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      "body": "Congratulations @kowalskii! You received a personal award!\n\n<table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@kowalskii/birthday2.png</td><td>Happy Birthday! - You are on the Steem blockchain for 2 years!</td></tr></table>\n\n<sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@kowalskii) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=kowalskii)_</sub>\n\n\n###### [Vote for @Steemitboard as a witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1) to get one more award and increased upvotes!",
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      "body": "Hello,\nWe have found that all or part of the above post may have been copied from: https://definicion.de/poligono-regular/\n\n\nNot indicating that the content you post **including translations, spun, or re-written articles** are not your original work could be seen as [plagiarism.](http://www.plagiarism.org/plagiarism-101/what-is-plagiarism/)\n\nThese are some tips on how to share content and add value:\n- Using a few sentences from your source in “quotes.” Use HTML tags or markdown \">\" before the quote.\n- Linking to your sources.\n- Include your own original thoughts and ideas on what you have shared.\n- It is recommended that the quotes should not cover more than 50% of the whole post. At least 50% of the content should be original.\n\nRepeated plagiarized posts are considered spam. Spam is discouraged by the community, and may result in action from the [cheetah bot](https://steemit.com/steemitabuse/@cheetah/cheetah-bot-explained).\n\nIf you are actually the original author, please do reply to let us know!\n\nThank You.\n\nMore Info: <a href=\"https://steemit.com/steemcleaners/@steemcleaners/abuse-guide-2017-update\">Abuse Guide - 2017</a>.",
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      "body": "Source: http://e-ducativa.catedu.es/44700165/aula/archivos/repositorio/3000/3229/html/2_interaccin_electrosttica_ley_de_coulomb.html\n\n\nCopying/Pasting full texts without adding anything original is frowned upon by the community. \n\n\nSome tips to share content and add value:\n- Using a few sentences from your source in “quotes.” Use HTML tags or Markdown. \n- Linking to your source\n- Include your own original thoughts and ideas on what you have shared.\n\n\nRepeated copy/paste posts could be considered spam. Spam is discouraged by the community, and may result in action from the [cheetah bot](https://steemit.com/steemitabuse/@cheetah/cheetah-bot-explained).\n\n\nCreative Commons: If you are posting content under a Creative Commons license, please attribute and link according to the specific license. If you are posting content under CC0 or Public Domain please consider noting that at the end of your post. \n\nIf you are actually the original author, please do reply to let us know!\n\nThank You!",
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      "body": "<div class=\"text-justify\">\n\n*HELLO STEMIANS!*\n\nElectrostatics studies the mutual effects that occur between bodies as a consequence of their electrical charge. The electric charge is the quantity that quantifies the electrostatic phenomena. The elementary charge is that of the electron, equal and opposite to that of the proton. Normally multiples of this charge is used, such as columbium.\n \n<center>![](https://steemitimages.com/DQmYofgGDmvpmrTJKAcdoTFgBJTTHpXx3jk2K4Kz3tNXMtu/imagen.png)\n[Source](https://espaciociencia.com/wp-content/uploads/2009/10/ley-coulomb-e1362749948834.jpg)\n</center>\n\n### Coulomb's law\n\nThe electrostatic interaction between charges can be expressed mathematically by the so-called Coulomb Law, established by the French physicist Charles A. Coulomb in 1977:\n\nThe force exerted between two point electric charges q1 and q2 is directly proportional to the product of both charges and inversely proportional to the square of the distance that separates them.\n\n Where the unitary vector of direction is the line that joins the charge q1 with the charge q2 and its sense that goes from q1 to q2. K is the so-called Coulomb constant, which in vacuum takes a value ![](https://steemitimages.com/DQmSMUzu8krDaYJxfK3VgQZtYWiCYziriMyPMgTzB7gctBN/imagen.png)\n\n <center>![](https://steemitimages.com/DQmboZzmrWWoesmPHrr5nTJUqQ4Howrc3vkXh6P4szA4N3F/imagen.png)\n[Source]( https://commons.wikimedia.org/wiki/File:CoulombsLaw_scal.svg)\n</center>\n\nNote that it is a vector magnitude, and as such it will be characterized by:\n\n• Module: The numerical value of F.