Kut is the main geometric figure, which is sorted out by stretching all those. Appointment, methods of task, recognition of that vimiryuvannya kuta. Let's take a look at the principle of seeing kutiv on armchairs. The whole theory is illustrated and may be a rich armchair.
Appointment 1Kut- A simple important figure in geometry. Kut bezporeddno to lie in the vіd vznachennya exchange, which in his line is formed from the basic points, straight lines and planes. For a thorough understanding, you need to go deep behind the topics straight on the flat - necessary bridgesі area - necessary vіdomostі.
Understanding Kuta starts to understand about a point, a plane that is straight, depicted on this plane.
Appointment 2
Given a straight line a on the plane. Point O is significant on it. promin, And point O - cob of promenade.
Otherwise seeming, promin chi directly - the whole part of the straight line, which is formed from the point of the given straight line, spread on one side of the cob point, then the point O.
The designation of the change is permissible in two variations: one small or two great letters of the Latin alphabet. When naming two letters, let me name what is made up of two letters. Let's take a look at the report on the armchair.
Let's move on to understand the meaning of the kuta.
Appointment 3
Kut- the whole figure, ruffled in a given plane, adorned with two unmatched exchanges, to make an open ear. Kuta sideє change, vertex- Zagalny cob storіn.
Mіsce vipadok, if the sides of the kuta can act as a straight line.
Appointment 4
If the offending sides of the kuta are spread on one straight line, or both sides serve as an additive to the straight lines of one straight line, such a kut is called roar up.
On the little one below, a flare-up kut is depicted.
Krapka on a straight line - tse i є top of the kuta. Most often, the place is marked by the point O.
Kut in mathematics is denoted by the sign "∠". If the sides of the kuta are denoted by small Latin ones, then the correct designation of the kuta is written in a row of letters corresponding to the sides. If two sides can be denoted by k і h, then kut is denoted as ∠ k h or ∠ h k.
If it is marked by great letters, it is likely that the sides of the kuta can be called O A and O B. In such a time, I can name three letters of the Latin alphabet, recorded later, at the center with the top - ∠ A O B and ∠ B O A. I know the meaning of looking at the numbers, if you can't think of naming either the literal meanings. Below, little ones are pointed, in different ways, kuti are indicated.
Kut subdivides the plane into two parts. If the kut is not broken, then one part of the area can be called inner area Kuta, insha - Western region Kuta. The image is shown below, as I explain, as parts of the surface, and as internal.
When separated by a flared kut on the surface, whether it is from one part, the inner area of the flared kut is taken into account.
The inner area of the kut is an element that serves another purpose of the kut.
Appointment 5
Kutom to name a geometric figure, which is composed of two non-matching changes, to make a hot ear and open the inner region of the kuta.
Dane's appointment is suvorish, lower in front, shards are bigger than minds. It’s not possible to look at the offense of the appointed person perfectly, for the one who is cut is a geometric figure, transformed for the help of two changes that come out of the same point. If it is necessary to beat the head with a kut, then under the appointment, it is necessary to understand the presence of two exchanges from the head of the cob and the inner region.
Appointment 6Name two kuti total yakscho є spilna side, and dvі іnshі є dodatkovymi navіvmimi or utvoryuyut rozgornuty kut.
It can be seen on the little one that the sums of kuti supplement one of the one, the shards are the continuation of one of the one.
Appointment 7
Name two kuti vertical as if the sides of one are supplementary directives of the other, or the extensions of the other. The picture below shows a picture of vertical cuts.
When crossing straight lines, 4 pairs of sums and 2 pairs of vertical cuts come out. Below is a little one.
The article shows the designation of equal and uneven cuts. It is possible to choose which kut is respected by the greater, which is smaller and the other power of the kut. The two figures are respected equally, as if they were put on stench, they escaped. The same power zastosovuєtsya for povіvnyannya kutіv.
Two kuti are given. It is necessary to add a visnovka, equal tsi kuti chi nі.
