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#5 Re: Dark Discussions at Cafe Infinity » Words that contain AEIOU, in any order, each vowel exactly once » 2016-11-02 09:57:12

Nehushtan wrote:
JaneFairfax wrote:

UOAIE
buoyancies
customaries
fluvoxamine
plutocracies
unconstrained
uncontradicted
unobtained
unordained
unorganized
unpolarized

JaneFairfax wrote:

Thanks to last night’s “University Challenge”, I have found a new word for UOAIE: unsportsmanlike. Cheering.gif

glucosamine

sulphonamide

#6 Re: Dark Discussions at Cafe Infinity » Words that contain AEIOU, in any order, each vowel exactly once » 2016-10-17 20:46:46

Olinguito wrote:
JaneFairfax wrote:

UAIOE
glutathione
quadripole
ultraviolet

unfashioned

mustachioed

#7 Re: Dark Discussions at Cafe Infinity » Words that contain AEIOU, in any order, each vowel exactly once » 2016-10-04 10:05:04

JaneFairfax wrote:

UEAIO
cupellation
numeration
putrefaction
rubefaction
ulceration

nucleation

#8 Re: Guestbook » Rainbow » 2016-08-20 03:24:16

Notice that the sky is darker above a rainbow than below it. Why? https://www.youtube.com/watch?v=xkDhQGXqwCM.

#9 Jokes » Science Wars » 2016-07-28 22:45:44

Nehushtan
Replies: 3

Physics, Chemistry, Biology, Mathematics – which one is best?

May the mass times acceleration be with you

#12 Re: Puzzles and Games » "Cars Across the Desert Puzzle" » 2016-07-13 14:40:24

wintersolstice wrote:

That was my solution as well.

#14 Re: Guestbook » Rainbow » 2016-07-01 21:25:08

I saw a rainbow yesterday.

62c2984f47035a45d3ba99f92523d707.jpg

#17 Re: Puzzles and Games » Jane’s cryptic crossword clues » 2016-06-04 12:07:28

#32. Duller stuff (6)

#33. Someone for every male child (6)

#19 Re: Help Me ! » GCD of Fibonacci Numbers » 2016-04-23 04:03:35

I would suggest proving that

divides

for all integers m and n. Which means showing that

#20 Re: Exercises » Simple exercises » 2016-04-23 03:58:58

#2. Two circles of radii r and s intersect at two points such that at each point of intersection the tangents to the circles are mutually perpendicular. Show that the centres of the circles and the points of intersection lie on a third circle, and find the radius of this circle.

#21 Exercises » Simple exercises » 2016-04-23 01:10:32

Nehushtan
Replies: 2

I posted this in another thread but here it is for anyone who might wish to have a go.

 
 
 
 

#25 Euler Avenue » The isometry group of the plane » 2016-04-22 14:36:50

Nehushtan
Replies: 0

 
 
 
 

So what possible transformations are isometries of the plane? You might think that there were a whole bunch of them: rotations, reflections, and translations. (A reflection followed by a translation is sometimes called a glide reflection.) In fact the picture is simpler than that: it turns out that reflections and translations can be built up from rotations alone! A translation in a certain direction is simply a reflection in two axes perpendicular that direction, while a rotation about a point O is a reflection in two axes through O.

 
 
 
  Hence any translation is a reflection in two axes perpendicular to the direction of translation whose distance apart is half the distance to be translated.

 
 
 
 

Hence any rotation is a reflection in two axes through the centre of rotation whose angular separation is half the angle to be rotated through.

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