Activa JavaScript para disfrutar de los vídeos de la Mediateca.
parallel lines and use of setsquares (escuadra y cartabón) - Contenido educativo
Ajuste de pantallaEl ajuste de pantalla se aprecia al ver el vídeo en pantalla completa. Elige la presentación que más te guste:
Uso de escuadra y cartabón para el trazado de paralelas, perpendiculares y ángulos de 30, 45 y 60 grados. Degradados con paralelas.
parallel lines
00:00:00
Perpendicular lines
00:01:57
30, 45 and 60 degrees angles
00:03:45
Gradient 1
00:06:16
gradient 2
00:07:15
Hello, good morning. In this video we are going through a couple of important geometrical
00:00:00
constructions by the use of set squares, as you can see here. The use of set squares necessarily
00:00:06
and mandatorily implies that one is going to always slide on the other. So we are going
00:00:14
to have one that is going to serve as a rail and the other is going to be the train, so
00:00:21
to say. And it can be, of course, be used in this direction, in this other, and also
00:00:28
it can be slipped, as you can see, flipped, I mean, this way. So in the first exercise
00:00:36
we are going to draw a parallel line. Parallel lines. That's going to be our first exercise.
00:00:42
Parallel lines. In that sense, what we are going to do is we are going to draw a random
00:00:53
line like this, OK, and we are going to call it R, for instance, and we are going to draw
00:00:59
a couple of parallel lines to it. As you can see, we are going to line up the line with
00:01:06
one of the set squares and the other is going to stay totally still. So we are going to
00:01:14
be able to draw parallel lines, OK, by moving, by sliding one of the lines. So every time
00:01:21
the set square that we are using, which is in movement, this one, which is the one that
00:01:32
slides, moves, we will have to go back and line it up again, OK. So this is going to
00:01:37
be our first couple of parallel lines. So far so good? Nice. Now we are going to do
00:01:47
some perpendicular lines. And particularly speaking, what we are going to do is we are
00:01:59
going to draw again a random line like this, which is going to be S, and we are going to
00:02:12
draw a point, which is going to be point A. And we are going to draw a perpendicular line
00:02:17
to S that goes through the point A. So far so good. So what we are going to do next then
00:02:26
is we are going to, first of all, place, in this case, the 60 degree one, OK, perfectly
00:02:34
lined up. Then we are going to take the 45, OK, and in this sense what we are going to
00:02:41
do next is we are going to slide slightly the 60 degree one, which is going to be afterwards
00:02:48
the new rail, OK. And according to that, then we are going to take the 45 degree set square
00:02:56
and we are going to be able to draw a perfect 90 degree line, as you can see. And we are
00:03:05
going to mark that one, OK. So if I want to draw more perpendicular lines to S, for instance,
00:03:13
that go through B or through C, it's going to be as easy as, as you can see, just using
00:03:23
the same rail and drawing a couple of perpendicular lines like that or even like this, OK. It's
00:03:32
going to be exactly the same thing. Good. That's going to be our number 2. Let's go
00:03:43
ahead and now let's go, for instance, to number 3, in which we are going to do a couple of
00:03:50
45, 30 and 60 degree parallels, OK. So again, what we do is we draw a random line like this.
00:03:58
We are going to call it M in this case, OK. And then again, we are going to, first of
00:04:15
all, we are going to make ourselves a slightly separated rail, as you can see, and this
00:04:23
is going to allow us to draw 45 degrees parallels. For instance, this one here, 45, we are going
00:04:32
to draw a couple of them, 45, 45, OK. And we are going to mark it, 45 degrees. So far
00:04:42
so good. And now, for the 30 and the 60 degree one, we will need to use this one here, OK.
00:04:52
So we are going to switch the rail, which is going to be the 45 degree one. And we do
00:05:01
exactly the same thing we've done before. We first of all line it up, as you can see
00:05:07
here, and then we are going to separate it a little bit and then we are going to be able
00:05:12
to draw, for instance here, 30 degree, a couple of them. I think I moved it. If I moved it
00:05:21
a little bit, I have to go back and make sure it's lined up again. So, 30 degree ones. OK.
