| GEOMETRY ILLUSTRATED |
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“To Measure the Earth” Geometry is an ancient Greek word which means to “measure the earth”. The Greek mathematician Euclid in approximately 300 B.C., introduced his brilliant works on geometry in five volumes he called “The Elements’. Euclid is considered to be the greatest mathematician ever. His work was the basis of all geometry until the early 20th century and is known as Euclidean geometry. Plane and solid geometry as now studied in high school mathematics, coupled with applied algebra (called analytical geometry) is truly the science of measurement. The use of algebra to manipulate the dimensions of geometric figures is only one aspect of analytical geometry. It also allows for the representation of a point in a coordinate plane in space by coordinates, and the representation of lines and curves by equations. All of the above leads to the fact that geometry is indeed the mathematical science of measurement. Analytic geometry is perhaps the most practical of the mathematical sciences because it allows us to use the results of an algebraic manipulation to a geometric figure and apply the resulting measurements into everyday applications. Without geometry, we would not have all the luxuries of today’s world, and certainly not our space and atomic programs. From the tiniest of atoms to the vastness of space, geometry is truly the science of measurement.. As a retired mechanical engineer, mathematics was a way of daily life, especially analytic geometry. In my many years in product design and tooling, I relied heavily on calculated measurements of geometric shapes to generate the tooling that would produce the designed product. Presently I am working with high school and college students as a mathematics tutor. From the tutoring experience I find that geometry seems to be the most difficult for students to comprehend and retain. My evaluation for the reasons of this lack of understanding and interest has led me to the conclusion that most geometry textbooks are clouded with proofs and constructions, not allowing the real beauty of geometry to shine through as the science of measurement. Hence the concept of my book, Geometry Illustrated. Geometry Illustrated is a quick and easy way for the student studying geometry today to connect a geometric statement with a highlighted graphical drawing for all of the topics in plane, solid and trigonometric geometry. Only the facts (axioms, theorems, etc,) are presented. Clouds of proofs, construction, quizzes and tests are not in Geometry Illustrated, so the sun can shine through on the real meat of the subject. Geometry Illustrated is handy for future mathematics and professional reference. The unique format of Geometry Illustrated makes a geometry topic quick to find and easy to understand. Phillip M. Stewart, Author, Geometry Illustrated. Phill@geometryillustrated.com |