Suppose we take a rectangle and erect equilateral triangles on two of its side, as shown in Fig. 1. Show that pointsC, E and B are the vertices of an equilateral triangle.
Here is my proof: If we draw in the sides of the triangle (Fig. 2) we can see triangles DCE, BEF and DFA all have
a side of length | and one of length ||
an angle of 150 degrees included between those sides.
Consequently the three triangles are all congruent (the same as on another) and DE = EF = FD, so DEF is equilateral as required.
Garden shears. There’s a cutting-edge technology.
I went on a novelty trip, “Follow a day in the life of an Amazon driver”. It was a package tour.
On Saturday went to Audley End in Essex. Very impressive home and parkland x designed I think by capability Brown. Here is the house. More to follow.
According to legend, St Patrick drove the snakes out of Ireland, which gives rise to one of my favourite jokes.
“What did St Patrick say when he drove the snakes out of Ireland?”
“Are ye all right in the back there, Snakes?”
On night two dogs were trying to barge open the kitchen door, hoping to get in and steal some food. But the door was too heavy and so they couldn’t open it.
“I know” said one dog, “Let’s ask the cat to help.”
“What good will that do?” asked the other.
“Well I think we’ll be able to manage it, if Puss comes to shove.”
Lola neeyay loyola.
(“Lola is loyal, Lola in not loyal.” I’ve used English spelling which I hope is a reasonable approximation.)
Here's a tongue-twister I made up.
When my over-oiled overalls need overhauling it falls to my overalls overhauler to overhaul my over-oiled overalls.
Here's my garden robin, obligingly posing for the camera.
What astronomical feat does a barber perform? Eclipse.
What colour is the wind? Blue.
What’s orange and sounds like a parrot. A carrot.
What’s blue and smells like red paint? Blue paint.
What colour lets you into your car? Khaki.
What’s blue and not very heavy? Light blue.
What colour makes you feel bunged up? Gold.
What colour might you get in your side? Fawn.
What colour leaves you stranded? Maroon.
What colour marks 0 degrees of longitude? The Greenwich Veridian.
What colour would you paint a bucket? Pale blue.
These winter aconites were photographed in the grounds of Wimpole Hall.
The plant is a serious poison that can cause cardiac arrest, which I didn't know and which surprised me. Another name for it is 'wolfsbane', apparently because it was once believed to be good for wolf bites.
I've been looking at Midjourney, an Artificial Intelligence that can generate images from short phrases or a group of keywords. Here's what it generated for 'The restaurant at the end of the universe'. It only took a few seconds.
The round tuit (that you haven't got one of).
The jump tuit and the hop tuit.
The up tuit (that you don't fee0.
I thought I was buying jellied eels but it turned out to be a special offers on selected jellies.
At last! After decades of toil in my Alchemical Laboratory, I have found the Elixir of Life.
Turns out to be a thin watery soup, which I’ve named The Holy Gruel.
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