Original results
on the sequences
of Fibonacci & Lucas
The project is devoted to the sequences of Fibonacci and Lucas and consist
of: Item one, which contains formulations and proofs of several entirely
new theorems, considering divisibility in each sequence and between them
both Item two, including original analyses of the prpperies of polygons
in the plane and in the space, which co-ordinates are members of the
sequences of Fibonacci and Lucas.
Appendix1, Appendix2 and Appendix3 contain propositions, which were used
by the proofs of the theorems of the project. All of them were taken
from another author’s work and most of them are also original. Appendix4
proposes 13 entirely new problems, which is illustrate the theory explored
in the project and in Appendix1, Appendix2 and Appendix3. Appendix5 includes
the bibliography used.
|
