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/sci/ - Science & Math

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4988127 No.4988127 [Reply] [Original]

An <span class="math">n[/spoiler]-gon has all angles equal and the lengths of consecutive sides satisfy <span class="math">a_1\ge a_2\ge\ldots\ge a_n[/spoiler]. Prove that all the sides are equal.

>> No.4988144

well its kinda obvious that with all equal angles, the polygon is regular, so all sides must be equal as well, rite?

>> No.4988150
File: 20 KB, 178x254, 1344268729720.jpg [View same] [iqdb] [saucenao] [google]
4988150

they are back

>> No.4988154

Do your own homework.

>> No.4988168

>>4988162
>implying you need a sticky
>implying you cant just bookmark the thread yourself if you wanna participate.

>> No.4988162
File: 37 KB, 509x619, 339192-i-know-that-feel-bro-to-uczucie-to-ucz%C3%B3cie.jpg [View same] [iqdb] [saucenao] [google]
4988162

>>4988150
no sticky

>> No.4988171

>>4988162
>implying the problem hasn't been solved by EK

>> No.4988176

>>4988144
you're such a fucking retard

>> No.4988181

>>4988176
You're just jelly cuz she solved it faster than you.

>> No.4988191

>>4988162
You should use the catalog:
http://catalog.neet.tv/sci/

>> No.4988196

>>4988162
iktfb

>>4988168
doesnt matter, it was one thing about the board culture that isnt utter shitposting

>> No.4988204
File: 5 KB, 640x400, ek is wrong.png [View same] [iqdb] [saucenao] [google]
4988204

>>4988144

>> No.4988229

>>4988204
>the lengths of consecutive sides satisfy a1a2an.

>> No.4988235

>>4988229
He's just showing that EK is retarded, not a solution to the problem.
>thinking a solution would be a picture

>> No.4988242

>>4988229
he was probably proving EK retarded
>well its kinda obvious that with all equal angles, the polygon is regular, so all sides must be equal as well, rite?

>> No.4988240

>>4988171
>>4988181
see >>4988204

>> No.4988247

my intuition: start drawing the n-gon and the regular n-gon with sides a1 at the same time. if for some k ak<a1 the first n-gon is going to start being inside the regular n-gon, with corresponding edges parallel to each other. yet, at the end they have to touch at the starting point, contradiction.

>> No.4988253

>>4988247
woops, the first n-gon isnt necessarily inside it at all times. but that doesnt ruin the continuation, i think