Good morning Buddies 
Sometimes sunny, sometimes cloudy but should remain dry for the day 
Have a nice day everyone
@El Loro posted:Independent news item today:
https://www.independent.co.uk/...ctures-b2396476.html
with the headline "Mysterious hidden structures hundred of metres deep discovered on dark side of the Moon"
The headline is more interesting than the news item though so nothing like a monolith
Well there's something I didn't know......that the moon was originally a piece of the Earth. 
Maybe these structures are an ancient ancient Stonehenge 
@slimfern posted:Well there's something I didn't know......that the moon was originally a piece of the Earth.
Maybe these structures are an ancient ancient Stonehenge
That's the standard hypothesis but there are others:
https://en.wikipedia.org/wiki/Origin_of_the_Moon
@El Loro posted:That's the standard hypothesis but there are others:
https://en.wikipedia.org/wiki/Origin_of_the_Moon
Wow! there's a lot there to understand 
@El Loro posted:That's the standard hypothesis but there are others:
https://en.wikipedia.org/wiki/Origin_of_the_Moon
interesting but complicated -fascinating though EL -thank you
@El Loro posted:Independent news item today:
https://www.independent.co.uk/...ctures-b2396476.html
with the headline "Mysterious hidden structures hundred of metres deep discovered on dark side of the Moon"
The headline is more interesting than the news item though so nothing like a monolith
wow didn't know that EL but agree re headline 
Lead us into winter. This summer has been dismal.
A spotless giraffe born at Bright's Zoo in Tennessee:
https://www.youtube.com/watch?v=nF35gXJ10Qc
@El Loro posted:A spotless giraffe born at Bright's Zoo in Tennessee:
https://www.youtube.com/watch?v=nF35gXJ10Qc
Isnât that giraffe absolutely gorgeous? What a beauty âĪïļâĪïļâĪïļ
@El Loro posted:A spotless giraffe born at Bright's Zoo in Tennessee:
https://www.youtube.com/watch?v=nF35gXJ10Qc
He's a cutie alright
@El Loro posted:A spotless giraffe born at Bright's Zoo in Tennessee:
https://www.youtube.com/watch?v=nF35gXJ10Qc
awwwww gorgeous-love it -thank you EL
night EL slim moonsieee velvet
Another maths poser on Youtube:
https://www.youtube.com/watch?v=XcjHFbBlacs
Poser is what is x where 5 to the power of (x plus 3) added to 5 to the power of (x plus 6) equals 126.
It's a poser which. if you know your maths, is easy enough to work out what x is in a few seconds in one's head.
@El Loro posted:Another maths poser on Youtube:
https://www.youtube.com/watch?v=XcjHFbBlacs
Poser is what is x where 5 to the power of (x plus 3) added to 5 to the power of (x plus 6) equals 126.It's a poser which. if you know your maths, is easy enough to work out what x is in a few seconds in one's head.
ðĪ pass. Maths never was my best subject 
@Moonie posted:Nope, sorry
No need to apologise, Moonie
Maths was by far and away my best subject as school. I failed my English and my English Literature O levels first time at school and had to retake the, When it comes to foreign languages I am incompetent at any of them.
@El Loro posted:No need to apologise, Moonie
Maths was by far and away my best subject as school. I failed my English and my English Literature O levels first time at school and had to retake the, When it comes to foreign languages I am incompetent at any of them.
Now woodwork and metalwork I was good at
Iâve still got things I made at senior school, which is more years ago than I care to remember 
@Moonie posted:Now woodwork and metalwork I was good at
Iâve still got things I made at senior school, which is more years ago than I care to remember
I've mentioned before about getting a book prize for getting the top marks at school for a Shakespeare quiz we did during the Easter break, On the day the prizes were to be handed out, for some reason I was in the school workshop where they did woodwork classes (not that I was in one of those classes) and managed to cut one of my finger tips with a Stanley knife. Dashed off to where the school nurse was to get bandaged up once the blood had stopped. So there's me getting the prize with a bandaged finger, having my photo taken, with the photographer motioning towards me for some reason. Turned out that I was holding the book upside down
Still got the book and the scar can still be seen after all these years.
@El Loro posted:I've mentioned before about getting a book prize for getting the top marks at school for a Shakespeare quiz we did during the Easter break, On the day the prizes were to be handed out, for some reason I was in the school workshop where they did woodwork classes (not that I was in one of those classes) and managed to cut one of my finger tips with a Stanley knife. Dashed off to where the school nurse was to get bandaged up once the blood had stopped. So there's me getting the prize with a bandaged finger, having my photo taken, with the photographer motioning towards me for some reason. Turned out that I was holding the book upside down
Still got the book and the scar can still be seen after all these years.
El, thatâs a gem
Iâm pleased you got your prize, upside down or not 
night EL slim moonsieee
Here's a poser we were given at school.
It's known as Morley's trisector theorem.
For any triangle, trisect each of the 3 angles M, O, R. That means to split each angle into 3 equal angles so M is split into 3 alphas (Îą), O into 3 betas (Îē) and R into 3 gammas (Îģ).
When Îą and Îē meet on the left side is point L. Where Îą and Îģ meet on the bottom side is point E. Where Îē and Îģ meet on the right side is point Y.
Draw straight lines from L to E, from E to Y and from L to Y to make a new triangle,
The poser is to prove that for any triangle MOR, the small triangle LEY is always an equilateral triangle, i'e. the lines L to Em E to Y and L to Y are the same length and each angle is 60 degrees.
Describing the poser is one thing. Trying to prove it is far harder. I did attempt it many years ago and gave up..
@El Loro posted:Here's a poser we were given at school.
It's known as Morley's trisector theorem.
For any triangle, trisect each of the 3 angles M, O, R. That means to split each angle into 3 equal angles so M is split into 3 alphas (Îą), O into 3 betas (Îē) and R into 3 gammas (Îģ).
When Îą and Îē meet on the left side is point L. Where Îą and Îģ meet on the bottom side is point E. Where Îē and Îģ meet on the right side is point Y.
Draw straight lines from L to E, from E to Y and from L to Y to make a new triangle,
The poser is to prove that for any triangle MOR, the small triangle LEY is always an equilateral triangle, i'e. the lines L to Em E to Y and L to Y are the same length and each angle is 60 degrees.Describing the poser is one thing. Trying to prove it is far harder. I did attempt it many years ago and gave up..
Frank Morley....now there's a man with too much time on his hands
It's easy to see when explained...
@slimfern posted:Frank Morley....now there's a man with too much time on his hands
It's easy to see when explained...
Although we were told about this at school,it wasn't part of the syllabus and we weren't told about how to prove it.
There are youtube clips on various ways it's been proved but one would need to be a mathematician to be able to understand them.
night EL sl
@El Loro posted:Here's a poser we were given at school.
It's known as Morley's trisector theorem.
For any triangle, trisect each of the 3 angles M, O, R. That means to split each angle into 3 equal angles so M is split into 3 alphas (Îą), O into 3 betas (Îē) and R into 3 gammas (Îģ).
When Îą and Îē meet on the left side is point L. Where Îą and Îģ meet on the bottom side is point E. Where Îē and Îģ meet on the right side is point Y.
Draw straight lines from L to E, from E to Y and from L to Y to make a new triangle,
The poser is to prove that for any triangle MOR, the small triangle LEY is always an equilateral triangle, i'e. the lines L to Em E to Y and L to Y are the same length and each angle is 60 degrees.Describing the poser is one thing. Trying to prove it is far harder. I did attempt it many years ago and gave up..
complicated but interesting EL-
night EL slim moonsieeee