Construction definition math

How is math involved in construction?
Nevertheless, there is some form of maths that underpins much of the work that happens in the construction industry.
From setting out a building on site to calculating quantities and costs, from determining floor space ratios to ordering materials, there is a lot of everyday practical arithmetic and mathematics..
What is a construct in mathematics?
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists..
What is construction in maths?
Answer: In geometry, construction refers to drawing shapes, angles or lines exactly.
These constructions make use of simply compass, straightedge (i.e. ruler) as well as a pencil.
Thus, it is the “pure” form of geometric construction which means it does not involve numbers.
In Construction, tradespeople use mathematical concepts such as measurement, geometry and trigonometry for building roofs or houses, plasterers use ratios for mixing compounds, plumbers use hydraulics for heating systems.
Mathematics may not be obvious to those in the construction sector, but it's use is everywhere

What does construction mean In geometry?

In the general sense, construction means to build something

But in geometry it has a special meaning

Here, construction is the act of drawing geometric shapes using only a compass and straightedge

No measuring of lengths or angles is allowed

To construct something (as far as I know) means to be able to formulate a description of how to build it

Like an algorithm of well defined steps that systematically builds it up (but does not need to finish in finite time)

@mathreadler Ok, but then, what means "to build"? Isn't a synonim of to contruct?

A construction is an explicit (possibly complex) sequence of steps that can be followed to define an object from objects that are already available

The construction can involve infinitely many objects

In your example, you have the set of all real numbers and use it to create a new object (the closed interval from 0 0 to 1 1 )