**Volume 8** ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

**About Tartaglion’s representation of planes**

*Original research paper. Pages 77—84*

Blagoi N. Djokov

Full paper (PDF, 297 Kb) | Abstract

**ℜ**is considered, but as a special and a new commutative ring. The elements of this ring are called tartaglions. Necessary and sufficient conditions, for a plane in

^{3}**ℜ**to be representated by Cartesian tartaglion’s equation, are established.

^{3}**Algebraic and geometric analysis of a Fermat/Cardano cubic**

*Original research paper. Pages 85—94*

J. V. Leyendekkers, A. G. Shannon and C. K. Wong

Full paper (PDF, 463 Kb) | Abstract

_{0}, that is always non-integer, with , where is obtained from the geometry of the curve. These results show that a general parameter associated with the real roots of Fermat/Cardano polynomials is a function of and the geometry of the curve, which in turn yield the link with the geometry of the complex plane.

**Powers as a difference of squares: The effect on triples**

*Original research paper. Pages 95—106*

J. V. Leyendekkers and A. G. Shannon

Full paper (PDF, 519 Kb) | Abstract

_{4}we illustrate how the underlying Class structures of the integers justifies this constraint.

**An invariant integrals in the p-adic number fields**

*Original research paper. Pages 107—111*

Lee Chae Jang

Full paper (PDF, 174 Kb) | Abstract

**New variant of a Fibonacci plane**

*Original research paper. Pages 112—115*

Krassimir T. Atanassov and Anthony G. Shannon

Full paper (PDF, 110 Kb)

**On a generalization of identities of Hoggatt and Horadam**

*Original research paper. Page 116*

A. G. Shannon and J. H. Clarke

Full paper (PDF, 45 Kb)