We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subsequence of another finite word. Similarly to the Sierpiński gasket that can be built as the limit set, for the Hausdorff distance, of a convergent sequence of normalized compact blocks extracted from Pascal triangle modulo 2, we de...

Let $${\mathcal {K}}$$ denote a nonsingular conic in the projective plane. Pascal’s theorem says that, given six distinct points A, B, C, D, E, F on , three intersection $$AE \cap BF, AD CF, BD CE$$ are collinear. The line containing them is called Pascal of sextuple. However, this construction may fail when some come together. In paper, we find indeterminacy locus where not well-defined and th...

Esse trabalho apresenta uma avaliação crítica multicontextual, histórica e conceitual, do Princípio de Pascal nos livros didáticos Física aprovados no Programa Nacional Livro Didático (PNLD) 2018. A análise realizada levou em consideração os seguintes aspectos: o enunciado sob ponto vista conceitual; relações entre ciência tecnologia, tendo dispositivos relacionados ao Princípio; fontes históri...