Alphabet geometry

[aquinas138]

Equidistant

[PerEvangelicaDicta]

Formula

[Daniel]

Googolplexagon j/k j/k
Graph

[aquinas138]

Hypotenuse

[Daniel]

Isosceles triangle

[Daniel]

Johannes Kepler

[aquinas138]

Kite

[Daniel]

Lune

[aquinas138]

Mensuration

[GloriaPatri]

N-dimensional space

[MundaCorMeum]

octagon

[Daniel]

Opposite over adjacent = tangent (from the Latin tangens, "touching". Because a curve is touched most perfectly only by its tangent line).

Arrrgh, MundaCorMeum beat me to it.

Pyramid, from the Greek pyros, "fire". For of the five elements comprising this world, fire is the one which deals the most pain. And of the five Platonic solids, the tetrahedron, likewise, with its sharp and pointy corners, is the one which hurts the most when you step on it... in bare feet.

[aquinas138]

Quadrant

[Daniel]

Root-2, a.k.a. the Pythagoras constant, i.e. the length of the hypotenuse of the most-perfect isosceles right triangle, whose irrationality is said to have been discovered by one most unfortunate Pythagorean named Hippasus of Metapontum. For this discovery Pythagoras himself perhaps commanded that he should put to death, and so they were left with little choice but to take him out on one of their ships. And he was never heard from again.

[PerEvangelicaDicta]

Surface