It seems that there is a place for the tops of two kutivs on that side of the first kut to be some other side of the other. That is, with a full zbіgu with the imposed cuts, the sides of the given cuts will be combined again. equal.
It’s possible that when the sides are overlaid, they can’t get together, then cutie nervous, smaller from some of them add up from the other, and larger May have a different warehouse at your own warehouse. Below are images of nerves, as if they were not confused when they were overlaid.
Razgornutі kuti є equal.
Vimiryuvannya kutiv starts from vimiryuvannya to the side of the kut, which is vimiryuєtsya, and yogo internal areas, filling like single kutami, apply one to one. It is necessary to protect the number of laying kutivs, the stench and signify the world of kuta, which is being fought.
The loneliness of a vimіru kuta can be expressed, whether it be some kind of kut, which is vimiruєєє. Є zagalnopriynyati odinitsі vіmiru, yakі zastosovuyat nauktsі tekhnіtsі. The stinks specialize in other names.
Most vikoristovuyu understand degree.
Appointment 8
one degree call it a kut, which means one hundred and eighteenth part of a burnt kut.
The standard designation of a degree is followed by the help of "°", then one degree is 1°. Also, a roaring kut is made up of 180 such kutiv, which add up from one degree. All nayavnі kuti schіlno stowed one to one and the sides of the front line with the next one.
Vіdomo, scho kіlkіst kіlkіst kіlkіst gradusіv vugіllі, tsі і є є є є є samіd kuta. Rozgornuty kut may 180 put kutіv in his warehouse. Lower the butt to the little one, de laying the kuta ide 30 times, then one shosta of the burnt one, and 90 times, then half.
For accuracy, the timing of the vimiryuvannya kutiv vikoristovuyutsya hvilin that seconds. Їх zastosovuyut, if the value of the kuta is not equal to the value of the degree. Such parts of the degree allow you to make precise roses.
Appointment 9
Khvilina name one sixteenth part of a degree.
Appointment 10
in a second name one sixteenth part of the hvilini.
Degree to revenge 3600 seconds. Khvilini means """, and seconds """".
1°=60"=3600"", 1"=(160)°, 1"=60"", 1""=(160)"=(13600)°,
and the value of the kuta is 17 degrees 3 hvilin and 59 seconds may look 17 ° 3 "59"".
Appointment 11
Let's aim the butt of the sign of the degree world of the kuta equal 17 ° 3 "59". There is only one entry 17 + 3 60 + 59 3600 = 17 239 3600.
For an accurate vimir kutіv vykoristovuyut such vimіruvalny prilad like a protractor. When the kuta ∠ A O B of that yogo degree world is 110 degrees, the best record ∠ A O B \u003d 110 ° is read, which reads “Kut A O B is good for 110 degrees”.
In geometry, the world is victorious at intervals (0, 180], and in trigonometry, a fairly degree setting may be called turn around. The meaning of kutiv is always expressed by a real number. Straight cut- Tse kut, sho maє 90 degrees. Gostriy kut- Kut, which is less than 90 degrees, and stupid- More.
The gostry kut dies in the interval (0, 90), and the dull one - (90, 180). Below, three types of kutiv are clearly depicted.
Whether it's a degree of the world, whether it's a kuta may be the same value. The larger kut is more likely to have a greater degree of the world, the lower one is smaller. The degree of the world of one kut is the sum of all degree entries in the inner kut. Below, little ones are indicated, de testimony of the cut AOB, which is formed from the cuts of AOC, COD and DOB. The report looks like this: ∠ A O B = ∠ A O C + ∠ D O B = 45° + 30° + 60° = 135°.
Vihodyachi z tsogo, you can sprobit visnovok, sho soma all summіzhnyh kutіv dorіvnyuє 180 degrees, for all the stinks and become a roaring kut.