00:05:29
So here I'm going to mark it, 30 degrees. And what about the 60 degree ones? I'm going
00:05:40
to draw them like this here. Again. And, for instance, again. So, here we have 60 degree
00:05:47
ones. So we have a couple of 45, 60 and 30. In this exercise, we are going to draw a parallel
00:06:00
gradient for parallels. Gradient. OK. So we are going to start with the first parallel
00:06:14
gradient, showing you what I mean. So, I'm going to draw first, as you can see, one single
00:06:28
line. And parallel to it, I'm going to draw several parallels, so that the
00:06:35
distance in between these parallel lines is becoming gradually bigger. It's important
00:06:44
to leave enough space in between the ruler and the drawing that we are drawing, and we
00:06:57
shall all the time be able to see what we are drawing. You see what I mean? Good. And
00:07:07
now, we are going to draw a wave. Una ola. And in order to do so, we are going to first,
00:07:13
as you can see, with pencil, very slightly, we are going to draw a double curve, like
00:07:26
this. And we are going to try to draw this same curve, only a couple of centimeters away.
00:07:32
So that this distance needs to, or should be, basically the same everywhere. For instance,
00:07:42
like here, and like that. Let's go a little bit bigger. OK. So, we try to get those distances
00:07:54
as necessary. OK. And as equal as necessary. It's true that we are going to get those lines,
00:08:05
as you can see, not perfectly equal, I mean not totally sharp. That's going to be enough. OK.
00:08:14
And then, as I told you before, we will need to see what we are drawing all the time. What does
00:08:25
it mean? If I start drawing here, this line, and I continue on drawing in this direction,
00:08:33
I'm going to hide, as you can see, with a ruler what I'm drawing. So that is not a good idea.
00:08:39
Therefore, I change the position, so I'm able to see all the time the distance in between the
00:08:46
lines that I'm trying to draw. So here, for instance, these lines are going to be rather
00:08:54
separated. Here we go. I can even leave a lot of separation in between. And then, the moment I
00:09:00
start getting closer to the crest, la cresta, to the crest of the wave, here, I start getting
00:09:11
those lines gradually tighter. OK. Tighter and tighter and tighter. You see? It's exactly the
00:09:23
same principle as we used on the monster, that is, that texture. And now, here, in the inside
00:09:37
of the wave, the parallel lines are going to be even tighter, because there is a shadow,
00:09:44
as you can see. It's the bell ringing here. It doesn't matter. I am going to continue on
00:09:55
drawing. It's perfectly clear that I am in the school right now, in the building. I'm not at home.
00:10:02
And here, I'm committing a mistake. What mistake? Because I'm hiding the drawing,
00:10:12
and that's something we don't want. OK. So, again, make sure you put the
00:10:19
the ruler so that you do not hide, at any moment, what you are drawing. OK. So, again,
00:10:30
let's blend it up, because we continue on drawing some parallel lines, like this.
00:10:38
And here we go. We start getting up. As you can see here, the pattern of parallel lines
00:10:43
is quite different to the inside. And we go up. And here we go.
00:10:52
And gradually, we come closer to the crest of that wave. And here,
00:11:06
now, almost abruptly, the lines are becoming very, very tight,
00:11:18
which allows us to have this feeling, you know, of three-dimensional curvature.
00:11:31
Now, I'm going to erase
00:11:39
the pencil. I don't need that anymore. And if I've drawn those parallel lines
00:11:46
correctly enough, I should be able to see the wave, even though I don't have drawn any outline
00:11:55
at all, as you can see. So, see you in the next video. Thank you so much.
00:12:05
- Idioma/s:
- Autor/es:
- Fernando Briones
- Subido por:
- Fernando B.
- Licencia:
- Dominio público
- Visualizaciones:
- 159
- Fecha:
- 15 de noviembre de 2023 - 9:04
- Visibilidad:
- Público
- Centro:
- IES ALFREDO KRAUS
- Duración:
- 12′ 12″
- Relación de aspecto:
- 1.78:1
- Resolución:
- 1920x1080 píxeles
- Tamaño:
- 618.04 MBytes
