The 70th anniversary of Professor Milan Kolibiar
The aftermath of the intermediate value theorem.
The apparition of risk in the western mediterranean area, 12th–13th century. (L'apparition du resicum en méditerranée occidentale, XIIe – XIIIe siècles.)
The Area and the Side I Added: Some old Babylonian Geometry
There was a standard procedure in Mesopotamia for solving quadratic problems involving lengths and areas of squares. In this paper, we show, by means of an example from Susa, how area constants were used to reduce problems involving other geometrical figures to the standard form.
The axiomatic melting point. Teaching probability theory in Prague during the 1930's.
The axiomatic method and Ernst Schröder's algebraic approach to logic
The baron of Férussac, the colour of statistics and topology of sciences. (Le baron de Férussac, la couleur de la statistique et la topologie des sciences.)
The beginning of the French-Czechoslovakian relations, seen from the correspondence of Hostinský and Fréchet. (Le début des relations mathématiques franco-tchécoslovaques vu à travers la correspondance Hostinský-Fréchet.)
The Bernoulli code.
The biological stimulus to multidimensional data analysis.
The calcul of probability and the method of majority. (Le calcul des probabilités et la méthode des majorités.)
The Chu construction: history of an idea.
The Circle: Paradox and Paradigm
The clandestine opinion polls in the occupied France. (Les sondages d'opinon clandestins dans la France occupée.)
The conception of socialist calculus: statistics in the USSR within the thirties. (Former au calcul socialiste: statistiques en URSS des années 1930.)
The contributions of Hilbert and Dehn to non-archimedean geometries and their impact on the italian school
In this paper we investigate the contribution of Dehn to the development of non-Archimedean geometries. We will see that it is possible to construct some models of non-Archimedean geometries in order to prove the independence of the continuity axiom and we will study the interrelations between Archimedes’ axiom and Legendre’s theorems. Some of these interrelations were also studied by Bonola, who was one of the very few Italian scholars to appreciate Dehn’s work. We will see that, if Archimedes’...
The "Corolarium II" to the proposition XXIII of Saccheri's Euclides.
This "Corolarium" of the Euclides (1733) contains an original proof of propositions 1.27 and 1.28 of Euclide's Elements. In the same corollary Saccheri explains why he dispenses "not only with the propositions 1.27 and 1.28, but also with the very propositions 1.16 and 1.17, except when it is clearly dealt with a triangle circumscribed by alls sides"; and also why he rejects Euclide's proof. Moreover the corollarium has implications for confirmation of Saccheri's method; and also for his concept...
The correspondence between Beppo Levi and Mischa Cotlar. The first publications of Cotlar.
The Correspondence between Georg Cantor and Philip Jourdain.
The divergence theorem
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.