Um estudo do seno: da história até o som

Borges, Jullymary Alves da Costa

doi:10.11606/D.55.2021.tde-16072021-090019

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2021.tde-16072021-090019

Document

Master's Dissertation

Author

Borges, Jullymary Alves da Costa (Catálogo USP)

Full name

Jullymary Alves da Costa Borges

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Professional Master Mathematics in the National Network

Date of Defense

2021-05-20

Published

São Carlos, 2021

Supervisor

Simal, Janete Crema (Catálogo USP)

Committee

Simal, Janete Crema (President)
Aki, Sueli Mieko Tanaka
Paterlini, Roberto Ribeiro
Zuffi, Edna Maura

Title in Portuguese

Um estudo do seno: da história até o som

Keywords in Portuguese

Aplicações das funções seno e suas variações
Aspectos históricos das funções seno e cosseno
Correspondência entre senóides e sons
Tábua de cordas de Ptolomeu

Abstract in Portuguese

Neste trabalho compilamos fatos históricos, teóricos e aplicados relativos ao conceito do seno, tanto do ponto de vista geométrico como analítico. Além disso elaboramos uma sequência didática, com uso do software Geogebra, associando as funções senóides com os sons que elas descrevem.

Title in English

A study of the sine: from history to sound

Keywords in English

Applications of sine function and its vriations
Historical facts of sine and cosine
Ptolomy's table of chords
Relationship between sinusoid and sounds

Abstract in English

In this work we compile some aspects of the history, theory and applications of the concept of sine, either from the geometric point of view or the analitical one. Besides we elaborate a didactic sequence using Geogebra and associate sinusoid functions with the sounds they represent.

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JullymaryAlvesdaCostaBorges_revisada.pdf (3.40 Mbytes)

Publishing Date

2021-07-16

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