\n• Direction: The one of the line that unites both charges.\n• Sense: If both charges are of the same sign, the force will be positive (repulsive) while if they are of opposite sign the force is negative (attractive) as observed experimentally.\n\nAnother characteristic to keep in mind is that because it is a force must comply with the third law of Newton (Principle of action and reaction) and therefore the forces that are exerted mutually two charges must be equal in module and direction but in the opposite direction (![](https://steemitimages.com/DQmdTvayVDwDboDhCDWzduhLt5X238S98ikQhaCEKsXHETs/imagen.png) ) \n\nKeep in mind that this law is valid only for point loads and at rest, although, as a valid approach, it can also be used for loads whose size is much smaller than the distance between them and when the movement of the loads occurs at very low speed or in uniform rectilinear trajectories. That is why it is called electrostatic force.\n\nIn the following animation you can observe the vectorial character and the dependence with the square of the distance of the electrostatic interaction, as well as the attractive or repulsive nature of the force depending on the sign of the charge, as indicated by Coulomb's Law. To do this, move any of the charges and observe the change in force vectors.\n\nIt is important to note the following points in relation to Coulomb's law:\n\na)\twhen we talk about the force between electric charges we are always assuming that they are at rest (hence the name Electrostatics);\n\nNote that the electric force is a vector quantity; it has magnitude, direction and sense.\n\nb)\tthe electrostatic forces fulfill Newton's third law (law of action and reaction); that is, the forces that two point electric charges exert on each other are equal in module and direction, but in the opposite direction: Fq 1 → q 2 = −Fq 2 → q 1 ; \n\n<center>![](https://steemitimages.com/DQmdvnv2kR9hXQiwrbyaXyxkJf1p6SE7CRGAqLd2d2BfUVu/imagen.png)\n[Source](http://ffden-2.phys.uaf.edu/212_fall2003.web.dir/don_bahls/coulombs_law.html)\n</center>\n\n\nIn mathematical terms, this law refers to the magnitude F of the force that each of the two point charges q 1 and q 2 exerts on the other separated by a distance r and is expressed in the form of an equation such as:\n\n ![](https://steemitimages.com/DQmdsHQUahGwRCk5eJ5PjjbMhxJPAzz6MhHmPnpQJGCo2wf/imagen.png)\n\nk is a constant known as Coulomb constant and bars denote absolute value.\n\nF is the vector Force that electric charges suffer. It can be attraction or repulsion, depending on the sign that appears (depending on whether the charges are positive or negative).\n\n- If the charges are of opposite sign (+ and -), the force \"F\" will be negative, which indicates attraction\n- If the charges are of the same sign (- and - or + and +), the force \"F\" will be positive, indicating repulsion.\n\nIn the graph we see that, independent of the sign that they have, the forces are always exerted in the same direction (parallel to the line that represents r), they always have the same module or value (q1 x q2 = q2 x q1) and they are always exercised in the opposite direction between them.\n\nRecall that the unit by electric charge in the International System (SI) is the Coulomb.\n\nc) As far as we know Coulomb's law is valid from distances of many kilometers to distances as small as those between protons and electrons in an atom.\n\nHaving understood Coulomb's law by its concept, we can determine the application of this law in everyday life.\n\n1-\tThe first example deals with when after handling a polyethylene bag and this has manufacturing residues, we must fight enough to detach them from our body, since we are charged by the friction of clothes, air, etc. These charges are opposite to those of plastic and are attracted to us; therefore they stick to our clothes, hands, body, etc.\n\n2-\tAnother example very similar to the previous one is to rub two balloons, when approaching them at a certain distance they attract each other.\n\n<center>![](https://steemitimages.com/DQmWz1ubMWMkv6kNbMErP1RdXgFZHdwNedmh7aRCuoQAMF8/imagen.png)\n[Source]( http://clipground.com/electrostatic-charge-clipart.html)\n</center>\n\n\nFor mor information, visit:\n\n+ https://physics.info/coulomb/\n+ http://www.chegg.com/homework-help/definitions/coulombs-law-4\n+ http://science.jrank.org/pages/1838/Coulomb.html\n\nThank you for u attention!\n\n</div>",
