Erect comes from the Latin word erectus, meaning  âupright, elevated, loftyâ or âeager, alert, aroused.â Erect is a verb, as in, it will take you years to erect your replica of the Eiffel Tower using only gum and toothpicks. Erect is also an adjective, as in something that is tall, firm, straight or rigid, like a half-dead plant that becomes more erect when you water it.
mathematical - characterized by the exactness or precision of mathematics; mathematical precision. math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement.
Geometry is one of the classical disciplines of math. Roughly translating in Greek as Earth Measurement, it is concerned with the properties of space and figures. It is primarily developed to be a practical guide for measuring lengths, areas, and volumes, and is still in use up to now.