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26/02/2025

Have you ever wondered why there are 360 degrees in one complete revolution?
The original reason for choosing the degree as a unit of angular measure is actually, unknown but there are a number of different theories:
• ancient astronomers claimed that the Sun advanced in its path by one degree each day and that a solar year consisted of 360 days
• the ancient Babylonians divided the circle into 6 equilateral triangles and then subdivided each angle at O into 60 further parts, resulting in 360 divisions in one complete revolution
• 360 has many factors which makes division of the circle so much easier.

26/02/2025

A formula is nothing more than a relationship between values that always works and is always true. Wouldn’t it be nice if formulas worked for people,too? But that’s the big difference between people and numbers. Numbers are known to behave much better and more predictably than people, which is why you can embrace formulas with such confidence.
Formulas have been around since the beginning of recorded history, but in the Middle Ages, formulas weren’t in their current neat-and-compact forms. It was only a couple hundred years ago that algebraic notation became popularand formulas such as P = 2(l + w) and a2 + b2 = c2 became a part of mathematical history.
The trick to working with any formula is knowing what the different variables stand for and how to perform the mathematical operations involved. For example, you should know that A = 1⁄2bh gives you the area of a triangle. You simply multiply one side of the triangle (the base, b) by the height of the triangle (h, which is measured from the base) and then find 1⁄2 of the product.

26/02/2025

For two fixed points A and B and a real r> 0, the locus of points P such that AP/BP = r is a circle.

04/02/2024