📘 Galois' Group Theory Explore the ideas behind Galois' remarkable insights into equations and symmetry. Discover the mathematical thinking that helped shape modern algebra. amazon.com/dp/B0DWXVS5VZ #Math #GaloisTheory

The figure shows a regular hexagon and a regular heptagon. How many times as large as angle x is angle y? #mathpuzzle #Geometry #GeometricProblem

Two semicircles are drawn externally on sides AB and AC of right isosceles triangle ABC, with these sides as their diameters. Points D and E are the midpoints of arcs AB and AC, respectively. If BC = 4, find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem

October 26, 1849 — Ferdinand Frobenius was born. A pioneer of modern algebra, he developed group representation theory and the Frobenius endomorphism, shaping today’s understanding of symmetry and field theory. 🔢✨ #OnThisDay #Math #Frobenius

Oct 25, 1811 — Évariste Galois was born. A mathematical prodigy who founded Galois theory, he revealed the deep link between equations and symmetry—transforming algebra forever. He died at just 20, yet his ideas live on. ♟️📐 #OnThisDay #Mathematics #Galois

The black dots on side AB divide it into five equal segments. Triangles ABC, CDF, and CEG are equilateral. The area of triangle ABC is 5. #mathpuzzle #Geometry #GeometricProblem

October 24, 1804 — Wilhelm Eduard Weber was born. A pioneer of electromagnetism, he co-invented the first electromagnetic telegraph with Gauss. The SI unit of magnetic flux, the weber, was later named in his honor for his foundational work. ⚡📡 #OnThisDay #Physics #Weber

ABC and ADE are equilateral triangles. Given that BD = 2 and CD = 4, find CF. #mathpuzzle #Geometry #GeometricProblem

October 23, 1908 — Ilya Frank was born. He shared the 1958 Nobel Prize in Physics for explaining Cherenkov radiation—light emitted when charged particles move faster than light in a medium. His work advanced high-energy physics. ⚡💡 #OnThisDay #Physics #Cherenkov

October 23, 1905 — Felix Bloch was born. He unveiled how electrons move in crystals, laying the foundation of solid-state physics. 🧭💎 Nobel laureate and co-creator of NMR, his work echoes in today's MRI technology. #OnThisDay #Physics #Bloch

Regular octagon. Find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem

October 22, 1881 — Clinton Davisson was born. He shared the 1937 Nobel Prize in Physics for showing electron diffraction, confirming matter's wave nature. His work laid the foundation for quantum mechanics and modern electron microscopy. ⚛️🔬 #OnThisDay #Physics #Davisson

As shown in the figure, OAB is a sector with a central angle of 150° and a radius of 4. The region bounded by chord AB and arc AB is folded along line BC. If ∠ABC = 20°, find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem

AB=BC=CD=DA=AE=EF=FA. Find the measure of ∠BAE. #mathpuzzle #Geometry #GeometricProblem

October 20, 1891 — James Chadwick was born. He discovered the neutron in 1932, unveiling the missing piece of the atomic nucleus and transforming nuclear physics. His work paved the way for both nuclear energy and modern particle science. ⚛️✨ #OnThisDay #Physics #Chadwick

October 19, 1910 — Subrahmanyan Chandrasekhar was born. He unveiled the limits of stellar stability—the Chandrasekhar limit—showing how massive stars collapse into white dwarfs or beyond. A pioneer who illuminated the life and death of stars.🌟 #OnThisDay #Physics #Chandrasekhar

Triangle ABD is equilateral with side length 7. AE = CD = 3, BC = DE = 5. Find BE. #mathpuzzle #Geometry #GeometricProblem

October 17, 1888 — Paul Bernays was born. A key figure in mathematical logic, he collaborated with Hilbert to build the foundations of mathematics and co-developed the Hilbert–Bernays system, shaping modern formalism. ✦📘 #OnThisDay #Mathematics #Logic

AB = 9, BC = 12, and ∠A = 2∠C. Find AC. #mathpuzzle #Geometry #GeometricProblem

October 16, 1918 — Abraham Nemeth was born. A blind mathematician and creator of the Nemeth Braille Code for Mathematics, he opened the world of math and science to many visually impaired learners. 📘 #OnThisDay #Mathematics #Accessibility