Obituary
Margaret E Rayner 21st August 1929 – 31st May 2019

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 21 October 2019, pp. 385387

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Articles
Alice’s adventures in inverse tan land – mathematical argument, language and proof

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 21 October 2019, pp. 388400

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New proofs of certain characterisations of cyclic circumscriptible quadrilaterals

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 21 October 2019, pp. 401408

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Coincidence of the barycentre and the geometric centre of weighted points

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 21 October 2019, pp. 409415

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Characterisations of the parabola

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 21 October 2019, pp. 416430

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The Chinese Ring puzzle, the Crazy Elephant Dance puzzle, the bSpinout puzzle, and Gray codes

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 21 October 2019, pp. 431441

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The morphology of ${\mathbb{Z}}\sqrt {{\rm{[10]}}} $

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 21 October 2019, pp. 442460

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Other
In the pipeline for March 2020

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 21 October 2019, p. 460

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A diagram for inequalities of symmetric functions

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 21 October 2019, pp. 461470

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Eight formulae for the area of triangle OIH

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 21 October 2019, pp. 471479

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Iterating circummedial triangles

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 21 October 2019, pp. 480487

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Other
An Appreciation

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 21 October 2019, p. 488

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Notes
103.28 On a link between Triangular and Fibonacci numbers

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 21 October 2019, p. 489

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103.29 Heronian triangles and squares in arithmetic progression

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 21 October 2019, pp. 490493

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103.30 Tests for divisibility by prime numbers

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 21 October 2019, pp. 494495

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103.31 Factorising numbers with oracles

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 21 October 2019, pp. 495499

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103.32 More on the gaps between sums of two squares

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 21 October 2019, pp. 499503

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103.33 Conditions for the terms of an arithmetic sequence to form a multiplicative modular group

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 21 October 2019, pp. 504508

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103.34 Indefinite integration by parts as a translation of functions

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 21 October 2019, pp. 508512

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103.35 Hölder's inequality revisited

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 21 October 2019, pp. 512514

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