Draw a diagram to show that normals drawn at different
points on the curved surface are in different directions.
Answers
Answer:
A long, long time ago (give or take 2,000 years) there was a culture, to which we owe a sizable part of the mathematics that we know today: Ancient Greece. The most important contribution probably came from Euclid, who gathered all the information that was known about mathematics at the time and compiled it in books called The Elements. He didn’t only gather and organize mathematics, but also “logically” organized, or shall we say, created a system that organized content material according to its implied logic (deductive reasoning). This was how axioms and theorems came into play… (an axiom implies a theorem), can you imagine how important this was? It’s hard to grasp…
Euclid reserved a large portion of his books for geometry (the Greeks loved that!), in fact, it was in this section that his work remained intact until the 19th century (but now it’s all about advanced mathematics). So really, what we study in geometry today at school started more than two thousand years ago!
We are focusing today’s post on studying straight lines and curved lines, just like Euclid studied all those years ago.
There are a lot of ways to define straight and curved lines; the most elaborate way to define them is the following:
A straight line is a succession of points that are aligned in the same direction. Or in other words, in order to go from one point to another, we never change direction.
Explanation:
