Geometry

 

Euclidean geometry:
math'matics' poetry,
Structure I hope you'll agree.
Even if our intentions
stick to two dimensions
we'll find there is plenty to see.

'Cause even when flatter you'll
find equilateral
triangles are simply a breeze.
Equal side lengths one expects
But there at each vertex
the angle's a cute sixty degrees.

If you stick two together
you might wonder whether
or not the result is worthwhile.
If you want to discuss
how you might form a rhombus,
scrap the common line. Done. And with style.

When it comes to isosceles
symmetry's there to please;
two sides will measure the same.
Each opposite angle
within this triangle
do too and that is their aim.

Take the side that's between
and bisect it (I mean
find the midpoint) and draw a straight line
to the angle it faces;
you'll find that this places
two right-angles there. Worth a smile.

Getting ninety degrees
in this way's the bee's knees
For triangles like these are good news.
Though the sides are uneven
they're linked, I am leavin'
a term for the long side - hypotenuse.

This might invoke mem'ry clues:
Squares on hypotenuse
If it has, all well and good.
A Greek called called Pythagoras
sussed this in years long past.
Beauty? Yes, he understood.