Focused trig search for learners

2+ week, 2+ day ago   (582+ words) Ancient Indian mathematician Baudhayana was the first person to formulate a theorem on right-angled triangles that in its modern form came to be associated with Greek mathematician Pythagoras, a newly released Class 8 mathematics textbook by the National Council of Educational…...

3+ week, 2+ day ago   (1036+ words) Akshat was working through a standard geometry exercise, the chapter that introduces the right-angled triangle and the formula a + b = c. He paused for a moment, not because the problem was difficult, but because the theorem's name caught his attention. Why…...

1+ mon, 6+ day ago   (571+ words) Do you remember the Pythagoras Theorem, which you once studied in Mathematics, was a discovery of Pythagoras? In today's time, people often wonder when Pythagoras was born, his full name, and his contribution to mathematics." Around 530 BCE, Pythagoras settled in…...

1+ mon, 3+ week ago   (313+ words) For Pythagoras, mathematics was not an abstract invention but a sacred language revealing the hidden order of the cosmos, from which arose one of antiquity's most enduring and poetic theories: the harmony of the spheres, or musica universalis. This vision…...

2+ mon, 1+ day ago   (58+ words) Here are four theorems that generalize the Pythagorean theorem. Follow the links for more details regarding each equation. 1. Theorem by Apollonius for general triangles. 2. Edsgar Dijkstra's extension of the Pythagorean theorem for general triangles. 3. A generalization of the Pythagorean theorem…...

2+ mon, 6+ day ago   (195+ words) The area of a triangle can be computed directly from the lengths of its sides via Heron's formula. Here's is the semiperimeter,'s = (a +'b +'c)/2. Is there an analogous formula for spherical triangles? It's not obvious there should be, but…...

2+ mon, 1+ week ago   (865+ words) There have been some of the greatest mathematicians of all time in the history. They have given a new dynamic to the world of Mathematics, from ancient geometry to modern computer science. Across centuries, a few exceptional minds have stood…...

2+ mon, 1+ week ago   (216+ words) A tetrahedron has four triangular faces. Suppose three of those faces come together like the corner of a cube, each perpendicular to the other. Let A1, A2, and A3 be the areas of the three triangles that meet at this corner and let…...

2+ mon, 1+ week ago   (1075+ words) Manimas said, "I searched for the solution for fifty-five years. I was thirteen years old when I first believed that there had to be a positive solution. I felt certain that the Pythagoreans would only assign their students a puzzle…...

2+ mon, 2+ week ago   (123+ words) Apollonius of Perga (c. 262 BC " c. 190 BC) discovered a theorem that generalizes the Pythagorean theorem but isn't nearly as well known. Let ABC be a general triangle, and let D be the midpoint of the segment AB. Let'a be the length of…...