Conics
In this book, are listed and proved several theorems on conics by completely synthetic, from the definition of themselves as fire-place director. I certainly do not despise the analytical method, which still remains a powerful tool and, in some cases, indispensable. However, my goal is to show the beauty and elegance (and simplicity) of proofs obtained using simple notions of Euclidean geometry. Reference text will be to Besant, Conic Sections Treated geometrically reperebile online at DML (Digital Mathematics Library), I also drew a number of other texts that mention from time to time (the existing material on conics is truly endless!).
For the text, no special requirements are needed: How would Besant, a good knowledge of the first six books of Elements of Euclid (ie the concepts of elementary geometry you learn in high school) is all enough to go into the wonderful world of gears. Of course, I can not help but mention the great geometer Apollonius , ie one who has dealt with systematically conics, using only synthetic methods (his work on conics is characterized by clarity and depth), realizing many of the same property, property that has been demonstrated (perhaps with less expenditure of mental energy) used analytical methods or projective.
From here you can download the chapters of the book as a PDF file:
Chapter 1 - Conic sections
Insights, accessories and applications
modulo n e. .. EncryptionThe Fibonacci sequence
