You are not logged in.
#1 2012-09-09 12:06:19
- Agnishom
- Star Member
Online
Another Triangular Problem
Let there be a Triangle ABC and O a point inside it
Prove that:
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#4 2012-09-09 23:16:44
- Agnishom
- Star Member
Online
Re: Another Triangular Problem
Explain step by step Please.....
How do you get this ---> BO + OC < BP + BC ?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#5 2012-09-09 23:29:50
- bob bundy
- Moderator
Offline
Re: Another Triangular Problem
It's an excellent proof by noemi. I shall humbly try to explain it.
Extend BO until it cuts AC. Call this point P.
In triangle OPC, OC < OP + PC
so
OB + OC < OB + (OP + PC) = (OB + OP) + PC
But B, O and P make a straight line so replace OB + OP with BP
OB + OC < BP + PC
In triangle ABP, BP < BA + AP
so
OB + OC < (BA + AP) + PC = AB + (AP + PC)
But A, P and C make a straight line so replace AP + PC with AC
OB + OC < AB + AC
Brilliant, noemi, 
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#9 2012-09-09 23:54:44
- Agnishom
- Star Member
Online
Re: Another Triangular Problem
Thanks! Thanks! Thanks!
Please see this and tell me if I realised it correct:
Adding OB to both sides,
------> Statement 1
In Triangle ABP:
Adding PC to both sides,
----> Statement 2
From Statement 1 & 2,
Yahoo!
P.S: There was a little bug, I just edited this post
Last edited by Agnishom (2012-09-10 00:05:16)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#11 2012-09-10 02:37:18
- bob bundy
- Moderator
Offline
Re: Another Triangular Problem
noemi wrote:
I agree that I should have been more detailed
You have misunderstood my comment. It wasn't a criticism.
I am in awe because you thought all that in one line.
I had to try to follow each step, spend a while doing that, then re-write it in several steps for my little brain.
I make that 1 noemi brain = 8 times a Bob brain.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#15 2012-09-10 05:15:27
- bob bundy
- Moderator
Offline
Re: Another Triangular Problem
That doesn't seem wise to me.
http://voiceciw.hubpages.com/hub/Most-R … s-The-Ears
I am inclined to 'tell it like it is' or keep schtum.
Perhaps your 'super-ego' will see the wisdom in this.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#16 2012-09-10 05:31:55
- noemi
- Super Member
Offline
Re: Another Triangular Problem
Amen to that article! I'm pleasantly surprised that you've sent it
Actually my point was ..that you were overreacting with compliments.. I know you were joking, but we must be careful with every word..
It's easy to tickle ppl's ears..
but don't worry..I'm not overestimating myself, actually I'm very self critical
Last edited by noemi (2012-09-10 05:32:49)
#17 2012-09-10 22:09:22
- Agnishom
- Star Member
Online
Re: Another Triangular Problem
Is that article about psychology or religion?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#18 2012-09-10 23:35:52
- noemi
- Super Member
Offline
Re: Another Triangular Problem
It's about Bible verses
(2 Timothy 4:3-4)
3 For the time will come when they will not endure sound doctrine; but after their own lusts shall they heap to themselves teachers, having itching ears;
4 And they shall turn away their ears from the truth, and shall be turned unto fables.
Last edited by noemi (2012-09-11 00:09:32)