Wednesday, June 27, 2012

compass&strightedge vs. drawing tool


There is a need for students to understand and be able to construct geometric figures using a compass and straightedge.  While using a drawing program is easier and faster you need to know how to construct geometric figures using a compass and a straightedge. You could be in a situation where your device that has the drawing program is not working. You may need to make adjustments to your figures and doing it with a compass and straightedge might be better. Compass and straightedge are simple to use and easy to understand. People have been using them for many years so why stop know.  First to use a compass and straightedge was Eqclid. Three postulates number one a straight line maybe drawn from any point to any other point, number two a continuous line can be represented, number three a circle with any center and distance maybe described.  The three problems that a straightedge and compass can’t solve are trisecting an angle dubbing a cube and squaring a circle. But with a drawing program you can solve these problems.  Pie is a transcendental number and therefor would not work with a rational polynomial equation.  Compass and straightedge more freedom in how you want your work to be done, easier to learn, always has hard copy right there as you draw. A drawing program depends too much on the program you won’t understand as fast and as much, need to learn to use the program and its functions/tools, possible unnoticed glitch, could back fire and crash or shut off without saving work, restricted to only whatever tools and functions the program offers.


A compass and a straight edge: the history of geometric constructions by Greg funk

Compass & straightedge VS. Graphics program