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      "body": "<div class=\"text-justify\">\n\n## Polygons\nIn geometry, a polygon is a flat figure composed of a limited sequence of consecutive straight segments that close a region in the plane. These segments are called sides, and the points where they intersect are called vertices. The interior of the polygon is called an area. The polygon is the two-dimensional case of the polytope, a general geometric figure defined for any number of dimensions. In turn, a polydope of three dimensions is called polyhedron, and four-dimensional is called polychrome.\n\n<center>![](https://steemitimages.com/DQmRQ4VQ5nK4XrfZpmMijjgomqYCFgdtSCQ9kroLD4gR3mX/imagen.png)\n[Source](https://openclipart.org/download/148753/1310156321.svg)</center>\n\n### Regular and irregular polygons\nPolygons can be classified in different ways according to their characteristics. Regular polygons are those whose sides and their interior angles are equal. This means that all sides measure the same, as do the angles that form the joints of these segments.\n\nThese properties, on the other hand, make that all regular polygons are equilateral polygons (with sides of identical length) and equiangular polygons (the totality of their interior angles measure the same). In addition, the regular polygon can be inscribed in a circle; this means that it is possible to draw a circumference (called circumscribed) that passes through all its points, so that it contains it completely within it.\n\n<center>![](https://steemitimages.com/DQmPTUZe4Q4AjJmrDdx7nq8Q98N2RMY3wYqvJnRzAkUuuyX/imagen.png)\n[Source](http://image.mathcaptain.com/cms/images/41/regular-and-irregular-polygons.JPG)</center>\n\nAn example of a regular polygon, therefore, is a square whose sides measure 5 centimeters each and its interior angles, 90 degrees each. Other regular polygons are equilateral triangles, regular hexagons and regular pentagons.\n\nWhen their sides and their internal angles are not equal (that is, they do not have congruence with each other), we can speak of irregular polygons. On the other hand, if the internal angles and sides of the polygon are equal, the figure will be classified as a regular polygon.\n\nIn addition to the above, it is important to highlight that any irregular polygon is made up of the following elements:\n\n-Inner angles.\n-Inner point, which is the one that is within the perimeter of the polygon.\n-Ventices, which are the points where the sides meet.\n-Lands, which are the segments that come to delimit the perimeter of the mentioned polygon.\n\nDue to its characteristics, it can be affirmed that the vertices of the irregular polygons can not be included in the same circumference. Like any other polygon, they can be named differently according to the number of sides: irregular pentagon (if it has five sides), irregular quadrilateral (four sides), irregular triangle (three sides), etc.\n\n## Convex and concave polygons\nA concave polygon is one of the most interesting geometric figures that I have seen and of course a polygon of this type is not convex.\n\nA simple polygon is concave if and only if at least one of its internal angles is greater than 180 degrees. An example of a non-simple (auto-intersection) polygon is a star polygon.\n\nA concave polygon must have at least four sides.\n \n\nA flat polygon is called convex if it contains all the segments that connect any pair of its points. Thus, for example, a regular pentagon is convex (left figure), whereas a pentagon indentation is not (right figure). A planar polygon that is not convex is said to be a concave polygon.\n\n## Elements of a polygon\nThese are the elements of a polygon:\n\n• Side: one of the previously named segments that delimits the surface of the polygon.\n• Vertex: point where two segments of those that make up the polygon join.\n• Diagonal: segment that joins two non-adjacent vertices.\n• Angle: opening of the two adjacent segments that concur in a vertex.\n\n<center>![](https://steemitimages.com/DQmTUkPh9gKL2nF3UQtNF7KYhZjYFqEJDjmAvQEcsutPcT9/imagen.png)[Source](http://www.math.com/tables/art/geometry/polygonparts.gif)</center>\n\n## Classification and construction of polygons\nRegular polygons are the basis for many constructions, especially in the architectural field, but not only. In this section, you will find the constructions of different polygons. These constructions entail operations that are explained in each of the cases shown below.\nThe first row is intended for the construction of polygons having the length of the side as data, while the second row is collected constructions of the inscribed polygons.\n\nFor the best organization of contents, both triangles and quadrilaterals (polygons of 3 and 4 sides, respectively), we will study them separately from the rest of the polygons.