• 3 weeks ago
Transcript
00:30This is what Sin is doing. Sin is bending, and this is the compass, and this is the compass.
00:38These are the types of drawings that we are going to draw this year.
00:41We used to take a set of compasses and put them in a set, and we kept them with us.
00:46But this time we said that we are going to take them again, and we are going to take these types of drawings with us.
00:50So we learned in the last lesson how to draw a general shape of a compass from the general shape of a compass.
00:55For example, when I tell you that you have a square, how do you draw it?
00:59You don't need to make a schedule like I did.
01:02What did we do? We went to this point, the point in the middle of the earth, and we made it the symbol of an open curve to the top.
01:10We made it an open curve to the top.
01:13We said to it, seven, no, sorry, not seven.
01:15This is how we said to it, the top of its compass is here, so we said to it, an open curve to the top.
01:19And if before Sin you drew a triangle, what?
01:21An open curve to the bottom.
01:23It's exactly the same, but I'll tell you why.
01:25No, it's exactly the same.
01:26So this is how we drew the general shape of the compass Sin squared.
01:30Now, if the compass is Sin squared, we go to the origin point as well, and we make it go up right and down left.
01:39If before it was a mountain, it would go up right like this and go down left.
01:43And if before it was a cross, it would go up left and down right.
01:46And we called it the shining compass.
01:48If it goes up a little bit like this and down a little bit like this, this is the general shape of the compass.
01:53Now, let's take a look at this compass.
01:55This is the easiest one in their drawing.
01:57The easiest one.
01:58This is the point where we make it seven.
02:00And if before it was a mountain, we make it eight.
02:02And we put an axis with it, and this is the one we put an axis with, because this is a straight line.
02:07This is the drawing of our compass, which is the compass.
02:10What else?
02:11We have the broken compass.
02:13The broken one, which is like this.
02:15How do I draw it?
02:17If before it was a mountain, I would draw a triangle here and a triangle here.
02:21And we dealt with it with the shape of the compasses as if they were two parts.
02:26And if before it was a mountain, I would draw the two parts in the form of a quarter, a first, and a second.
02:30Or before it was a cross, a second, and a fourth.
02:33So its drawing takes the form of a quarter, a first, and a third.
02:36Or what is the form?
02:37A second, and a fourth.
02:38So this is how we made our compass drawings.
02:40And we say that you learn them in order to draw in the general shape that you have seen in front of you now.
02:44In the last lesson, I told you how to draw compasses, or how to draw compasses.
02:49And this is the division of the fields.
02:51It is like cutting it.
02:52You put it on the top of the zero, and you put it on the bottom of the zero.
02:55And you separate the parts from each other.
02:57So what does today's lesson talk about?
03:00The scientists of the lesson said that we are going to do something called engineering transformations.
03:06What are engineering transformations?
03:09Look with me.
03:11This is an example.
03:13When you draw a compass, the compass sticks to the zero and the zero.
03:16And it moves like this.
03:18And here it sticks to the zero and the zero.
03:20And here it sticks to the zero and the zero.
03:21And here.
03:22It is represented around the zero and the zero.
03:24So the drawing that we made is drawn from the zero and the zero.
03:27It will have an engineering transformation.
03:30Does this compass still stick to the zero and the zero?
03:34In all our drawings?
03:36No.
03:37What will happen?
03:38Look at this.
03:39We will take this thing and move it a little bit.
03:42Move it a little bit.
03:44Move it away from the zero and the zero.
03:45It will move.
03:46For example, can it move to the right?
03:47It can.
03:48Or to the left.
03:49Or it can go up.
03:50Or it can go down.
03:51Or it can move completely away from the zero and the zero.
03:54So it will have an engineering transformation.
03:57It will have engineering transformations.
04:00What are these transformations?
04:01We will move this part of the compass.
04:03Instead of here, it will move.
04:05It can come here, for example.
04:08Or it can move here.
04:10Or here.
04:11Or here.
04:12Or it can go up.
04:13Or down.
04:14So we can move this part of the compass.
04:16If we find that this part of the compass was here at the zero and the zero.
04:21This is the mother point that we have.
04:23We will break it.
04:24We will break it.
04:25Move it a little bit.
04:26Move it a little bit.