Zvіdsi screaming, scho be-yakі vertical cuts equal. As we look at the butt, we take into account that A O B i C O D - vertical (on the armchair), the same pairs of cuts A O B i B O C, C O D and B O C are taken in sum. In such a case, the equality ∠ A O B + ∠ B O C = 180 ° together with ∠ C O D + ∠ B O C = 180 ° is unequivocally correct. It is possible that ∠ A O B = ∠ C O D . Below is the butt of the image and the indication of vertical catches.
Crimium degrees, hvilin that seconds vikoristovuetsya one more loneliness in the world. Vaughn is called radian. Most often, you can learn from trigonometry when the cuts of the bagatokutniks are known. What is called a radian?
Appointment 12
Kutom one radian name the central kut, which is the maximum radius of the stake of the dovzhin arc.
On the little radian, the radian is depicted at the sight of the stake, de є the center, the designations are a dot, with two points on the stake, z'ednannym and turning on the radius O A and O B. In i Pro A.
The designation of the kuta is taken for "rad". This entry at 5 radian is shorthand for 5 rad. Sometimes you can understand what I can name. There are no radiations of fallow land at the top of the given stake, the shards of the post may be the same as the fencing with the help of the kuta and the arc with the center, which is at the top of the given kuta. The stinks get high like that.
Radiani can be such a sensation, like degrees, only a difference in their magnitude. In order to determine, it is necessary to calculate the length of the arc of the central kuta by adding the length of the її radius.
In practice, win conversion of degrees to radians and radians to degrees for a successful completion of the task. An article has been assigned to the maє іnformatsiyu about the connection of the degree setting with the radian, de you can reportly change the translation from the degree to the radian back.
For a clear and handy image of arcs, kutіv vikoristovuyut armchair. Not sure, you can correctly depict that one, which is the next part, I will name the arc. Rivnі kuti may be marked as the same number of arcs, and uneven as different. On the armchair, the correct designation of the gostrikh, equal and uneven kutivs is depicted.
If it is necessary to designate more than 3 kutіv, special marks of the arcs are vikoristovuyutsya, for example, flabby or toothed parts. Tse does not have such an important meaning. Below, little ones are pointed, de shows their signification.
The meanings of the kutіv are guilty but simple, so that they do not respect other meanings. At the ceremony, it is recommended to see only the ones necessary for the opening of the kuti, so as not to harass all the armchairs. It’s not worth making a decision and proving it, but also giving an aesthetic looking little one.
How did you remember the pardon in the text, be kind, see it and press Ctrl + Enter
Kutoviy Zahid
Kut vimiryuyut in degree world (degree, whilina, second), in revolutions - extending the length of the arc s to the length of the stake L , in radians - extending the length of the arc s to the radius r ; Historically, the city of the world has also been stagnant in the world of kutiv, none of them may be victorious anywhere.
1 turn = 2π radians = 360° = 400 deg.
In marine terminology, kuti are indicated by rhumbs.
tipi kutiv
The other kuti are hostria (a) and blunt (b). Burnt Kut (c)
The cream of this, is seen between the smooth curves at the point of turning: for the chosen, its value is more equal to the value of the cut between the curves.
Wikimedia Foundation. 2010 .
Marvel at the same "Razgornuty Kut" in other dictionaries:
Kut, what a hello to two straight. * SCAN of the surface figure, which at the plane with such a mixed point is given on the surface with the plane, at which the lines are filled with the invariable. Rozgorka crooked div. Great Encyclopedic Dictionary
kut- ▲ difference in a straight line (near the open space) cut the length of a turn from one straight line to another; direct retail; part of a new turnover (# nahilu. Utvoryuvati #). sickly. frail. respite. uhilitis (the road uhililis to the right).
Kut- kuti: 1 wild look; 2 sums; 3 lay down; 4 vertical; 5 flare-ups; 6 straight, hostry and blunt; 7 between curves; 8 between a straight line and a flat; 9 mіzh to be crossed straight (do not lie in one flat) straight. KUT, geometric ... ... Illustrative encyclopedic dictionary
A geometric figure that is made up of two different changes that emerge from one point. Change the sound by the sides of U., yakі zagalne ear with the top of U. Nehai [VA), [BC) to the side of the kuta, At the top of the yogo, the flat, is marked by the sides of the U. The figure divides the flat ... Mathematical Encyclopedia
Kut, what a hello to two straight. * * * Rozgornuty kut rozgornuty kut, kut, equal two straight ... Encyclopedic dictionary
He divided mathematicians who are engaged in the development of the powers of various figures (specks, lines, cuts, two-dimensional and trivi- mer objects), their reconciliation and mutual expansion. For clarity, the calculation of the geometry is subdivided into planometry and stereometry. AT… … Collier Encyclopedia
1) The laman line is closed, the same: if there are different points, none of the three consecutive ones do not lie on the same straight line, then the combination of vіdrіzkіv zv. bagatokutnik (div. Fig. 1). M. can be spacious or flat (lower ... Mathematical Encyclopedia
across- ▲ pіd kutom maximum, oblique kut transverse. across from a straight cut. . direct kut kut maximum v_dhilennya; kut, equal to his sum; quarter turn. perpendicular. perpendicular, which is located under a straight cut. perpendicular. Ideographic Dictionary of Russian Movies
degree- a, m. A 90 degree cut is called a straight cut. Rozgornuty kut warehousing 180 degrees. 2) Unity in the temperature interval, what can ... Popular dictionary of Russian
Schwartz Christoffel's theorem is an important theorem in the theory of complex functions, bearing the name of German mathematicians Karl Schwartz and Elvin Christoffel. Even more important from a practical point of view is the problem of conformity ... Wikipedia
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In these articles, we universally consider one of the main geometric figures - kut. Let us understand that purpose from the help of others, how to lead us to the destiny of the kuta. After that, we will instruct to adopt ways to recognize cuts. They gave a report on the process of vimir kutiv. At the end, it will be shown how you can see how cool you are on the armchair. We provided all the theory with the necessary armchairs and graphic illustrations for a short memory of the material.
Navigation on the side.
Appointed kuta.
Kut is one of the most important figures in geometry. The appointment of the kuta is given through the appointment of the exchange. It is impossible to recognize one’s own line, the manifestation of a change, without knowing such geometric figures as a point, a straight line and a plane. Therefore, before getting to know the appointees of the kut, it is recommended to refresh the theory of distribution in memory.
Otzhe, vіdshtovhuvatimemosya vіd understand the points, straight lines on the plane that plane.
Damo back to back for me.
Let us be given a deak right on the flat. Significantly її letter a. Nehai O - deyak point of the straight line a . Point O subdivides a straight line into two parts. The skin from these parts at once from the point O is called change, and the point O is called cob of promenade. Can you still feel what you should name singly direct.
For style and clarity, they introduced the following designations for exchanges: promin means either a small Latin letter (for example, promin p or promin k), or two great Latin letters, the first one from which you give an ear of exchange, and the other designates a point of change, exchange OA or promin CD). Shown is the image of the sign of the change on the armchair.
Now we can give the first appointment of the kuta.
Appointment.
Kut- the whole flat geometric figure (to lie down near the singing flat), like to make two uneven exchanges from the head of the cob. To call leather from change kuta side, the hot cob of the sides of the kuta is called the top of the kut.
Mozhlivy vpadok, if the sides of the kuta become a straight line. Such a kut has its own name.
Appointment.
If the offending sides of the kut lie on one straight line, then such a kut is called roar up.
I would like to convey to your respect the graphic illustration of a burnt kut.
