Στο πέμπτο του βιβλίο ο Ελευθέριος Αργυρόπουλος εξετάζει την δυνατότητα της προβλεπτικότητος της Ελληνικής Γλώσσης και την επιβεβαίωση ιστορικών γεγονότων και φυσικών νόμων μέσω λεξαριθμικών ισοψηφιών.  

        Beyond his great strategic abilities, Napoleon showed great interest for the Euclidian Geometry. He discovered the following theorem: Given any triangle on the Euclidian plane, if we construct equilateral triangles with sides the side lengths of the primary triangle, then by joining the vertices of each equilateral triangle, with the opposite vertex of the primary triangle, then the three lines constructed concur.

        On 1637 the French mathematician Pierre de Fermat conjectured that Diophanting equation has no solution in nonzero integers, when the exponent n (natural number) is grater or equal than 3.

        It is well known that in every right triangle of the Euclidian Plane, the square of its hypotenuse equals to the sum of the squares of the two vertical sides.