\n\nThis space will increase with new routes. Each path has a link to its explanation.\n\n\n## Distribution\nPentagons from the side\n\n1. Regular Pentagon Polygon with 5 equal sides and 5 vertices of the same value.\n2. Regular hexagon. Polygon with 6 equal sides and 6 vertices of the same value.\n3. Regular heptagon. Polygon of 7 equal sides and 7 vertices of the same value.\n4. Regular octagon. Polygon with 8 equal sides and 8 vertices of the same value.\n5. Regular enegon. Polygon with 9 equal sides and 9 vertices of the same value.\n6. Decónono regular. Polygon with 10 equal sides and 10 vertices of the same value.\n\nRegistered polygons\n1. Pentagon registered. Regular polygon of 5 sides, but that is inscribed in a circumference. The data provided is the radius of the circumference.\n2. Hexagon enrolled. Regular polygon of 6 sides, but that is inscribed in a circumference. The data provided is the radius of the circumference.\n3. Registered heptagon. Regular polygon with 7 sides.\n4. Engraved octagon. Regular polygon with 8 sides.\n5. Engraved Enegon. Regular polygon of 9 sides.\n6. Decagon registered. Regular polygon with 10 sides.\n\n## Construction of an octagon\nThis first construction of a regular octagon is very simple.\n\n1-. We draw a square and then its two diagonals. These two diagonals are cut in the center of the square.\n\n<center> ![](https://steemitimages.com/DQmdnUB96M5xZs9Hk3p9xCsCQYmUx56z3FAiKWWnPzGZuNH/imagen.png)</center>\n\n2-. Now draw the midpoint of each of the four segments that go from a vertex to the center of the triangle, drawing for each of them the segment perpendicular to it that passes through said midpoint. Each of these segments will cut to two sides of the square at its midpoints. \n\n<center>![](https://steemitimages.com/DQmQeVCSPDMHu6VgkxWGijcVGhi7yr5FRwEcNGemTHLvGZ1/imagen.png)</center>\n\n3-. For each of these cut points with the sides we draw the bisector of the angle that forms the segment calculated before and the side of the square to which it cuts (in dashed line).\n\n<center>![](https://steemitimages.com/DQmbi5iL895VA4gSTdTwSyMdT1Kp82oWvYqvsMQwPg6qUaZ/imagen.png)</center>\n\n4-. These bisectors are cut into four points, which together with the four midpoints of the sides of the square form a regular octagon.\n \n<center>![](https://steemitimages.com/DQmTSfzZ6ydVnqQmG4ymcBLrZKpNsexR2E2E6z75kcLJ8Pc/imagen.png) \n_Images made by me_</center>\n\n\n### Quadrilaterals\n\nQuadrilaterals are four-sided polygons. The most common are squares and rectangles, but there are many others. Like triangles, they are classified by their angles and their sides.\nThe most common quadrilaterals are the following:\n\n+ Parallelograms\n\nThe parallelogram, the geometrical figure that will occupy us next, is a type of quadrilateral although it is particular, since its sides are parallel two to two, that is, its opposite sides are parallel to each other.\n\nThere are different types of parallelograms, the rectangle parallelograms, which are characterized because all their internal angles are straight, that is they measure 90 ° and the parallelograms are not rectangles, which have two acute internal angles and the other two internal ones are obtuse. When the angle is obtuse it is because it measures more than 90 ° but is less than 180 °.\n\nNow, enter the first, the rectangle parallelograms, we find the square and the rectangle and in the non-rectangles highlight the diamond and rhomboid.\n\nThe square is distinguished from the rest by presenting four equal sides and four right angles, also has four axes of symmetry, four edges and four vertices.\n\nFor its part, the rectangle, another popular parallelogram, has four sides that make right angles and their opposite sides have the same length. In this sense it differs from the square because only these opposite sides have a similar length, in the square all sides have the same extension.\n\nOn the side of the rhombus also its four sides observe the same length while the opposite interior angles will be equal. And the rhomboid is halfway to the rhombus and the rectangle, with its angles and also its sides identical from two to two.\n\n\nFor more information visit the following links:\n+ https://www.mathplanet.com/education/geometry/points,-lines,-planes-and-angles/polygons\n+ https://www.sangakoo.com/en/unit/elements-of-a-polygon-and-classification\n+ https://www.basic-mathematics.com/types-of-polygons.html\n\n\n</div>",
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