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Pairing theorems about parabolas through duality

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 13 October 2021, pp. 385396

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Long medians and long angle bisectors

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 13 October 2021, pp. 397409

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The probability certain random quadratics have real roots

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 13 October 2021, pp. 410415

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Rectangles and spirals

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 13 October 2021, pp. 416424

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Johannes Kepler and his making of the Rudolphine Tables

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 13 October 2021, pp. 425432

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Monotonicity of the midpoint and trapezium estimates for integrals

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 13 October 2021, pp. 433441

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Linearly periodic continued fractions

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 13 October 2021, pp. 442449

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A pretty series revisited

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 13 October 2021, pp. 450457

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Developing quadrature themes

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 13 October 2021, pp. 458466

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Verifying nonisomorphism of groups

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 13 October 2021, pp. 467473

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Some more properties of the bisectdiagonal quadrilateral

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 13 October 2021, pp. 474480

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Aesop's moral on success

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 13 October 2021, pp. 481489

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Expected length and probability of winning a tennis game

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 13 October 2021, pp. 490500

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A triangular exploration

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 13 October 2021, pp. 501506

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Matter for debate
Correct answer – dodgy method

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 13 October 2021, pp. 507510

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Notes
105.38 A very simple proof of the twosquares theorem

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 13 October 2021, p. 511

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105.39 The Eureka theorem of Gauss

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 13 October 2021, pp. 512514

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105.40 A tale of two cubics

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 13 October 2021, pp. 514516

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105.41 Topology haiku matrix

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 13 October 2021, p. 516

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105.42 Generalised binomial theorem via Laplace transform technique

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 13 October 2021, pp. 516520

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