conversations.from: human
conversations.value: a plot for a book about Ruche, Parrot's, Theorem entitled The Parrot's Theorem
conversations.from: assistant
conversations.value: The Parrot's Theorem: The plot revolves around a household in Paris: Mr Ruche, an elderly wheelchair-using bookseller; his employee and housemate Perrette; and Perrette's three children - teenage twins and young Max who is deaf.\nMax liberates a talking parrot at the market and Mr Ruche receives a consignment of mathematical books from an old friend, who has lived in Brazil for decades without any contact between the two.\nMathematical topics covered in the book include primes and factors; irrational and amicable numbers; the discoveries of Pythagoras, Archimedes and Euclid; and the problems of squaring the circle and doubling the cube.\nThe mathematics is real mathematics, woven into an historical sequence as a series of intriguing problems, bringing their own stories with them.
conversations.from: human
conversations.value: Add another sentence about \nThe, Ruche's, murdered.
conversations.from: assistant
conversations.value: The Parrot's Theorem: The plot revolves around a household in Paris: Mr Ruche, an elderly wheelchair-using bookseller; his employee and housemate Perrette; and Perrette's three children - teenage twins and young Max who is deaf. \nMax liberates a talking parrot at the market and Mr Ruche receives a consignment of mathematical books from an old friend, who has lived in Brazil for decades without any contact between the two. \nThe household sets up its own exploration of mathematics in order to crack the code of the last messages from Mr Ruche's old friend, now apparently murdered. \nMathematical topics covered in the book include primes and factors; irrational and amicable numbers; the discoveries of Pythagoras, Archimedes and Euclid; and the problems of squaring the circle and doubling the cube. \nThe mathematics is real mathematics, woven into an historical sequence as a series of intriguing problems, bringing their own stories with them.
conversations.from: human
conversations.value: the first five paragraphs for this book
conversations.from: assistant
conversations.value: The Parrot's Theorem
  A living library, thought Mr Ruche, which was exactly what Grosrouvre had made of his 'loyal friend'. Euler learned texts by heart so he would remember them when he was blind. Grosrouvre had persuaded his friend to learn his proofs by heart, not because his friend was going blind, but because the texts themselves would no longer exist. He was going to burn them.
  Mr Ruche poured himself another cup of tea and sipped it slowly. 'Right', he said cheerfully, 'I think I'll just learn the Rainforest Library by heart. That would be the best insurance against a fire!'
  Max continued to read aloud: 'Euler's left eye soon began to fail. Shortly after his arrival in St Petersburg, he had gone completely blind. He decided to undergo surgery to have a cataract removed. The operation was successful, for his sight returned. It was the greatest joy in his life. He took great pleasure in writing his own letters again – to Bernoulli, Lagrange, Goldbach and many others...'
  Goldbach's conjecture; Fermat's second theorem; unrequited love & how Fermat's Last Theorem saved a man's life
  Mr Ruche stared at Grosrouvre's letter: 'An unproved theorem – a conjecture – is a simple statement, something the whole world takes for granted, but which no one has been able to prove. That was the sort of challenge I needed!' He put the letter down on the desk, wheeled himself to Section 3 of the Rainforest Library and took out Grosrouvre's index card on Goldbach:
conversations.from: human
conversations.value: another paragraph
conversations.from: assistant
conversations.value: The fortress was impressive. It was surrounded by three trenches carved into the rock. In the third trench, Mr Ruche saw the remnants of the posts which had supported the drawbridge. In front of them five towers rose up, reddening in the sunset.
conversations.from: human
conversations.value: Swap the first and the last sentence.
conversations.from: assistant
conversations.value: In front of them five towers rose up, reddening in the sunset. It was surrounded by three trenches carved into the rock. In the third trench, Mr Ruche saw the remnants of the posts which had supported the drawbridge.The fortress was impressive.
conversations.from: human
conversations.value: the last five paragraphs
conversations.from: assistant
conversations.value: Perched high in the branches of a cocoa tree, Mamaguena, alias Sidney, was talking. She didn't repeat, she didn't report, she recounted. More precisely, she proved...
  All around the branches were filled with birds. Hundreds of them, of every colour, shape and size. They sat silently, attentively. On a branch opposite sat a beautiful blue ara, looking directly at Mamaguena.
  In the respectful silence, Mamaguena explained to the conference of the birds each of the long proofs Grosrouvre had confided to her. The moon rose in the sky, and illuminated the clearing. Suddenly, one of the audience began to twitter, flapping its wings noisily. All heads turned to him disapprovingly, but he kept up the racket. Could it be that the heckler had spotted something, some small thing in Grosrouvre's proof of Goldbach's conjecture, that was wrong...
  For the cissoid (the name means 'like ivy'), the line AB runs from A, on the circumference of a circle, to B, on a line which is tangential to the circle at a point diametrically opposite A. AB cuts the circle at C. As AB rotates about A, the cissoid is traced out by the point D, which moves in such a way that AD always equals CB. For the conchoid, B lies on a line which doesn't pass through A. As AB rotates about A, the conchoid is traced out by the two points C and D, which lie on AB extended in both directions and are equidistant from B: BC = BD. There are two parts ('branches') to the cissoid, one on either side of the straight line. How these two curves are used to trisect an angle is left as a challenge to the reader.
  The Cast of characters that appeared in the print version of this title does not match the pages in your eBook. Please use the search function on your eReading device to search for terms of interest. For your reference, the terms that appear in the print index are listed below.
conversations.from: human
conversations.value: Add another sentence about Mamaguena, looked, worried.
conversations.from: assistant
conversations.value: Perched high in the branches of a cocoa tree, Mamaguena, alias Sidney, was talking. She didn't repeat, she didn't report, she recounted. More precisely, she proved... 
  All around the branches were filled with birds. Hundreds of them, of every colour, shape and size. They sat silently, attentively. On a branch opposite sat a beautiful blue ara, looking directly at Mamaguena. 
  In the respectful silence, Mamaguena explained to the conference of the birds each of the long proofs Grosrouvre had confided to her. The moon rose in the sky, and illuminated the clearing. Suddenly, one of the audience began to twitter, flapping its wings noisily. All heads turned to him disapprovingly, but he kept up the racket. Mamaguena looked worried. Could it be that the heckler had spotted something, some small thing in Grosrouvre's proof of Goldbach's conjecture, that was wrong... 
  For the cissoid (the name means 'like ivy'), the line AB runs from A, on the circumference of a circle, to B, on a line which is tangential to the circle at a point diametrically opposite A. AB cuts the circle at C. As AB rotates about A, the cissoid is traced out by the point D, which moves in such a way that AD always equals CB. For the conchoid, B lies on a line which doesn't pass through A. As AB rotates about A, the conchoid is traced out by the two points C and D, which lie on AB extended in both directions and are equidistant from B: BC = BD. There are two parts ('branches') to the cissoid, one on either side of the straight line. How these two curves are used to trisect an angle is left as a challenge to the reader. 
  The Cast of characters that appeared in the print version of this title does not match the pages in your eBook. Please use the search function on your eReading device to search for terms of interest. For your reference, the terms that appear in the print index are listed below.