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Tangente
Square roots
Magazine

Square roots

October 20, 2023

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At the root of the square root

Essential in geometry as in analysis, square roots nevertheless took many centuries to establish themselves as full-fledged numbers in mathematics. The difficulty in evaluating them did not help their acceptance! In fact, one often has to calculate approximate values. For this, what better than a good algorithm? You undoubtedly know Heron's method or the digit-by-digit extraction method, but this feature will finally help you understand "why and how it works".

A sharp topic: the rhombus

Forgotten quadrilateral, little-known parallelogram, the rhombus is a figure almost ignored by geometry: its mathematical properties seem rather meager. Yet it retains a share of mystery, which this feature will help you unravel. First of all, the origin of the word "rhombus" remains enigmatic. Then, one may wonder whether every rhombus has an incircle, or is circumscribed by a circle (think about it for a moment, these are not such obvious questions!). Or whether one can construct polyhedra whose faces are rhombuses. Finally, just as there are "magic squares", there has recently existed a "magic rhombus"!

All articles in this issue

Tangente Day 2023 at the Musée des Arts & Métiers
History and Culture

Tangente Day 2023 at the Musée des Arts & Métiers

Come celebrate the Trophées Tangente day, the world's only magazine of mathematical culture sold at newsstands! There will be something for every taste, every age and every level. Here is a preview of what this full day has in store.

Oct 24, 2022
Portrait of Luca Pacioli:
History and Culture

Portrait of Luca Pacioli:

Until January 8, 2024, the Louvre Museum is hosting an exhibition that should interest all our readers: "Naples in Paris: The Louvre Hosts the Museo di Capodimonte."

La rédaction de TangenteOct 16, 2023
Tête-à-tête chercheuse(s),
Math for everyone

Tête-à-tête chercheuse(s),

Nathalie Ayi, a researcher and associate professor at Sorbonne Université, also created and hosts the podcast Tête-à-tête chercheuse(s).

Martine BRILLEAUDOct 16, 2023
A well-deserved medal
History and Culture

A well-deserved medal

The MATh.en.JEANS association has won the CNRS science outreach medal

ELISABETH BUSSEROct 16, 2023
Marguerite's Theorem:
History and Culture

Marguerite's Theorem:

Anna Novion's film Marguerite's Theorem had already won numerous prizes and awards before it even reached cinemas. Anna Novion, the director, and Ariane Mézard, the mathematician who advised her, agreed to answer Tangente's questions.

Anne BoyéOct 16, 2023
Dust in the corners
History and Culture

Dust in the corners

The beauty of fractal curves fascinates amateurs and seasoned mathematicians alike. The latter, however, know that these objects also give rise to subtle problems in measure theory. Here we illustrate an apparently paradoxical situation and a delicate theorem.

ROGER MANSUYOct 16, 2023
The hidden riches of the multiplication table
History and Culture

The hidden riches of the multiplication table

Think you know your multiplication tables? Think again! A surprising property emerges when a regular polygon is drawn on the multiplication table: the mean of the values at its vertices is the value at the polygon's center!

CHARLES DELAPORTEOct 16, 2023
Reading ancient and medieval mathematicians
History and Culture

Reading ancient and medieval mathematicians

In 2018, the British publisher Routledge launched a series entitled "Scientific Writings from the Ancient and Medieval World" with a Babylonian astronomical handbook.

ANTOINE HOULOU-GARCIAOct 16, 2023
La Maison des mathématiques de l’Ouest
History and Culture

La Maison des mathématiques de l’Ouest

Activities that bring artists and mathematicians together to share mathematics with the public are flourishing across Pays de la Loire and Brittany. A Maison des mathématiques de l’Ouest was established to bring them together.

B. Lallier-MaisonneuveOct 17, 2023
Death of Gilles Cohen, founder and director of Tangente magazine
History and Culture

Death of Gilles Cohen, founder and director of Tangente magazine

Nov 22, 2023