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Your search keyword '"Paolillo, Bonaventura"' showing total 4 results
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4 results on '"Paolillo, Bonaventura"'

1. Commensurable diagonals in regular n-gons.

Author

Vincenzi, Giovanni, Paolillo, Bonaventura, and Rizzo, Piermichele

Subjects
*MATHEMATICS, *POLYGONS, *GENERALIZED polygons, *SCHOOL children, *PRIMARY education
Abstract

In this paper, we will show a characterization for pairs of commensurable diagonals of regular n-gons. This result gives a positive answer to a recent question. [ABSTRACT FROM AUTHOR]

Published
2022
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2. An elementary proof of Niven's theorem via the tangent function.

Author

Paolillo, Bonaventura and Vincenzi, Giovanni

Subjects
*TANGENT function, *TRIGONOMETRIC functions, *ARCTANGENT function, *MATHEMATICS theorems, *COTANGENT function
Abstract

In this paper, we propose an elementary proof of Niven's Theorem in which the tangent function will have a primary role. [ABSTRACT FROM AUTHOR]

Published
2021
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3. On the Rational Values of Trigonometric Functions of Angles that Are Rational in Degrees.

Author

Paolillo, Bonaventura and Vincenzi, Giovanni

Subjects
*TRIGONOMETRIC functions, *IRRATIONAL numbers, *RATIONAL numbers
Abstract

Fix I n i such that Graph HT n ht is an integer multiple of Graph HT 360° ht . First, we assume that Graph HT cos( ) ht is a rational number different from 0. Suppose that Graph HT tan( ) ht is a rational number. [Extracted from the article]

Published
2021
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4. An application of probability to combinatorics: a proof of Vandermonde identity.

Author

Paolillo, Bonaventura, Rizzo, Piermichele, and Vincenzi, Giovanni

Subjects
*VANDERMONDE matrices, *COMBINATORICS, *PROBABILITY in quantum mechanics, *CURVILINEAR coordinates, *LAMMA language
Abstract

In this paper, we give possible suggestions for a classroom lesson about an application of probability using basic mathematical notions. We will approach to some combinatoric results without using ‘induction’, ‘polynomial identities’ nor ‘generating functions’, and will give a proof of the ‘Vandermonde Identity’ using elementary notions of probability. [ABSTRACT FROM AUTHOR]

Published
2017
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