Trigonometry

Orion’s Waistline

Orion

One night, while gazing at Orion’s Belt, I wondered what if it was actually a literal belt? Three stars make up Orion’s Belt. They’re definitely not collinear. These stars form the vertices of a gigantic triangle. With some imagination, the perimeter of this triangle is analogous to Orion’s stellar waistline. So how do I calculate it?

Euler #9: Special Pythagorean Triplet

Pythagorean triplets acted as speed squares in ancient carpentry. The Babylonians knew of them before Pythagoras’s time. Euclid’s Formula makes a guest appearance.