id: 06426704
dt: j
an: 2015c.00592
au: Stephenson, Paul
ti: Two unit fractions from one. II.
so: Math. Sch. (Leicester) 44, No. 1, 28-29 (2015).
py: 2015
pu: Mathematical Association (MA), Leicester
la: EN
cc: F40 F60 G40
ut: partitioning a unit fraction; sum of two unit fractions; plane geometry;
circles; tangential quadrilaterals; integral side length; integral
radius; kites; right triangles; Egyptian fractions; divisor; prime
factors; completing the rectangle
ci: ME 2015b.00616
li:
ab: From the text: In counting the different integral ‘tangent’ kites which
fit round a circle of given integer radius we converted the problem
into the equivalent one of counting the number of ways you can
partition one unit fraction into two. Unfortunately, the method we
devised to find this number required us to check each of the $(r+1)$ to
$(2r-1)$ relevant cases. Here, by contrast, is Andrew Palfreyman’s
method applied to our problem. For Part I see [the author, ibid. 43,
No. 5, 24‒25 (2014; ME 2015b.00616)].
rv: