Hey Everyone I wasnt exactly sure which catergory this fitted by it involves complex analysis so i choose this one Okay my problem is in bold, the other questions i have solved but i just put them up there for background information just incase it was needed:

Using a golden triangle of base 12cm, draw a careful, accurate, neat logarithmic spiral.
Refer to Appendix 1 for the beginning instructions.

* Explain the relationship between Golden rectangle and Golden gnomon in creating this spiral.

* Measure some ratios of sides, how and where does appear in this construction?

* It is sometimes called the Equi Angular spiral. Why?

* Find the length of the spiral correct to the nearest millimetre. Show working.

* When you construct this Golden Spiral, does it pass through a 4th vertex of the pentagon formed from the
Golden Triangle? A reasonable proof must be given.

So we have a provide a reasonable proof that the arc 1 (the large one) does or does not pass through where the 4th vertex would be (the pentagon's point, which is just a Golden Gnomon added onto the side). It is obvious that is does not, but i need a proof :/ I have tried using trig and failed, due to not knowing the angles, i thought about using calculus but didnt think that would work either and im not very good at it yet so i;m not exactly sure about it, so im kinda stumped about this one. The only way i can think of is to measure it which obvious isn't a mathematical proof. Thanks heaps for any help