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Polygons radiation - Contenido educativo

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Subido el 22 de abril de 2024 por Publio P.

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on this video we are going to solve the polygons radiation this is an a4 page 00:00:02
and we are going to start with the lowest part of the page okay so you have to measure 00:00:09
20 millimeters here 20 and 20 on the other side of the page this is the 00:00:22
bottom part of the page okay so if we connect these two marks these two marks 00:00:38
there and there we will get some horizontal line you can see okay a 00:00:50
parallel line to the bottom of the page there we have to place the midpoint the 00:01:01
midpoint in this case in this kind of page a4 this is 21 21 so the midpoint is going to be 10.5 00:01:06
105 millimeters that's the midpoint and we are going to measure 23 to each side 00:01:20
23 to one side to the left and 23 to the right be precise please this is a and that's b 00:01:35
good we are going to start so this is the segment and this segment is going to be 00:01:49
shared as a side with all the polygons all together okay so this is the segment and we 00:02:01
are going to draw now the triangle for drawing the triangle you take with the compass the whole 00:02:10
segments a b there a b and draw um the same with the same radius a b to the other side okay 00:02:18
so that's the solution for the equilateral triangle i will draw it later now 00:02:39
this point we are going to call six that's going to be six 00:02:52
okay and now you're going to draw placing with keeping a b as a measurement okay it's a radius 00:03:02
this distance now you place the compass on six and draw the circumference that that 00:03:11
circumference that pass through a and b sorry about that a and b here i have a problem 00:03:19
with the compass okay so that's the hexagon be careful with this kind of mistakes okay having 00:03:38
some troubles with my compass on my own okay so if you can adjust the compasses 00:03:49
you can make these screws tighten okay so this is harder to move good so once you have this 00:03:56
you have the two arches you have the circumference so this is going to be half the hexagon we already 00:04:07
did this on the polygon on the circumference division and worksheet so now you're going to 00:04:17
measure a b to take this measure a b okay that's a b and from this point sorry from this point 00:04:26
on you transport a b and from this other point you do the same okay so we are just transporting 00:04:44
this measurement one two times three times and four times we already have a b and that 00:04:58
the rest is going to complete the hexagon now we are going to connect the dots okay 00:05:11
so this is the hexagon be precise connect exactly with the point okay you don't need to invent 00:05:20
anything here you just connect the points you placed that's the hexagon okay so that's the 00:05:44
hexagon and you are going to draw also the the equilateral triangle this is the 00:06:01
equilateral triangle AB6 so equilateral triangle and hexagon now 00:06:11
you're going to connect six with M okay so if you connect six with M you will 00:06:22
divide the page into half okay so you will draw this vertical axis line so we 00:06:42
have connected 6 with M okay great and now the point where the arc crosses that 00:06:55
vertical line we are going to call 12 that's going to be 12 this is going to 00:07:14
be the center of the dodecagon dodecagon okay 12 sides dodecagon and um good now we are going to 00:07:20
continue with the square for placing the number four center um we are going to need the square 00:07:38
okay this ruler this ruler is the square not this one okay this is the bevel we need this one 00:07:47
okay so with this square you can also do this to keep the angle or even if your tip is rounded or 00:07:57
not so clean or broken or whatever you can also place this ruler here on top and move the square 00:08:14
till you have the 45 degrees angle placed on a so once this line is on a you can take it out 00:08:23
one minute okay so you can take this out and draw the angle okay so there you have the 45 00:08:35
degrees this point is going to be number four great and now once you have number four placed 00:08:50
and we need number five okay so for number five we are going to draw the segment by sector of four 00:09:04
six okay so the midpoint we're going to place this midpoint for placing this you need 00:09:16
the compass and you're going to draw i'm going to erase this a little bit because i don't need 00:09:25
this arc to be longer 00:09:36
Okay 00:09:40
So from six and from four 00:09:42
You're going to draw a couple of arches with any radius. So from six 00:09:46
with one radius and 00:09:54
From six 00:09:57
to the other side with the same radius 00:09:59
and we are going to keep the radius from 4 oh sorry and from 4 to the right to 00:10:02
the left okay again with any radius of your choosing you just draw from 00:10:15
from four one and two and from six one and two so they cross each other into two points 00:10:26
we are going to place those points exactly this point and this sorry about the light 00:10:37
and that other point you have to be precise here and if you connect these two points you 00:10:49
will place the midpoint exactly in order to keep the cleanliness we are going to 00:11:03
mark only these two segments and only the midpoint that is going to be point 00:11:10
five okay now is the moment to draw the square on the pentagon okay first the 00:11:21
square for the square okay all the circumferences we are going to draw and 00:11:32
pass through a and B so first circumference from four passing through 00:11:42
a and b sorry okay so that's it okay that's a conference oh my god sorry okay sorry about that 00:11:58
um the compass is really not in the best situation okay so this is a circle center four 00:12:12
this one passing through a and b okay oh sorry okay sorry about that again 00:12:24
