EisatoponAI

Your Daily Experience of Math Adventures

📘 Portify Βιβλία
🧠 Math Chaser PRO
Τράπεζα Πανελλαδικών Εξετάσεων
Διαγωνισμοί ΕΜΕ
IMO Problem Bank
🧊 Rubik Cube

▪ Θεώρημα Monge

Monge’s Theorem by Suman Vaze
Suman Vaze, a high school math teacher in Hong Kong, takes her inspiration directly from mathematical proofs. In Monge’s Theorem, she illustrates one of the more surprising results in geometry. Take three circles on a plane, any three you like as long as they’re different sizes and none is completely inside another. Connect each pair of circles with two lines that both just touch each edge of the two of the circles. Now consider the three points where each of these pairs of lines intersect one another. It turns out that the points will lie on a single straight line.
Vaze found she couldn’t get this theorem out of her head. “It was like a bee in my bonnet,” she says. “I couldn’t shake it off, so I started doodling.” Her doodles reminded her of the Symphony of Lights, the enormous nightly laser show in Hong Kong, which includes lights from 44 buildings on both sides of Victoria Harbor and is orchestrated to symphonic music “It’s out of this world,” she says. She knew this was a theorem she had to capture in a painting.
She also loved the simple proof of the theorem: Imagine each circle with its pair of tangent lines as a slice of a cone. There will be two planes that just touch the three cones, and their intersection will form a straight line. The points where the original lines intersect will also lie in the intersection of the planes, and hence along that same straight line.
Via Science News

Θεώρημα Monge

Έρχεται το πολλαπλό βιβλίο ΝΕΟ — βρες όλες τις επιλογές εδώ

PDF & Ψηφιακά Μαθησιακά Αντικείμενα — χωρίς εγγραφή • Portify

📚 437 βιβλία🎬 22.000+ Ψηφιακά Μαθησιακά Αντικείμενα

Δες τα βιβλία →

Αναρτήθηκε από EisatoponAI στις 21.11.12

Αποστολή με μήνυμα ηλεκτρονικού ταχυδρομείου BlogThis!Κοινοποίηση στο X Μοιραστείτε το στο Facebook Κοινοποίηση στο Pinterest

Ετικέτες Γεωμετρία, Θεωρήματα

Δεν υπάρχουν σχόλια:

Δημοσίευση σχολίου

Από το Blogger.