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Pertevniyal Mathematics Club

We are the students of Pertevniyal who see mathematics not merely as a subject or an academic pursuit, but as the purest form of understanding, thinking, and questioning the universe. Because we know that mathematics is not just about numbers, formulas, or exams. Mathematics is the way the human mind structures thought—a universal language we use to comprehend the world, analyze phenomena, and solve complex problems. As the Pertevniyal Mathematics Club, our goal is to speak this language more fluently, to grasp it deeply, and to share it together. Our club provides a space to develop our analytical thinking skills, enhance our problem-solving abilities, and strengthen our approach to abstract reasoning. We aim not only to learn theoretical knowledge but also to explore the thought structures behind it. This club creates an environment where students united by a shared passion for mathematics can freely exchange ideas, learn from one another, collaborate on projects, and think beyond academic boundaries. Through workshops, discussions, studies on the history of mathematics, competitions, and original content creation, we bring mathematics beyond the classroom and into everyday life. We are not just mathematicians—we are a community that lives, thinks, and grows with mathematics. The Pertevniyal Mathematics Club exists through the voice, ideas, and contributions of every student who embraces thinking, questioning, and creating on this journey. Because we believe that true learning begins when we think together.

Anasayfa Görseli


Our last blog

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Is It Possible to Build Mathematics from Scratch?

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The last question we asked

1 Soru Görseli
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Our Proofs

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📐 Trigonometric Ceva Theorem: The Powerful Union of Geometry and Trigonometry!

In a triangle, if three lines intersect at a single point, it’s not just an aesthetic coincidence — it’s a sign of a deep mathematical order.

🔍 To explain this order, the original Ceva’s Theorem was proposed in the 17th century by the Italian mathematician Vincento Ceva.
Later, a version involving the sines of angles instead of side ratios was developed, known as the Trigonometric Ceva’s Theorem.

📚 Where does it show up?

  • The incenter of a triangle (center of the incircle)
  • The centroid and medians
  • Analyses involving cevians (line segments from a vertex to the opposite side)
  • Triangle solving problems and math olympiad questions

🧠 The Depth of Trigonometric Ceva

Did you know there’s such a profound relationship behind lines connecting the corners of a triangle?
Now you do! Trigonometry gives geometry a breath of fresh air. 😌

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