Pagini

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Pagini

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Pagini

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luni, 29 septembrie 2025

An easy problem for... Leonhard EULER // Ein einfaches Problem für... Leonhard Euler

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 I've messed up my blogs ( petrell-man and/or mathematyka2 ), and none of them know how to type in LaTeX. And then I made a third one  ...
miercuri, 24 septembrie 2025

"THE TREEPENNY OPERA" : Identities with sums of three binomials // "DIE DREIGROSCHEN OPERA" : Identitäten mit Summen von drei Binomien

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 Inspiration from the title of a Bertolt BRECHT play.                   We propose to establish algebraic identities of the form : $x^2+(x...
marți, 16 septembrie 2025

In a Triangle, a Median is equal to an Altitude : $m_B=h_A$ // In einem Dreieck hat die Mediane die gleiche Länge wie die Höhe

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I didn't discover that an altitude and a median in a triangle can be equal. However, if  $h_A$  is equal to  $m_A$  it also appears in t...
vineri, 12 septembrie 2025

A Curious Inequality with... Radicals // ... रेडिकलहरूसँगको एउटा जिज्ञासु असमानता

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 The page presents the problems from the fifth onwards proposed for the 7th grade (the first four are on the previous page) As it says on th...
miercuri, 10 septembrie 2025

Neculai STANCIU (Buzău) in the MATHEMATICAL JOURNAL // Neculai STANCIU (Buzău) în GAZETA MATEMATICĂ

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 In the recent issue of the Exercise Supplement (aka SGM ) he proposed the Problem S:E25.199 . The problem statement is :                  ...
duminică, 7 septembrie 2025

Starting from a Trigonometric Identity without variables // Ξεκινώντας από μια Τριγωνομετρική Ταυτότητα χωρίς μεταβλητές

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           We have on my Page, at No. 6 , the Identity $\frac{\tan10^{\circ}}{\tan20^{\circ}\cdot \tan40^{\circ}}=\frac{1}{\sqrt{3}}$ It is ...

A forgotten trigonometric equation // Egy elfeledett trigonometrikus egyenlet

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 We will solve the following trigonometric equation here : $$\tan(30^{\circ}-x)\cdot \tan(30^{\circ}+x)=\frac{\tan x}{\sqrt{3}} \tag{1}$$ I ...