The Ancient Greek polymath Eratosthenes of Cyrene made the first serious attempt at calculating the size of the Earth. Using very simple observations and mathematics he achieved a surprisingly accurate result and in this article I will replicate his calculations in Python.
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In this article I will demonstrate how to calculate the area of any quadrilateral, or four-sided figure, in Python using Bretschneider's Formula.
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This is the first in a set of three articles describing how to calculate the areas of various types of quadrilaterals using the Python programming language.
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In this project I will code in Python a few of the methods of estimating Pi.
Pi is an irrational number starting off 3.14159 and then carrying on for an infinite number of digits with no pattern which anybody has ever discovered. Therefore it cannot be calculated as such, just estimated to (in principle) any number of digits.
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The numbers in the graphic below form the first five rows of Pascal's Triangle, which in this post I will implement in Python.
The first row consists of a single number 1. In subsequent rows, each of which is has one more number than the previous, values are calculated by adding the two numbers above left and above right. For the first and last values in each row we just take the single value above, therefore these are always 1.
Pascal's Triangle in its conventional centred layout
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