Gavran's latest activity

Thank you very much for all the help and explanation jbriggs444, Chestermiller, Lnewqban, Gavran

Okay. ## c^2=a^2+(2R)^2-2\cdot a\cdot2R\cdot\cos(\angle ADC) ## ## c^2=x^2+b^2-2\cdot x\cdot b\cdot\cos(\angle ABC) ## I want to offer...

@Gavran I presume in your solution that you plugged in ## R=x ##. You then get ## a^2-b^2+3x^2 =2a^2+ab ## so that ## 3x^2=a^2+b^2+ab...

Looking back to the other posts, I see @Gavran also used Ptolemy's theorem previously in post 43, but the post 52 method gets the...

You are right. There is one more approach which is based on the figure from the post #39 and it is simpler than the one I have provided...

Yes it does and this holds in theory. There is not an idealized situation in theory when PB=0 and the syphon works...

The formula is correct.

Related question: Let M be an ## n \times n ## constant matrix, with constant value ##c## and let ##k ## a positive Integer. Is this...

@kuruman Very good. :) Excellent derivation. Between you and @renormalize of post 32, we have a simpler expression for ## R=x ## than...

Using another point as center of the R = 11.0 largest blue circle:

One more approach based on https://en.wikipedia.org/wiki/Cyclic_quadrilateral and the cosine theorem. ## \angle...

https://en.wikipedia.org/wiki/Siphon#Maximum_height

True. P2-P1=ρgh holds when v1=v2, and as you said in the original post, v1 can not be equal to v2, except in the case when v1=0 and v2=0.

Bernoulli's equation P+ρgh+(1/2)ρv2=const is the logic for analyzing statements (ii) i (iii). The statement (ii)...

Thank you very much for the explanation fresh_42, PeroK, Gavran