Matt Peperell
Primary interests: Linux, languages, bridge, vim. On the side: Ruby, javascript, mathematics
A peculiar property pertaining to Pythagorean products
Matt Peperell
matt@peperell.com
https://mathstodon.xyz/@mattp
https://mattp.co/mj2024
A choice...
Crunch through some algebra?
Show some graphs?
Generating Pythagorean triangles
m > n > 0 { m,n ∈ ℕ }
a = 2mn
b = m2 - n2
c = m2 + n2
Known to Euclid
Generating Pythagorean triangles
Let's attempt to graph the values
Let's see that table again (with an extra column)
Highlighting the property
60
∣ abc
Two questions...
How might Euclid have proven this?
Can you prove the assertion that 60 ∣ abc
60 = 2 × 2 × 3 × 5
Spoiler...
Two questions...
How might Euclid have proven this?
Can you prove the assertion that 60 ∣ abc
deck
By Matt Peperell