For the recognition of the kuta, the kuta icon "" is used. Since the sides of the kut are marked with small Latin letters (for example, one side of the kuta is k, and the other is h), then to identify which kut, after the pictograms of the kut, write down the letters that are given to the sides, and the order of writing the value is not possible (tobto, or). Since the sides of the kuta are marked by two great Latin letters (for example, one side of the kuta OA, and the other side of the kuta OB), then the kut is denoted by the offensive rank: after the icon of the kut, write down three letters, which take part in the designated sides of the kuta, moreover, the letter, which is the top kuta, roztashovuєtsya in the middle (at times kut will have meanings like abo). If the top of the kut is not the top of another kut, then such a kut can be designated by a letter that points to the top of the kut (for example,). Sometimes you can bachiti, which kuti on armchairs is indicated by numbers (1, 2, etc.), designate qi kuti like and so else. For the sake of accuracy, let's point out the little ones, on which the picture shows the sign of the kuti.
Be-yakiy kut podіlyaє flat on two parts. When tsiomu yakscho kut is not flared, then one part of the area is called inner region of Kuta, and inshu - western region of kuta. I explain the step of the image, as part of the surface shows the inner area of the kuta, and yak - outside.
Whether it be from two parts, on a folded kut, you divide the plane, you can enter the inner area of the flared kut.
The designation of the inner region of the kut should be brought to another designation of the kuta.
Appointment.
Kut- the whole geometrical figure, like two non-matching exchanges are folded from the outer cob and the inner inner area of the kuta.
Significantly, scho friend kuta suvorishe first, shards to avenge more minds. Prote next to see the first appointed kuta, so the next to look at the first and other appointed kuta okremo. Let's explain the moment. If there is a vugillya like a geometric figure, then a figure will come to mind, it is folded in two exchanges from a green cob. If it’s necessary to blame the need to carry out whether it’s a dії z tsim kut (for example, vimіr kuta), then at the same time, you should also consider two exchanges from the outer cob and the inner region (also viklja b the situation is twofold through the presence of tactic, the inner region) ).
There are more designs of summіzhnyh and vertical cutіv.
Appointment.
Sumezhni kuti- there are two kuti, in which one side is double-sided, and the other two make a flared kut.
It follows that the sum of the kuti add one to the one to the burnt kut.
Appointment.
Vertical kuti- There are two kuti, for which the sides of one kuta are the continuation of the other side.
On the little picture are vertical cuts.
It is obvious that two straight lines, which intertwine, make two pairs of sum cuts and two pairs of vertical cuts.
Por_vnyannya kutiv.
In this paragraph, the statutes are analyzed with the designations of equal and uneven kutivs, as well as in different uneven kutiv roses, it is clear which kut is important for the greater, and for the smaller.
Guessing, two geometric figures are called equal, as they can be combined with overlays.
Give us two kuti. Let's bring a mirkuvannya, yakі help us take a look at the question: "Equal qi two kuti chi ni"?
It is obvious that we can always take the tops of two kutivs, as well as one side of the first kut with either side of the other kut. Sumy beak of the first kut with the other side of the other kut, so that the sides of the kutiv, which were left out, slumped on one side in a straight line, on which lie the confusion of the side of the kutiv. Then, as if the two other sides of the kutiv are together, then the kuti are called equal.
If the two sides of the kutiv do not come together, then the kuti are called nervous, moreover smaller vvazhayetsya that kut, which becomes part of the other ( greatє that kut, scho I will avenge another kut).
It is obvious that two fired kuti are equal. It is also obvious that the roaring kut is greater for any unkind kut.
Vimiryuvannya kutiv.
Vimiryuvannya kutiv is grounded on the line of kuta z kut, let's take it as a single vimiryuvannya. The process of dying cut looks like this: starting on one side of the beaten cut, its inner area is successively filled with single cuts, carefully stacking them one to one. At the same time, remember the number of orders of kutiv, what and give the world a kuta, what to fight.
In fact, like being alone in the world of kutiv, you can be accepted, be it a kut. However, there are impersonal loners in the world of kutivs, which can be seen to the various galleries of science and technology, the stench took off special names.
Alone with loneliness in the world of kutiv degree.
Appointment.
one degree- tse kut, which is one hundred and eighteenth part of the burnt kut.
A degree is denoted by the symbol "", hence, one degree is denoted as .
