc that will intersect the horizontal line at point O. Finally, from point F, we describe an arc that will intersect the circle at points H and K. Having set aside the distance FO \u003d FH \u003d FK five times along the circle and connecting the division points with lines, we get a regular pentagon.
The third way. IN given circle inscribe a regular pentagon. We draw two mutually perpendicular diameters AB and MC. Divide the radius AO by the point E in half. From point E, as from the center, we draw an arc of a circle of radius EM and mark the diameter AB at point F with it. The segment MF is equal to the side of the required regular pentagon. With a compass solution equal to MF, we make serifs N 1, P 1, Q 1, K 1 and connect them with straight lines.
The figure shows a hexagon along this side.
Direct AB \u003d 5, as a radius, from points A and B we describe arcs that intersect at C; from this point, with the same radius, we describe a circle on which side A B will be deposited 6 times.
Hexagon ADEFGB- desired.
"Refurbishment of rooms during renovation",
N.P.Krasnov
The basis for applying the painting is the completely finished painting of the surfaces of walls, ceilings and other structures; the painting is done on high-quality glue and oil paints, made for trimming or fluting. Starting to develop a sketch of the finish, the master must clearly imagine the whole composition in a domestic environment and clearly realize the creative idea. Only if this basic condition is observed can one correctly ...
The measurement of the work performed, except in special cases, is made according to the area of the actually processed surface, taking into account its topography and minus the untreated areas. To determine the really processed surfaces during painting work, you should use the conversion factors given in the tables. A. Wooden window devices (measured by the area of openings along the outer contour of the boxes) Device name Coefficient for ...
We have already said that in order to perform certain types of painting work, you must be able to draw. And the ability to draw, in turn, requires knowledge of the rules of construction geometric shapes. Sketches on paper are drawn with the help of triangles, T-series, transport pa and a compass, and on the plane of walls and ceilings, constructions are carried out using weights, a ruler, a wooden compass and a cord. At the same time, you need…
You are in the pentagon coloring page category. Coloring page you are looking at is described by our visitors as follows "" Here you will find a lot of coloring pages online. You can download Pentagon coloring pages and also print them for free. As you know, creative activities play a huge role in the development of the child. They activate mental activity, form an aesthetic taste and instill a love of art. The process of coloring pictures on the theme of the pentagon develops fine motor skills, perseverance and accuracy, helps to learn more about the world around you, introduces you to all the variety of colors and shades. Every day we add new free coloring pages for boys and girls to our website, which you can color online or download and print. A convenient catalog compiled by categories will make it easier to find the right picture, and a large selection of coloring pages will allow you to find a new one every day. interesting topic for coloring.This figure is a polygon with the minimum number of corners that cannot be used to tile an area. Only a pentagon has the same number of diagonals as its sides. Using the formulas for an arbitrary regular polygon, you can determine all the necessary parameters that the pentagon has. For example, inscribe it in a circle with a given radius, or build it on the basis of a given lateral side.
How to draw a beam correctly and what drawing supplies will you need? Take a piece of paper and mark a dot anywhere. Then attach a ruler and draw a line from the indicated point to infinity. To draw a straight line, press the "Shift" key and draw a line of the desired length. Immediately after drawing, the "Format" tab will open. Deselect the line and you will see that a dot has appeared at the beginning of the line. To create an inscription, click the "Draw an inscription" button and create a field where the inscription will be located.
The first way to construct a pentagon is considered more "classical". The resulting figure will be a regular pentagon. The dodecagon is no exception, so its construction will be impossible without the use of a compass. The task of constructing a regular pentagon is reduced to the task of dividing the circle into five equal parts. You can draw a pentagram using the simplest tools.
I struggled for a long time trying to achieve this and independently find proportions and dependencies, but I did not succeed. It turns out that there are several various options building a regular pentagon, developed by famous mathematicians. The interesting point is that arithmetically this problem can only be solved approximately exactly, since irrational numbers will have to be used. But it can be solved geometrically.
Division of circles. The intersection points of these lines with the circle are the vertices of the square. In a circle of radius R (Step 1) draw a vertical diameter. At the conjugation point N of a line and a circle, the line is tangent to the circle.
Receiving with a strip of paper
A regular hexagon can be constructed using a T-square and a 30X60° square. The vertices of such a triangle can be constructed using a compass and a square with angles of 30 and 60 °, or only one compass. To build side 2-3, set the T-square to the position shown by the dashed lines, and draw a straight line through point 2, which will define the third vertex of the triangle. We mark point 1 on the circle and take it as one of the vertices of the pentagon. We connect the found vertices in series with each other. The heptagon can be constructed by drawing rays from the F pole and through odd divisions of the vertical diameter.
And on the other end of the thread, the pencil is set and obsessed. If you know how to draw a star, but do not know how to draw a pentagon, draw a star with a pencil, then connect the adjacent ends of the star together, and then erase the star itself. Then put a sheet of paper (it is better to fix it on the table with four buttons or needles). Pin these 5 strips to a piece of paper with pins or needles so that they remain motionless. Then circle the resulting pentagon and remove these stripes from the sheet.
For example, we need to draw a five-pointed star (pentagram) for a picture about the Soviet past or about the present of China. True, for this you need to be able to create a drawing of a star in perspective. Similarly, you will be able to draw a figure with a pencil on paper. How to draw a star correctly, so that it looks even and beautiful, you won’t answer right away.
From the center, lower 2 rays onto the circle so that the angle between them is 72 degrees (protractor). The division of a circle into five parts is carried out using an ordinary compass or protractor. Since a regular pentagon is one of the figures that contains the proportions of the golden section, painters and mathematicians have long been interested in its construction. These principles of construction with the use of a compass and straightedge were set forth in the Euclidean Elements.
