Question

This one... Square inside a circle is killing me.

http://www.euclidea.xyz/en/game/#/packs/Alpha/level/SquareInCircle

I can get it down to 8E

Answer 1

I know @Miracrown has the answer

Answer 2

If it will load for me >.<

Answer 3

I drew a line from the top point through the center to the other side of the circle.
I then drew a perpendicular bisector the same way.

Answer 4

I got 6L 8E

Answer 5

Wait this confuses me. Are we supposed to get it lower than 8E?

Answer 6

!! Damn! I am so close to that I was just looking at this thinking that extra circle instead of a line, inspired by this: http://www.euclidea.xyz/en/game/#/packs/Delta/level/CDoubleSeg

Awesome wow that's crazy. What was your strategies or ideas when solving this? :O

Answer 7

I absolutely hate this game. I've never been this addicted to geometry my whole life.

Answer 8

This time I got 6L 10E

Answer 9

Hahaha me either, I had to drag you down with me :P

Answer 10

http://prntscr.com/alemq2

Answer 11

I asked that question the other day and @Miracrown got frustrated and deleted my question !

Answer 12

I drew two bisectors first and then connected the endpoints.

Answer 13

hahaha xD

Answer 14

i think @Miracrown has a proof for this
she deleted the question before i get a chance to read her replies the other day

Answer 15

can't you see the deleted questions in the database somehow??

Answer 16

if you're pooper peeved jay

Answer 17

I think I see why this construction works now. There are these two very strange lines, but since they're part of that big circle it forms a right angle where we need it.

I think I'm starting to develop a systematic way to attack these puzzles, like scanning each circle for a diameter which gives us a right angle anywhere we like, pretty nifty

Answer 18

how do you know that A, B and that yellow point are collinear ?

Answer 19

I wish that the drawing tools on here worked the same way they do in that game, that would make this SO much easier. Or at least just the circle tool.

I don't know why exactly, I need to get out of bed off my laptop and sit at a desk to work it out I think.

Answer 20

ganeshie is literally a geometry god

Answer 21

that makes me the goddess xD

Answer 22

I know a way to embed geogebra inside the openstudy drawing tool
but it would be considered hacking as it injects code dynamically on the client side w/o the permission of the site owner

Answer 23

Oh this wouldn't be considered just an add on since it's client side?

Answer 24

http://openstudy.com/users/rational#/updates/556b0994e4b0c4e453f97040

Answer 25

it cannot be just an addon because it must run for everybody that comes to your question
not just the actual poster...

Answer 26

Hmmm... Well instead of Geogebra how about just making the add on simply change the way circles are drawn so that when you click and drag it starts from the center instead?

Answer 27

there is no "drag" feature in the openstudy drawing tool
so it needs to be implemented to make constructions less painful yeah

Answer 28

circle tool actually draws an ellipse based on the top-left and bottom-right chosen window

Answer 29

that uses `drag` method, so i guess we need to override this cleverly to be able to move drawings

Answer 30

here i have implemented drag feature to play chess
http://openstudy.com/users/rational#/updates/55606767e4b07daafb7d51ee

that can be tweaked further to make it more general... but i had to ditch that as i got busy with other things...

Answer 31

I've never really messed around with changing stuff on a website so I don't know what I'm doing but I can figure out how to inspect element and change the parameters to move the ellipse around on the canvas and scale it to make a circle.


Does JS have sine and cosine built in? I would like to try to figure out how to make it so that it set the height and width from that info. Mathematically speaking I'm thinking we have the origin at the top left, then we can make circles by the regular circle method by using something along the lines of:

radius = sqrt((clicked_x - dragged_x)^2 + (clicked_y - dragged_y)^2)

so the top left corner would be

left = clicked_x - radius
top = clicked_y - radius

Answer 32

Yeah editing the canvas doesn't even change what it looks like when I send it anyways, so it doesn't look like a circle anymore haha. Oh well.

Answer 33

yeah, we need to update the JSON data before hitting submit

Answer 34

Math.sin
Math.cos

Answer 35

Math library has almost all the regular functions...

Answer 36

Well turns out I don't really need it anyways, since pythagorean theorem doesn't require angles. I have no idea how to do any web development stuff so I'll probably not do anything unless I get particularly inspired lol

Answer 37

its very boring compared to math,
imo webdesign is timewaste

Answer 38

you don't learn anything thats useful in longterm

Answer 39

radius = sqrt((clicked_x - dragged_x)^2 + (clicked_y - dragged_y)^2)

so the top left corner would be

left = clicked_x - radius
top = clicked_y - radius

That's what I'll try to figure out how to make work, since it gives the change of coordinates to make your clicks give the circle in terms of the top left corner even though you click from the center to the radius to create.

Yeah I agree, that's why I haven't done any web stuff lol