
Durée : less than 3 hours
Concepts : Trigonometry, Differentiel calculus
Clientèle visée : High School and PostSecondary
Compétence(s) :
Catégorie : Geometry, Algebra, Differential Calculus
Matériel requis : Apparatus, measuring tape
To receive a copy of the English workbook, please contact Kathleen Pineau.
Divided into three parts, this activity will allow you to explore trigonometry and optimisation.

You will become familiar with the various components of the apparatus through qualitative exploration. You will then encode the relationships that exist between the different lengths by building formulas that use trigonometric functions. You will test the validity of your mathematical models, i.e. your formulas, by measuring the various lengths on the apparatus.
Historical Context The Marquis Guillaume François Antoine de l'Hospital, count d'Autremont, marquis de SaintMesme (Paris 16611704, shown on the left) was one of Johann Bernoulli’s first students (Basel, Switzerland, 16671748, shown on the right).
In 1691, Bernoulli spent many months in Paris teaching the marquis the new math of the day, differential calculus. To illustrate the efficiency of this new field, Bernoulli presented him with the Weight problem that we will be working on. The authors France Caron, Université de Montréal, Alain Hénault et Kathleen Pineau, ÉTS.
