In geometry, there are surfaces that do without an inside or outside—and some need at least four dimensions to exist ...

Learn about CDS Syllabus 2026 including detailed subject-wise topics for English, General Knowledge, and Elementary ...

Do you remember the Pythagoras Theorem, which you once studied in Mathematics, was a discovery of Pythagoras? In today’s time ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

Geometry boasts a rich and captivating history within the realm of mathematics. In its early development, it was deeply rooted in practical observation used to describe essential concepts such as ...

Napoleon Bonaparte, First Consul. Work by Ingres. It was during this period that he came into contact with the theorems. Credit: Public domain / Wikimedia Commons His political stance allowed him to ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

The portly, balding sculptor-turned-architect must have drawn a few curious gazes as he set up a complicated painting apparatus in the corner of a Renaissance-era piazza. He planted his instrument, ...

THIS book deals only with Euclid's Books III. and IV. Although the original order of the propositions has been maintained, there are many divergences as regards the treatment of his methods. In the ...

GeoLogic can handle five types of objects: Point (P), Line (L), Circle (C), Angle (A) (which include a direction of a line or a "length" of an arc), and Ratio (D) (ratio of products of lengths, ...

Differential Geometry. Prerequiste: MATH 224. This course studies the geometry of curves and surfaces in Euclidean space: intrinsic and extrinsic geometry, curvature, structural equations of ...