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2020 | OriginalPaper | Chapter

Inverse Formulas: From Elementary Geometry to Differential Calculus

Authors : Anna Salvadori, Primo Brandi

Published in: Faces of Geometry. From Agnesi to Mirzakhani

Publisher: Springer International Publishing

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Abstract

The aim of our contribution is to give a didactical perspective to the subject of the meeting. In particular I would like to illustrate a didactic path that starting from the inverse formulas of elementary geometry, in continuity through school of different degree, reaches the differential equations.

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previous chapter Organic Reference in Design. The Shape Between Invention and Imitation
next chapter A Concrete Approach to Geometry
Footnotes
1
No investigation can be asked for true science, if it does not pass through mathematical proofs … no certainty is where one of the mathematical sciences cannot be applied.
 
2
Natural philosophy is written in this very great book which is continually open to us before the eyes, I say the universe, but it cannot be understood if one does not first learn to understand the language and know the characters in which it is written. It is written in mathematical language, and the characters are triangles, circles and other geometric figures, without which means it is impossible to understand humanly words, without them it is a wandering around for a dark labyrinth.
 
Literature
1.
Brandi P, Salvadori A (2017) Math-MAPS a new road that opens up a world. Part I Dynamic models without derivative. In Proceedings APLIMAT, pp 187–196
2.
Brandi P, Salvadori A (2016) MATH Maps. Itinerari per le competenze, II volume, Quaderni Alice&Bob - PRISTEM Bocconi, 45, Egea, p 124
3.
Brandi P, Salvadori A (2015) MATH Maps. Itinerari per le competenze, I volume, Quaderni Alice&Bob - PRISTEM Bocconi, 40, Egea, p 124
4.
Brandi P, Salvadori A (2015) Nuovi Percorsi di Matematica, Introduzione al Calcolo di Newton secondo Matematica&Realtà, 2 volums, Aguaplano-Officina del libro, Passignano s.T. (PG), p 357, 295
5.
Brandi P, Salvadori A (2011) Prima di iniziare. Conoscenze e competenze di base per l’Università. Aguaplano-Officina del libro, Passignano s.T. (PG), p 316
6.
Metadata
Title
Inverse Formulas: From Elementary Geometry to Differential Calculus
Authors
Anna Salvadori
Primo Brandi
Copyright Year
2020
Book
Faces of Geometry. From Agnesi to Mirzakhani

Print ISBN: 978-3-030-29795-4

Electronic ISBN: 978-3-030-29796-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-29796-1_17

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