The_Curious_Incident_of_the_Dog_in_the_Nighttime

The Curious Incident of the Dog in the Night-time

(n2 - 1)2 + (2n)2 = n4 - 2n2 + 1 + 4n2 = n4 + 2n2 + 1

The square of the hypotenuse is (n2 + 1)2

(n2 + 1)2 = n4 + 2n2 + 1

Therefore the sum of the squares of the shorter two sides is equal to the square of the hypotenuse and the triangle is right-angled.

And the converse of "A triangle with sides that can be written in the form n2 + 1, n2 - 1 and 2n (where n > 1) is right-angled" is "A triangle that is right-angled has sides whose lengths can be written in the form n2 + 1, n2 - 1 and 2n (where n > 1)."

And a counterexample means finding a triangle which is right-angled but whose sides cannot be written in the form n2 + 1, n2 - 1 and 2n (where n > 1).

So let the hypotenuse of the right-angled triangle ABC be AB.

and let AB = 65

and let BC = 60

Then CA = √ (AB2 - BC2)

= √ (652 - 602) = √ (4225 - 3600) = √ 625 = 25

Let AB = n2 + 1 = 65

then n = √ (65 - 1) = √ 64 = 8

therefore (n2 - 1) = 64 - 1 = 63 „ BC = 60 „ CA = 25

and 2n = 16 „ BC = 60 „ CA = 25

Therefore the triangle ABC is right-angled but it does not have sides which can be written in the form n2

+ 1, n2 - 1 and 2n (where n > 1). QED

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The Curious Incident of the Dog in the Night-time

Footnotes

1I found this in a book when Mother took me into the library in town in 1996.

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2This is not a metaphor, it is a simile, which means that it really did look like there were two very small mice hiding in his nostrils, and if you make a picture in your head of a man with two very small mice hiding in his nostrils, you will know what the police inspector looked like. And a simile is not a lie, unless it is a bad simile.

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3But I wouldn't have Shreddies and tea because they are both brown.

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4Once I didn't talk to anyone for 5 weeks.

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5When I was 6 Mother used to get me to drink strawberry-flavored slimming meals out of a measuring jug and we would have competitions to see how fast I could drink a quarter of a liter.

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6People say that you always have to tell the truth. But they do not mean this because you are not allowed to tell old people that they are old and you are not allowed to tell people if they smell funny or if a grown-up has made a fart. And you are not allowed to say "I don't like you" unless that person has been horrible to you.

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7Stupid things are things like emptying a jar of peanut butter onto the table in the kitchen and making it level with a knife so it covers all the table right to the edges, or burning things on the gas stove to see what happened to them, like my shoes or silver foil or sugar.

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8I only did this once by borrowing the keys when she went into town on the bus, and I hadn't driven a car before and I was 8 years old and 5 months so I drove it into the wall, and the car isn't there anymore because Mother is dead.

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9It is permitted to move the chairs and the table in the kitchen because that is different, but it makes me feel dizzy and sick if someone has moved the sofa and the chairs around in the living room or the dining room. Mother used to do this when she did the hoovering, so I made a special plan of where all the furniture was meant to be and did measurements and I put everything back in its proper place afterward

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The Curious Incident of the Dog in the Night-time

and then I felt better. But since Mother died Father hasn't done any hoovering, so that is OK. And Mrs. Shears did the hoovering once but I did groaning and she shouted at Father and she never did it again.

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10 The dhole is the Indian wild dog and it looks like a fox.

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11The langur is the entellus monkey.

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12This is really true because I asked Siobhan what people thought about when they looked at things, and this is what she said.

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13In the art class we do art, but in the first morning class and the first afternoon class and the second afternoon class we do lots of different things like Reading and Tests and Social Skills and Looking after Animals and What We Did at the Weekend and Writing and Maths and Stranger Danger and Money and Personal Hygiene.

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Inside Flaps

Christopher John Francis Boone knows all the countries of the world and their capitals and every prime number up to 7,057. He relates well to animals but has no understanding of human emotions. He cannot stand to be touched. Although gifted with a superbly logical brain, Christopher is autistic. Everyday interactions and admonishments have little meaning for him. Routine, order, and predictability shelter him from the messy wider world. Then, at fifteen, Christopher's carefully constructed world falls apart when he finds his neighbor's dog, Wellington, impaled on a garden fork, and he is initially blamed for the killing.

Christopher decides that he will track down the real killer and turns to his favorite fictional character, the impeccably logical Sherlock Holmes, for inspiration. But the investigation leads him down some unexpected paths and ultimately brings him face to face with the dissolution of his parents' marriage. As he tries to deal with the crisis within his own family, we are drawn into the workings of Christopher's mind.

And herein lies the key to the brilliance of Mark Haddon's choice of narrator: The most wrenching of emotional moments are chronicled by a boy who cannot fathom emotion. The effect is dazzling, making for a novel that is deeply funny, poignant, and fascinating in its portrayal of a person whose curse and blessing are a mind that perceives the world literally.

The Curious Incident of the Dog in the Night-Time is one of the freshest debuts in years: a comedy, a heartbreaker, a mystery story, a novel of exceptional literary merit that is great fun to read.

MARK HADDON is a writer and illustrator of numerous award-winning children's books and

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The Curious Incident of the Dog in the Night-time

television screenplays. As a young man, Haddon worked with autistic individuals. He teaches creative writing for the Arvon Foundation and at Oxford University. He lives in Oxford, England.

Scan Notes, v3.0

Proofed carefully against DT; italics, images and special characters intact. This document is abebook.css and nicebook.css compatible. Could not comply to HHH standards and still produce a dependable copy, but adhered to as many of its requirements as I could.

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