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00:00What is the role of the engineering team?
00:05The engineering team...
00:07We started talking about the issue of similarity.
00:10When I started talking about similarity,
00:13the engineering team...
00:16The whole issue was about similarity,
00:18so from the beginning we talked about the similarity of the branches.
00:22We used two rules for the similarity of the branches.
00:25What are they?
00:26The angles and the branches.
00:28We said that the angles are equal and the branches are equal.
00:33So we used these two rules for the issue of similarity.
00:37But how did we make a lesson about the branches?
00:39We said that the similarity of the branches is the most important lesson
00:42or the lesson that we will go into in detail.
00:45So because the details are our main subject,
00:48we decided to divide it into parts.
00:50So the similarity of the branches, how many theories does it have?
00:53Three.
00:54The similarity of the branches, how many theories does it have?
00:56Three.
00:57The first theory we talked about was that the similarity is achieved by equalizing the angles.
01:02Is it achieved by equalizing the angles, guys?
01:03The angles.
01:04The angles.
01:05If the angles are equal, then the branches are equal.
01:08The theory says that the two branches are equal if the two angles of the first branch are equal.
01:17So if the angles are equal, then the branches are equal.
01:20And how many angles does it have?
01:21Two.
01:22And it is obvious that if there are two angles that are equal to each other,
01:25then the branches are equal to each other.
01:26So how do we get the three angles?
01:28So if the three angles are equal, we get that the branches are similar.
01:32And if the branches are similar, we get that the branches are equal.
01:37So what else?
01:39From this part, we will get two results here.
01:42This result tells me that instead of adding the equality of the angles,
01:45this result means the equality of the angles.
01:47Who is she?
01:48When we have a triangle, if we have a straight line that intersects the triangle
01:53and intersects the third branch, we get a triangle that is similar to the big triangle.
01:58It is an original triangle.
01:59So we have, guys, this means similarity.
02:01This means what?
02:02Similarity.
02:03And what else?
02:04Unless you have a regular triangle and the radius of the regular triangle is normal,
02:07it is possible to make it similar.
02:10And from the similarity, we will get four results.
02:13What did we get in the end as a summary?
02:15Who did you get?
02:16Euclides.
02:17Euclides.
02:18How many angles does it have?
02:19Four.
02:20Four.
02:21So we have here, and here, the steps of writing the equality of the angles.
02:25This was the first theory and our results.
02:28The second theory.
02:30Instead of the equality of the angles, guys, who did we get?
02:33The proportions of the branches.
02:34What are the proportions?
02:35The proportions of the branches.
02:36If we have the proportions of the branches, all the branches are proportional,
02:39it is true that the proportions are also similar.
02:41And when we use the proportions of the branches, we get the equality of the angles.
02:47What will we get?
02:48The equality of the angles.
02:49This is the opposite of each other, right?
02:51What is this, guys?
02:53If you have the equality of the angles, what does this mean?
02:56Similarity.
02:57Similarity.
02:58And what do we get from it?
02:59The proportions of the branches.
03:00The equality of the angles.
03:01And what do we get from it?
03:02The proportions of the branches.
03:03The proportions of the branches.
03:04And what do we get from it?
03:05The equality of the angles.
03:06The equality of the angles.
03:07They are all similar.
03:08And what do we get from the similarity?
03:09The other meaning.
03:10So the meaning we got is based on a few things, guys.
03:14On the triangles, and the triangle consists of six things.
03:17Triangles, and triangles.
03:19What do we get from the similarity?
03:20The equality of the triangles.
03:22So if we use the triangles, we get the equality of the triangles.
03:26If we use the triangles, we get the equality of the triangles.
03:31So in the other theories that we took the last class,
03:34they have an example like this.
03:35It was in the face of Iqtar.
03:37The last example in Iqtar.
03:38And it was in the explanation with us, but we did not explain it.
03:41Let's see how this example is solved.
03:44We get a picture.
03:46It has a triangular shape.
03:48And write to me from the given shape or length.
03:51I want a square.
03:52I want this square.
03:53Let's say it is 4 cm.
03:55I forgot it from my book.
03:57But it is in the description.
03:58It is in the book, in the example.
04:00So the picture in front of us.
04:02How many cm is there, guys?
04:03Four.
04:04Okay, I want to get a square.
04:06This square.
04:07How do we get it?
04:08We know that as long as we want it, the possibilities are similar.
04:13But when I look at the complex shape in front of me,
04:16I will find that this small rectangle
04:18is an information rectangle.
04:19This small rectangle is an information rectangle.
04:21When we say a small rectangle and a large rectangle,
04:23what do we mean by similarity?
04:26We say that we arrange the rectangles.
04:27So when we arrange the rectangles,
04:29how do we arrange them?
04:31How do we arrange them?
04:32We say that the small one with the small one,
04:34and the large one with the large one, and so on.
04:36So when we deal with the rectangles,
04:39This shape.
04:40Who is the smallest rectangle we have?
04:42This is the A.
04:43This is the A.
04:44Do you know why?
04:45There are two triangles in it.
04:46This is the A.
04:47Who is the smallest rectangle we have?
04:48Six.
04:49Six.
04:50When they are divided into each other,
04:51how many by how many?
04:52Four.
04:53Four by six.
04:54How many by how many?
04:55Two by three.
04:56Two by three.
04:57Okay, fine.
04:58What else?
04:59Six by six.
05:00Do you know what's next?
05:01This is the B.
05:02And here, what's next?
05:03A thousand squares.
05:04We arrange the large rectangles.
05:05So who do we have, guys?
05:07This is the B.
05:08This is the B.
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