Horta: The Benefits of Greece's Magical Greens - GreekReporter.com

Everyone who has a friend or relative from Greece has heard of "horta," which literally refers to the humble "weed" in English.

GreekReporter.com
Horta: The Benefits of Greece's Magical Greens - GreekReporter.com

Everyone who has a friend or relative from Greece has heard of "horta," which literally refers to the humble "weed" in English.

GreekReporter.com

📐 #Mathematik

Warum gilt a²+b²=c²? Stell dir auf den Seiten eines rechtwinkligen Dreiecks Quadrate vor. Die beiden kleinen Flächen lassen sich ohne Lücke in das große schieben – 3²+4²=5². Nützlich für Bau & Games! #Pythagoras #Mathe #Lernen

According to the biography by Diogenes Laertius, Pythagoras (c.570–c.490 BCE) ‘held that the most beautiful figure is the sphere among solids, and the circle among plane figures’.

This aesthetic preference for the circle and sphere can be traced through thinkers like Plato (who, according to later writers, set the problem of describing the movements of the heavens using uniform circular motions), Cicero (106–43 BCE), and Proclus (410/12–485 CE), and into the middle ages.

Thomas Bradwardine (1290/1300–1349), one of the mediaeval ‘Oxford calculators’, was obviously influenced by this tradition when he wrote that the circle ‘is the first and most perfect of figures, the simplest and most regular, the most capacious and the most beautiful of figures’.

But Bradwardine then presented evidence that he saw as attesting to the beauty and perfection of the circle: (1) the construction to find the centre of a circle by bisecting a diameter found as the perpendicular bisector of a chord; (2) that the intersections of six equally-spaced radii with the circumference define a regular hexagon; (3) that exactly six circles of equal size can touch a given circle (see attached image).

For Bradwardine, the perfection of the circle was thus linked to the perfection of the number 6 = 1+2+3: the construction involves six intersections with the circle; the hexagon is made up of six lines; the third result involves six outer circles.

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#MathematicalBeauty #HistMath #Pythagoras #Bradwardine #geometry #aesthetics #PerfectNumber

📐 #Mathematik

Die Katheten a & b im 90°-Dreieck: a² + b² ergibt exakt die Fläche des Quadrats über der Hypotenuse c. So findest du fehlende Strecken beim Bauen, Zeichnen oder Zocken. Immer gültig, solange der Winkel recht ist! #Pythagoras #Mathe #Lernen

More specifically, Vincenzo Galilei demonstrated w/experiments that the long held belief that string lengths & tones do not always have a linear relation. Writing on this from #Pythagoras misinformed all studies from ~600 BC to ~1600. That's a lot of momentum! Mersenne reproduced & improved on it.

📐 #Mathematik

Die Katheten a & b im 90°-Dreieck: a² + b² ergibt exakt die Fläche des Quadrats über der Hypotenuse c. So findest du fehlende Strecken beim Bauen, Zeichnen oder Zocken. Immer gültig, solange der Winkel recht ist! #Pythagoras #Mathe #Lernen