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Level 1 Geometry Basics #maths #geometry #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
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Golden Ratio Φ phi
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
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Every Number Set Explained
Natural Numbers Integers Rational Numbers Real Numbers Complex Numbers Natural Numbers The story starts at the beginning of mathematics itself. Evidence of humans counting things goes back to the Paleolithic era, tens of thousands of years ago, with tally marks etched on various surfaces. Early humans could have been counting fruits, read more
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Everything You Need to Know About Celsius
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
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Advanced geometry level 3, Geometric Bodies, Convex Polyhedron Polygons
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
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Every Fractal Dimension Explained
Fractals are geometric objects that have a fascinating property: they are self-similar. This means that their structure repeats itself at different scales, no matter how close or far away you are looking. Imagine an object whose shape repeats itself over and over again, just at different sizes. These structures are not just abstract objects but read more
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The Decimal System, aka the Hindu-Arabic Numeral System
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
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Every Weird Number System Explained Part 2
Base 10 may seem like a natural choice for humans based on our number of fingers, but it has its inconveniences. One major detail is that 1/3, which is one of the simplest fractions, can’t be represented without a repeating decimal. This extends to any fraction which is 1 divided by a positive multiple of read more
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Every Weird Measurement System Explained
One of the oldest surviving documents is an ancient Mesopotamian tablet that details a complaint by a customer who was sold 1,080 pounds of substandard copper ingots. A Mesopotamian pound was roughly equivalent to a mina, which was made up of 60 shekels and weighed approximately 1.25 pounds. It was not until after the French read more
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Every Trigonometric Curve Explained
When describing trigonometric functions, it’s necessary to talk about concepts such as radians, sexagesimal degrees, and gradians. Radians Sexagesimal Degrees Gradians Converting Angles Transcendental Functions Trigonometric Functions Sine Function Cosine Function Tangent Function Reciprocal Trigonometric Functions Trigonometric Identities Basic Identities Inverse Trigonometric Functions Hyperbolic Functions Hyperbolic Sine Function Hyperbolic Cosine Function read more
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