um center four passing through a and b great and now we need right angles for for drawing 00:12:33
right angles you need the square or the bevel square or bevel so you place on a on b for example 00:12:43
passing through okay so passing and crossing this arc the arc four center four and you do the same 00:13:02
with a okay you will see there is a coincidence there so here 00:13:17
this arches almost pass near through these points okay these points we are going to mark 00:13:30
and we are going to connect and by doing that you have the square okay that's the square 00:13:42
center four passing through ab perpendicular lines and correct now the pentagon 00:13:54
all the polygons the good part of all polygons is that we can use this axis to get the top point 00:14:02
so first draw the circumference center five again passing through a and b 00:14:13
so there center 5 sorry center 5 a and b so we draw the circumference for the pentagon okay 00:14:24
okay center 5 and this is going to be the top vertex of the pentagon because it's an 00:14:53
other pentagon okay and now we are going to transport a b this is a b i'm going to zoom 00:15:02
in a little bit okay so we take a b there a b and transfer it to the circumference center five 00:15:16
there from a so this is a b there and this is a b there okay this is really really close 00:15:35
really close to the arc here okay let's see a little bit lower okay 00:15:50
to the arc of the hexagon okay here is a little bit lower great so check that you have 00:16:00
the top vertex and here again we have transport we have transported this distance a b again a b 00:16:10
here and from b you do the same there okay so ab here ab there and now we are going to connect 00:16:27
the pentagon great so we have the triangle square pentagon and hexagon good let's continue 00:16:40
now we are going to draw the dodecagon for it that is the biggest one okay so don't be scared 00:17:13
because this is the bigger your drawing is going to get you're going to place the compass on 12 00:17:23
and pass through a and b again so you draw a very big circumference so 00:17:29
that's it 00:17:45
ok, so this is the idea 00:17:48
you place the compass 00:17:54
on 12, there 00:18:00
and draw the arc around 00:18:05
passing through A and B 00:18:10
as always 00:18:13
centre 12, passing through A and B 00:18:15
that's the dodecagon 12 sides so now we are going to transport this distance okay 00:18:22
on the contour of the circumference so from b you take the distance one two 00:18:37
1, 2, 3, 4, and 5, and here you do the same from A to the left, so AB, 1, 2, 3, 4, 5, great, 00:18:48
Here, I have, well, a mistake, okay? Normally, if you do it right, and you calculate the 12 with accuracy, and do everything right, this distance should be AB. 00:19:23
you can see here mine is not okay it's shorter and okay have that in mind your polygon needs to be 00:19:44
again 12 sides okay so i'm going to draw the 12 sides the 12 sides so you can see 00:19:54
okay so this is me connecting the dots connecting the points for getting a blue 00:20:05
dodecagon with side AB again this is wrong okay this distance should be 00:20:18
longer but you have a general idea about what you should do okay okay so this is 00:20:30
the dodecagon 12 sites good so this is me just i have colored everything out so you can see the 00:20:59
difference between the different polygons okay this is the radiation of the polygons okay and now 00:21:10
we have reached the tricky part because we now we have to place the rest of the sensors okay 00:21:19
and and we are going to divide this distance from 6 to 12 into six parts so we we will get 00:21:27
the centers we need for doing that we are going to apply thales theorem and pay attention because 00:21:35
this is not not difficult but you have to understand so i'm going to use for example 00:21:44
this beautiful green color so this distance this distance 12 6 we are going to divide into six okay 00:21:52
so for dividing any any segment into equal parts we need a line in any direction it doesn't matter 00:22:08
if you have an obtuse angle or acute angle okay in order to keep here cleanliness and so on we are 00:22:17
going to use for example this line okay that line in any direction any direction okay and we are 00:22:26
going to measure there I'm going to zoom in a little bit the same six distances 00:22:37
okay you can guess that we are going to use centimeters because they are easy to 00:22:47
get okay but you can use any distance so from 12 you measure one two 00:22:53
two three four sorry four five and six that's it okay from 12 in any direction this line you can 00:23:03
do it here too okay and that's the distance this we don't need okay we could erase it and now 00:23:17
we are going to connect the sixth division with 0.6 like this like this okay so this 00:23:28
we connect with six okay great and now we are going to draw parallel lines very carefully 00:23:46
so the ruler doesn't move the rulers don't move i'm going to zoom out a little bit okay so i want 00:23:59
to copy this line you place the ruler there and you place this other one beside okay very close 00:24:12
tightly and now you are going to move this one this stays in place so move it and draw 00:24:23
move it and draw be careful that the rulers doesn't move not one of them 00:24:34
if they move start again please and move 00:24:45
okay so you can see they are parallel and they keep the distance between each 00:24:53
other the thales theorem application is based on the fact that if these 00:25:00
distances are the same these distances are going to be the same too okay but we 00:25:09
didn't know that ones okay so you start with these ones that we know that we 00:25:16
know they are one centimeter apart and using that and connecting this with this 00:25:22
this is really important the last division with six and keep the parallels 00:25:29
going so you divide this into the same distance okay good once you have that 00:25:34