04:27Or, more clearly, we will fix it.
04:30We will fix all the events.
04:32We will fix it in any way.
04:36This is called a horizontal and a vertical displacement.
04:40We will make it a horizontal displacement or a vertical displacement.
04:43So how does this horizontal and vertical displacement look like?
04:46We will describe it.
04:47We will find it here.
04:48We will move it a little bit.
04:49We will move it a little bit.
04:50If this displacement was moved here, for example.
04:53I have a point 2.
04:54How many displacements did you make?
04:56Two units in the direction of the compass axis.
04:59This is called two units in the direction of the compass axis.
05:01And this is called the parallel compass axis.
05:03So we describe it as a sine.
05:05And because it is called a sine, we will call it two units and two units in the direction of the sine.
05:12We will call it in the direction of the sine.
05:14What if we bring it here?
05:15Two units as well.
05:17This is called a sine.
05:18So two units in the direction of the sine.
05:21What if we move it to the 5?
05:24Five units in the direction of the middle.
05:27What if we move it to the 7?
05:29So seven units in the direction of the middle.
05:33These are the displacements that he moves with us.
05:35If you know how to describe the displacements that he moves with you, I know how to describe them.
05:42Tell me, do you have a parallel compass axis?
05:45Do you want to draw it in accordance with the parallel compass axis?
05:49Do you want to draw it in accordance with the parallel compass axis?
05:50Do you want to draw it in accordance with the parallel compass axis?
05:52Do you want to draw it in accordance with the parallel compass axis?
05:54But if he has a three-unit horizontal displacement and a two-unit vertical displacement,
06:01a three-unit horizontal displacement and a two-unit vertical displacement,
06:03how do you want to draw this?
06:05Look, sir.
06:06If I don't know how many units, three units.
06:08And if I know how many units, two units.
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34:52And if I know how many units, two units.
35:00And if I know how many units, two units.
35:08And if I know how many units, two units.
35:16And if I know how many units, two units.
35:24And if I know how many units, two units.
35:32And if I know how many units, two units.
35:40And if I know how many units, two units.
35:48And if I know how many units, two units.
35:56And if I know how many units, two units.
36:04And if I know how many units, two units.
36:12And if I know how many units, two units.
36:20And if I know how many units, two units.
36:28And if I know how many units, two units.
36:36And if I know how many units, two units.
36:44And if I know how many units, two units.
36:52And if I know how many units, two units.
37:00And if I know how many units, two units.
37:08And if I know how many units, two units.
37:16And if I know how many units, two units.
37:24And if I know how many units, two units.
37:32And if I know how many units, two units.
37:40And if I know how many units, two units.
37:48And if I know how many units, two units.
37:56And if I know how many units, two units.
38:04And if I know how many units, two units.
38:12And if I know how many units, two units.
38:20And if I know how many units, two units.
38:28And if I know how many units, two units.
38:36And if I know how many units, two units.
38:44And if I know how many units, two units.
38:52And if I know how many units, two units.
39:00And if I know how many units, two units.
39:08And if I know how many units, two units.
39:16And if I know how many units, two units.
39:24And if I know how many units, two units.
39:32And if I know how many units, two units.
39:40And if I know how many units, two units.
39:48And if I know how many units, two units.
39:56And if I know how many units, two units.
40:04And if I know how many units, two units.
40:12And if I know how many units, two units.
40:20And if I know how many units, two units.
40:28And if I know how many units, two units.
40:36And if I know how many units, two units.
40:44And if I know how many units, two units.
40:52And if I know how many units, two units.
41:00And if I know how many units, two units.
41:08And if I know how many units, two units.
41:16And if I know how many units, two units.
41:24And if I know how many units, two units.
41:32And if I know how many units, two units.
41:40And if I know how many units, two units.
41:48And if I know how many units, two units.
41:56And if I know how many units, two units.
42:04And if I know how many units, two units.
42:12And if I know how many units, two units.
42:20And if I know how many units, two units.
42:28And if I know how many units, two units.
42:36And if I know how many units, two units.
42:44And if I know how many units, two units.
42:52And if I know how many units, two units.
43:00And if I know how many units, two units.
43:08And if I know how many units, two units.
43:16And if I know how many units, two units.
43:24And if I know how many units, two units.