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Anatoly

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Bit more maths

Hi, till next Saturday I need to proof this:

1) If you split any n-angle with diagonals (they don't cross each other) you will receive always n-2 triangles.

2) Every segment within a parallelogram, crossing the centre of the figure will be split in the centre by 2.

3) 2 exact four-angles have been located to touch each other with one same segment. Proof that the other 3 segments of the four-angles will be parallel within each other.

4) In a hexagon two pairs of parallel and equal segments exist. Proof that the last pair is also equal and parallel and that all diagonals will meet in one point.

Ratburntro44

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Joined: 1970-01-01

Posts: 1,383

Website

Re: Bit more maths

1) Think about what happens if you add a diagonal, and use induction to formalize it. Particularly, consider that any other diagonal added (since they don't cross each other) must be splitting one of the 2 shapes that the original one has been divided into.

Anatoly

Guest

Re: Bit more maths

1) Think about what happens if you add a diagonal, and use induction to formalize it. Particularly, consider that any other diagonal added (since they don't cross each other) must be splitting one of the 2 shapes that the original one has been divided into.

If I add a diagonal in any n-angle i will have 2 new forms: k-angle and (n-k)-angle but that doesn't help me.

Emma333

Member

From: The Netherlands

Joined: 2015-04-16

Posts: 589

Re: Bit more maths

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Pm me with anything math related please

Ratburntro44

Member

Joined: 1970-01-01

Posts: 1,383

Website

Re: Bit more maths

1) Think about what happens if you add a diagonal, and use induction to formalize it. Particularly, consider that any other diagonal added (since they don't cross each other) must be splitting one of the 2 shapes that the original one has been divided into.

If I add a diagonal in any n-angle i will have 2 new forms: k-angle and (n-k)-angle but that doesn't help me.

It's actually going to be (k+1) and (n-k+1); the diagonal you added is also a side to both of these. Given this, and assuming the proposition holds true for the smaller ones, you get those to split into (k-1) and (n-k-1) triangles. This adds up to (n-2), no matter how you did the initial diagonal. Think about how that step can be used to prove it.

mrjawapa

Corn Man 🌽

From: Ohio, USA

Joined: 2015-02-15

Posts: 5,840

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Re: Bit more maths

Literally who gives a ****

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Discord: jawp#5123

N1KF

Wiki Mod

From: ဪဪဪဪဪ From: ဪဪဪဪဪ From: ဪဪဪဪဪ

Joined: 2015-02-15

Posts: 11,161

Website

Re: Bit more maths

Literally who gives a ****

Literally everybody who uses a toilet.

Pingohits

Banned

From: aids lizard

Joined: 2015-02-15

Posts: 7,591

Re: Bit more maths

Literally who gives a ****

Literally everybody who uses a toilet.

some people use toilets as salad drainers

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Onjit

Member

Joined: 2015-02-15

Posts: 9,710

Website

Re: Bit more maths

Literally who gives a ****

Literally everybody who uses a toilet.

Are you trying to tell me that people that dont use a toilet dont ****?

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:.|:;

XxAtillaxX

Member

Joined: 2015-11-28

Posts: 4,202

Re: Bit more maths

Literally who gives a ****

Literally everybody who uses a toilet.

Are you trying to tell me that people that dont use a toilet dont ****?

The cultured people of India have designated **** streets and public beaches.

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*u stinky*

TaskManager

Formerly maxi123

From: i really should update this

Joined: 2015-03-01

Posts: 9,465

Re: Bit more maths

Literally who gives a ****

Literally everybody who uses a toilet.

Are you trying to tell me that people that dont use a toilet dont ****?

i **** you not

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Gosha

Member

From: Russia

Joined: 2015-03-15

Posts: 6,212

Re: Bit more maths

The cultured people of India have designated **** streets and public beaches.

Also India is famous for it's great mathematicians! How cool we got back on topic

SirJosh3917

Formerly ninjasupeatsninja

From: USA

Joined: 2015-04-05

Posts: 2,095

Re: Bit more maths

Also India is famous for it's great mathematicians! How cool we got back on topic

Compare the amount of woots from you to everybody else that made jokes :c

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