Category: YouTube Shorts

  Basic Geometry Building on the Foundations Basic Geometry The fundamental entities of geometry include the point, the line, and the plane. It is only possible to describe them in relation to other similar elements. The point is an exact location in space with no size or volume and is considered read more

The Golden Ratio in Base φ What Does Base φ Mean? Further Reading The Golden Ratio in Base φ To obtain the golden ratio, imagine having two amounts a and b, where a is larger than b. These are two parts of a whole, where the whole is a + b. read more

The Celsius scale is the most commonly used temperature scale around the world, with units of degrees Celsius. At one atmosphere of pressure, 0°C is the temperature at which water freezes and 100°C is the temperature where it boils. The Inverted Origin Why the Scale Was Flipped Further Reading The Inverted read more

Advanced geometry includes the study of geometric bodies. The five Platonic solids are convex polyhedra such that all their faces are regular polygons equal to each other and in which all the solid angles are equal. Why Only Five? The Vertex Angle Constraint Further Reading Why Only Five? Here are the read more

The decimal system with the digits we have today is called the Hindu-Arabic numeral system. It originates from Indian mathematicians sometime between the first and fourth centuries, though not including fractions, which were a later extension by 9th century Arabian mathematicians. In modern times, the system is the standard worldwide system of number representation. Table read more

In 1666, Isaac Newton was sitting in his garden when he observed an apple falling straight down. He wondered why it always falls down and not sideways or up. Then it hit him. Maybe the same invisible force pulling the apple to the ground is also what keeps the moon from flying off into space. read more

Over 2,200 years ago, a librarian named Eratosthenes performed one of the most extraordinary scientific experiments in history. Using nothing more than a vertical stick, a shadow, and a brilliant idea, he calculated the circumference of the Earth with astonishing accuracy. The Experiment Eratosthenes experiment. Public domain, via Wikimedia Commons Eratosthenes noticed that at noon read more

Ever wondered if 0 is even? The answer is yes. But why? An even number is any number that can be divided by two with no remainder. Let’s check: 0 / 2 = 0. No remainder at all. Still not convinced? Imagine pairs of socks. An even number means everything pairs up perfectly. Zero socks read more

The Fahrenheit scale, with units of degrees Fahrenheit (°F), is likely familiar to those living in the United States of America. Its story begins in 1724 with Polish-Lithuanian physicist and inventor Daniel Gabriel Fahrenheit. The Original Definition The Final Revision The Original Definition Daniel Gabriel Fahrenheit. Public domain, via Wikimedia Commons read more

The Kelvin Scale: The Foundation of Temperature Measurement A Note on Notation The History of the Kelvin Scale The Kelvin scale is the temperature scale used in the International System of Units (SI). The SI is exactly what it says on the tin: a standardized measurement system to be used by read more