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# Discrete Mathmatics

The mathematics of a bicycle can be broken down into three can be broken down into three basic types. The design of the frame, deals mainly with geometry. The size of the wheels and the distance they cover deals with multiplication. The gear ratios are found by division. Basically, without the knowledge of mathematics the bicycle would have not been developed or invented. .
Draisienne, 1817 (Birth . 1).
The bicycle has developed quite a bit since its invention more than two hundred years ago. The first vehicles resembling bicycles were developed in England in the 1790's (Cycling). It had to be pushed and it could not be steered. They were bulky and awkward but assisted people in walking. In 1816 a major development in bicycling history was made by Karl Von Drais. He studied mathematics and mechanics at Heidelberg and was named the master of the forests of the grand Duke of Baden (Whitt 7). Von Drais developed a front steering mechanism and added it to the hobby horse (A stick with the figure of a horse head at one end) in order to negotiate the windy root covered paths of the forest where he worked. Later, while riding his modified hobby horse one of his workers discovered that it was possible to balance on two wheels while coasting down a hill (Whitt 8). This led the way to the basic bike design, allowing for direction to take place in the bike. .
In 1846 a Scottish man named Kirkpatrick Macmillan made the next major development of the bicycle. He was the person who, in 1839, powered the Draisienne directly from leg power. He did this by adding cranks to the rear wheel which were connected to swinging pedals. This does not much resemble the drive system that is currently used today but it was an important advancement in bicycle development. He called his vehicle a velocipede (Whitt 8).
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Michaux velocipede, 1855 (Birth . 2).
The major advances in the design and drive systems of the bicycle were made in the thirty year period following Macmillan's development of the velocipede.

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