Euclid impacts mathematics for the next 2000 years
We start our series of articles about great mathematicians by going back 2300 years ago to Egypt to the ancient library of Alexandria. There a Greek man named Euclid created a masterpiece that would become one of the most important and influential textbooks in history, The Elements. It is considered to be the “Bible” of mathematics. The masterpiece has been used as a textbook for 2000 years and its logical approach remains the cornerstone of mathematics till today.
In his ambitious work on The Elements, Euclid covers all of the mathematics known in his time in 13 organized books. He begins with Geometry of the plane for the first 6 books, including Points, Lines, Triangles, Squares, Circles and others elements. And next he continues to describe five axioms of Plane Geometry, interestingly proposing to use them without being proved. In the 10th part Euclid describes a proof for Irrational Numbers. The last 3 books of the masterpiece deals mostly with 3-dimensional geometric shapes, like Pyramids and Cylinders.
In NoBoxToday Kids Mathematics we follow a story about how Euclid once lay down for a nap in the fields nearby Alexandria. And in his dream he discovers the “atoms” of Geometry, Points and Lines and their relationship. After the story, kids follow to play an exercise game to discover the concept by themselves.
Let's look at Euclid's Points and Lines in NoBoxToday.
The exercise game starts with 2 points and we discover that only 1 line pass through them.
We then proceed to the next level and discover that 3 points pass through 3 points.
At the third level it gets more interesting. We wonder how many lines pass through 4 points?
After a few levels we realize that there seems to be a relationship between the number of points and the amount of lines passing through them. Every time we add a point, we get many more lines. Could we figure out a mathematical formula to tell us how many lines (l) pass any given number (n) of points? Yes we can. The general formula is l = n(n-1)/2.
This is a simple mathematical concept from 2300 years ago and kids still get very curious about it. They spend long time figuring out all the passing lines from level to level, deeply concentrating on points and lines, the basics of geometry.
Go ahead, download and discover Euclid's Points and Lines in NoBoxToday!