Online Math Dictionary: G

Easy to understand math definitions for K-Algebra mathematics
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gallon geodesic dome Geometry
Golden Ratio Golden Rectangle gram
greater than greatest common divisor  


A measure of volume (liquid) that is equal to 4 quarts or 231 cubic inches or 3.7853 liters.

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Geodesic Dome
A geodesic dome is a spherical structure made up of triangles.  As you can see in the picture on the right, some triangle groupings form pentagons and some form hexagons.   If they all formed pentagons, then it would make anicosahedron which wouldn't be wide enough.  Some geodesic domes are huge.  A great example is the Montreal Biosphere.

geodesic dome

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Geometry is the science that studies the size and shape of things.

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Golden Ratio
Discovered by the "ancient Greeks", probably Pythagoras or his club, The Pythagoreans, the golden ratio is a special number, 
                         the golden ratio:  (1+sqrt(5))/2  = 1.618 (approximately)
that is one of the solutions to the equation
It's also called the golden mean, the golden section and the golden number.  See the next definition of golden rectangle for more info.


Golden Rectangle
The golden rectangle is a rectangle with very special dimensions...  To get the length, you multiply the width by thegolden ratio (see definition above).   One very special property of the golden rectangle is that you can break it into asquare and a smaller rectangle --  and that smaller rectangle is another golden rectangle!

golden rectangle                 golden  rectangle

The ancient Greeks found that the golden rectangle was very pleasing to the eye and used it in a bunch of their architecture (The Parthenon) and the artists of the Renaissance (like Leonardo DaVinci) used the golden rectangle in their paintings.

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A gram is a unit of weight in the metric system.  It is supposed to be the weight of one cubic centimeter of water at 4 degrees Celsius.  (That's when water is supposed to be its heaviest.)  A paper clip weighs about a gram.

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Greater Than
One number is greater than another number when that number's value is bigger.
Example:   10 is greater than 6.  In math, we write this as   10 > 6.

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Greatest Common Divisor (GCD)
The greatest common divisor is the biggest number that divides into two (or more) given numbers.
Examples:  The GCD of 6 and 9 is 3.   The GCD of 24 and 32 is 8.   The GCD of 2and 10 is 2.
A common way to write it is GCD ( 69 ) = 3.


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