In this rank, we can put 180 kutivs in one degree at a burnt kutі. Tse will look like a half of a round pie, which is cut into 180 equal pieces. It’s even more important: the “pieces of the pie” fit neatly one to one (then the sides of the kut will come together), moreover, the side of the first kut will go down with one side of the burnt kut, and the side of the remaining single kut will go with the other side of the torn kut.
In case of winter kutiv z'yasovuyut, skilki razіv degree (otherwise one of them vimіru kutіv) fit in the corner to the full cover of the inner region of the vimіruvany kut. As we have already crossed over, at the roaring cut, the degree fits exactly 180 times. Lower applied cuts, for some cuts, they fit exactly 30 times in one degree (such a cut should be a part of a burnt cut) and 90 times (half of a cut cut).
For the number of degrees less than one degree (otherwise, the number of degrees is less than one degree) and in depressions, if the number of degrees is not allowed to be measured by a whole number of degrees (taken by one of the number of degrees), it is necessary to win a fraction of a degree (a fraction of the number of degrees taken by one). Pevnі parts of the degree won special names. The largest width was nabuli, ranks, hvilini and seconds.
Appointment.
Khvilina- That's one sixteenth part of a degree.
Appointment.
Second- Tse one sixty-fourth part of the hvilin.
In other words, a quill has sixty seconds, and a degree has sixty quills (3600 seconds). For the definition of whilin, use the symbol “”, and for the definition of seconds - the symbol “” (do not confuse with the signs of the right and the other). However, with the introduction of appointments, that designation can be, and kut, in which 17 degrees 3 hviline and 59 seconds fit, you can signify yak.
Appointment.
Kuta degree peace a positive number is called, as it shows how many degrees of one degree and one part fit into a given circle.
For example, the degree setting of a burnt kuta is more than a hundred and seventy, and the degree setting of a kuta is more expensive 
.
For vimiryuvannya kutіv іsnuyut spetsіlnі vіmіryuvalnі prilady, most vіdomim є protractor.
If you see and understand the kuta (for example,) that yogo degree of the world (let's say 110), then a short record of the mind 
And it seems: "Kut AOB is a hundred and ten degrees."
The designation of the kuta and the degree world of the kuta is obvious, which in the geometry of the world of the kuta in degrees is expressed by the actual number of the interval (0, 180) (in trigonometry, one looks at the kuti with a sufficient degree approach, they are called). Kut ninety degrees may have a special name, yogo is called straight cut. Kut smaller 90 degrees is called gostrim kutom. Kut greater than ninety degrees is called stupid kutom. Also, the world of a sharp kut in degrees is expressed by a number in the interval (0, 90), the world of a dull kut is expressed by a number in the interval (90, 180), a direct kut is equal to ninety degrees. We will draw illustrations of a sharp cut, a blunt cut and a straight cut.
According to the principle of vimiryuvannya kutiv, it is clear that the degrees of the world of equal kutiv are the same, the degree of the world of the greater kut is greater for the degree of the world of the smaller one, and the degree of the world of kut, which is to establish a sprat of kutiv, more sum of degree entrances of warehouse kutiv. A little lower than the indications of kut AOB, which is to establish kuti AOC, COD and DOB, in your own.
in such a manner, the sum of summіzhnyh kuіv dorivnyuє one hundred and seventy degrees, Oskіlki stench to become a roaring kut.
From which firmness you see, sho. True, as kuti AOB and COD are vertical, then kuti AOB and BOC are summіzhnі and kuti COD and BOC are also summіzhnі, to that, fair equality and, stars follow equality.
Order іz degree zruchna loneliness vimіru kutіv, zvan radian. Radian strike is widely celebrated in trigonometry. Damo is assigned to the radian.
Appointment.
Kut in one radian– ce central kut, To whom the length of the arc is given, which is the length of the radius of the double stake.
Damo graphic illustration of a kuta in one radian. On the armchair, the length of the radius OA (like the radius OB) is longer than the length of the arc AB, to that, for the designated kut AOB, the length is one radian.