you can name the points the centers okay so you can guess that this is going to 00:25:43
be seven eight nine ten and twelve and the rest of the procedure is really 00:25:53
really easy because now i think you you got it already now you are going to draw 00:26:08
circumferences on each of the centers and transport ab distance into the contour of 00:26:16
the circumferences okay so we are going to keep doing one well one for the moment so you can see 00:26:25
For example, the heptagon, okay, is the following one, 7, heptagon, okay, I'm placing here in 7, 7, from 7 to A, or B, it doesn't matter. 00:26:35
and we draw the circumference i'm zooming out we draw the circumference 7ab okay no there okay so 00:26:52
7 from 7 to a and on that contour this is an odd again polygon so this is going to be the top 00:27:13
vertex that point and we are going to transport three times okay so 00:27:26
this is a b you transport the circumference the distance sorry the segment on the circumference 00:27:40
seven one time two time oh sorry okay again so circumference center seven you take the distance 00:27:48
a b a b and from b you take the distance one and two okay you have to cross the there the 00:28:03
circumference forget about the phallus procedure okay focus on that point and from from a we do 00:28:22
the same a and b okay a and b a and b so now we are going to mark the points and connect them okay 00:28:31
so we are going to use for example another type of color so this is the 00:28:53
the heptagon, seven sides, okay, that the heptagon, great, now we are doing the same with the rest of 00:29:00
the polygons, okay, so this is the hexagon, sorry, the octagon, center eight, the nonagon, 00:29:43
nonagon center nine nonagon nonagon and so on good so here you can see 00:29:58
all the circumferences all the radiation of circumferences okay so from eight this is eight 00:30:17
nine ten and eleven circumferences okay the biggest one is 12 good and now the idea is to 00:30:31
transport this measurement okay having in mind that you don't have to mistake one circumference 00:30:42
from another okay so something you can do is that the first arc this one you can use 00:30:49
for all the circumferences 00:30:59
because this center is the same for all of them 00:31:05
so you can use this one 00:31:09
the first one you did for the triangle 00:31:13
you can continue here 00:31:17
and continue there 00:31:22
so you will get all the points marked 00:31:26
on one direction and on another okay i'm going to zoom in a little bit so you can see 00:31:31
okay so this arc you can continue this arc you can continue and you cross each other 00:31:38
you cross through sorry all these 00:31:46
circumferences that pass through a and b okay a and b this should be cleaner 00:31:51
and here the same and and now you have to continue transporting the a b measurement 00:32:01
on the contour of each of the circumferences so you have to be really really tidy you have to be 00:32:12
really really clean and you shouldn't confuse one circumference from each other okay for another 00:32:19
sorry and so we are going to transport a b again a b on the contour of the octagon okay so again 00:32:28
from B sorry so this you already have but you have now you have to use a point and you transport 00:32:45
very carefully on the contour one and two and from a you do the same from this point that one 00:33:05
that one and don't mistake one circumference from another okay so again you transfer this distance 00:33:20
on the circumference whose center is eight okay it's that one and you keep doing the same on nine 00:33:40
this one on 10 this one and on 11 okay okay so that's the contour of the 00:33:51
octagon I'm just connecting here the dots this is another dot and that's 00:34:02
another dot okay okay now I'm transporting the distances on the 00:34:15
different circumferences so if you are clean enough you don't mistake one 00:34:26
polygon for another okay so for example in here in this console we already did 00:34:33
this is the nonagon and from these points I'm going to trace the decagon 00:34:44
okay and finally here I'm going to draw the undercargon 11 sides okay and we do 00:34:55
the same here there this is AB all the time remember all the time AB on the 00:35:12
odd polygons we can mark the top points of the undecagon on the nonagon okay the 00:35:24
heptagon I already have and now I am going to draw if it's clearer for you 00:35:36
we can mark the points and connect them okay so maybe it's easier for you if you 00:35:45
mark the points before drawing so you don't make mistakes so that's for the 00:35:56
nonagon nine sides decagon ten sides this should be longer okay and the last 00:36:07
one is the undecagon 11 sides okay I'm going to connect everything out I will 00:36:26
show you so here it is this is the end of the polygons radiation okay if you 00:36:49
reach this point is because you did it so congratulations and if you want to or 00:37:01
need to review any part you can go back you can pause or ask the teacher if you 00:37:10
have any doubts okay so that's it this is the radiation of all the polygons 00:37:18
that's the general view I already told you there are some minor mistakes here 00:37:26
okay this should be bigger in this two especially okay but in general this is 00:37:37
the the general view of the of the polygons have in mind that i get transported i insist 00:37:47
the a b side into the different circumferences that pass through a and b and have centers on 00:37:55
all these points all these divisions you have here okay great thanks for listening and see you soon 00:38:06
Idioma/s:
en
Idioma/s subtítulos:
en
Autor/es:
Publio Pérez Prieto
Subido por:
Publio P.
Licencia:
Reconocimiento - No comercial - Sin obra derivada
Visualizaciones:
196
Fecha:
22 de abril de 2024 - 22:07
Visibilidad:
Público
Centro:
IES PEDRO DUQUE
Duración:
38′ 21″
Relación de aspecto:
1.78:1
Resolución:
1920x1080 píxeles
Tamaño:
814.51 MBytes

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