Proof of Excircle at Triangle's Intersection Pt

  • Thread starter Thread starter Grout
  • Start date Start date
  • Tags Tags
    Triangle
Grout
Messages
1
Reaction score
0
This is just a curiosity from my part: Has anyone know the proof of "Intersection of one internal angle bisector and two external angle bisectors of triangle is the center of an excircle."? I tried some things, but no luck.
 
Mathematics news on Phys.org
Have you tried google?
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
4
Views
2K
Replies
7
Views
2K
Replies
59
Views
2K
Replies
3
Views
2K
Replies
1
Views
6K
Replies
1
Views
2K
Replies
6
Views
2K
Back
Top