For the recognition of radians vikoristovuyut fast "I'm glad". For example, writing 5 rad means 5 rad. However, the designation "glad" is often omitted on the sheet. For example, if it is written, what is good for you, then you are on the verge of feasts.
Varto okremo means that the value of the kuta is expressed in radians, to lie in the depth of the radius of the stake. It is connected with this, that the figures, surrounded by a given kut and an arc of a stake with a center at the top of this kut, are similar to each other.
You can beat the cuts in radians in the same way, as well as cut the cuts in degrees: z'yasuvati, the scales of cuts in one radian (and one th part) fit into this cut. And you can virahuvat the dove of the arc of the double central kut, after which you divide it into a dove of the radius.
For the needs of practice, it’s nobility to know, how to spy between oneself degrees and radians come in, so how to finish a part of it to bring it up. At the designation of the statute, a link was inserted between the degree and radian world of the kuta, and the application of the translation of the degrees at the radian and back was added.
Appointment of kutiv on the armchair.
On armchairs, for clarity, the sharpness of the kuta can be marked with arcs, as it is customary to draw from the inner region of the kuta from one side of the kuta to the outside. Equal cuts indicate the same number of arcs, uneven cuts of a different number of arcs. Direct kuti on the armchair are designated as a symbol of the form "", which is in the inner area of the direct kuta from one side of the kuta to the outside.
If on the armchair there are signs of a rich variety of cuts (sound more than three), then with the sign of cuts, krіm sizable arcs, it is permissible to choose the arcs of some sort of special kind. For example, you can depict the teeth of the arc or similar.
Significantly, that you don’t splurge on the signs of the kutivs on the armchairs and don’t spoil the little ones. It is recommended to indicate only those kuti, which are necessary for the process of rozvyazannya chi to prove.
List of literature.
- Atanasyan L.S., Butuzov V.F., Kadomtsev S.B., Poznyak E.G., Yudina I.I. Geometry. 7th - 9th class: a handyman for the sacred lighting mortgages.
- Atanasyan L.S., Butuzov V.F., Kadomtsev S.B., Kiselova L.S., Poznyak E.G. Geometry. Assistant for grades 10–11 of a secondary school.
- Pogorelov A.V., Geometry. Servant for 7-11 classes of zagalnoosvitnіh zakladіv.
Kutom is called a geometric figure, as it is composed of two different changes that come out of one point. In this case, tsі promenі are called the sides of the kuta. Krapka, which is exchanged on the cob, is called the top of the kut. You can hit the little one with the top at the point Pro, the sides kі m.
Points A and C are marked on the sides of the kut. At the middle of the obov'yazkovo can stand the name of the point, where the top of the kuta is known. Also, find out other signs, cut About abo cut km. In geometry, the word kut is often written with a special icon.
Fired up and unburned kut
If the offending side of the kut lies on one straight line, then such a kut is called roar up cutom. Tobto one side of the kuta is the continuation of the other side of the kuta. On a small scale of representations of roaring kut O.
The next step is to designate that, be it a cut, the flat is divided into two parts. If the kut is not open, then one of the parts is called the inner region of the kut, and the other is called the outer region of the kut. A little lower than the representations of the unopened kut and the designation of the ring and the inner region of the kut.
At the time of the open kut, be like two parts, divide the flat on yak veins, you can enter the outer region of the kut. You can talk about the position of the shodo kuta point. Krapka may lie behind a hood (in the outer region), may be on one side, or may lie in the middle of the hood (near the inner region).
A little lower, point A lies behind the kut, point B lies on one side of the kut, and point C lies in the middle of the kut.
Vymiryuvannya kutiv
For vimiryuvannya kutіv іsnuє ranks protractor. Alone in the world of kuta є degree. The next step is to indicate that the skin can be equal to the same degree of the world, as more than zero.
Fallow in the degree world, kuti are subdivided into sprat groups.