Moritz Pasch (8 November 1843, Breslau, Prussia (now Wrocław, Poland) – 20 September 1930, Bad Homburg, Germany) was a German mathematician of Jewish ancestry specializing in the foundations of geometry. He completed his Ph.D. at the University of Breslau at only 22 years of age. He taught at the University of Giessen, where he is known to have supervised 30 doctorates. In 1882, Pasch published a book, Vorlesungen über neuere Geometrie, calling for the grounding of Euclidean geometry in more precise primitive notions and axioms, and for greater care in the deductive methods employed to develop the subject. He drew attention to a number of heretofore unnoted tacit assumptions in Euclid's Elements. He then argued that mathematical reasoning should not invoke the physical interpretation of the primitive terms, but should instead rely solely on formal manipulations justified by axioms. This book is the point of departure for: * Similarly concerned Italians: Peano, Mario Pieri, Alessandro Padoa * Hilbert's work on geometry and mathematical axiomatics in general; * All modern thinking about the foundations of Euclidean geometry. Pasch is perhaps best remembered for Pasch's axiom: Given three noncollinear points a, b, c and a line X not containing any of these points, if X includes a point between a and b, then X also includes one and only one of the following: a point between a and c, or a point between b and c. In other words, if a line crosses one side of a triangle, that line must also cross one of the two remaining sides of the same triangle. (Wikipedia).
Zahlen und Geometrie. Antrittsvorlesung Prof. Peter Scholze
Am dies academicus der Universität Bonn im lfd. Sommersemester 2017 hat Prof. Dr. Peter Scholze (geb. 1987, u. a. Leibniz-Preisträger) seine Antrittsvorlesung gehalten. Peter Scholze ist Hausdorff Chair am Exzellenzcluster Hausdorff Center for Mathematics der Universität Bonn. Weitere Inf
From playlist Peter Scholze
PotW: Prove Pasch’s Postulate as a Theorem [Geometry]
If this video is confusing be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2018/11/problem-of-week-11-08-18-prove-paschs.html
From playlist Center of Math: Problems of the Week
English version here: https://youtu.be/sedRkfTNCRE Abonniert den Kanal oder unterstützt ihn auf Steady: https://steadyhq.com/en/brightsideofmaths Offizielle Unterstützer in diesem Monat: - William Ripley - Petar Djurkovic - Mayra Sharif - Dov Bulka - Lukas Mührke - Khan El - Marco Molina
From playlist Maßtheorie und Integrationstheorie
Murat Erdemsel & Sigrid Van Tilbeurgh - Vals
From playlist Tango
SWITZERLAND: St. Moritz winter carnival (1930)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVAAZZG9P4NPE7ER23XZVQ9ENGCU-SWITZERLAND-ST-MORITZ-WINTER-CARNIVAL Visitors to St Moritz turn out in full force to join in the fun at season's first carnival. Full Description: SLATE INFORMA
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
SWITZERLAND / CURLING: Curling at St. Moritz (1928)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVA202SBU6RCJ95Z8GUSPYIIAZUK-SWITZERLAND-CURLING-CURLING-AT-ST-MORITZ Curling at Saint Moritz. Full Description: SLATE INFORMATION: Curling at St. Moritz. Exponents of the game find joy on t
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
SWITZERLAND: Skating waiters serve skaters at St Moritz (1928)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVACAEN5NVSDNVEH7B9RITYAJ6E6-SWITZERLAND-SKATING-WAITERS-SERVE-SKATERS-AT-ST-MORITZ Skating waiters serve skaters at Saint Moritz. Full Description: SLATE INFORMATION: Seen on the Ice. Skati
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
Special thanks to patron Skylar Weston for suggesting this video topic. Support the channel on Patreon and help choose future topics: https://www.patreon.com/usefulcharts CREDITS: Chart/Script: Matt Baker https://usefulcharts.com Narration: @JackRackam Intro animation: @AlMuqaddimahYT I
From playlist Royal Family Trees
How do you Escape from an Exploding rocket? - Launch Escape Systems
Get Readly with 1 month FREE here: https://gb.readly.com/2020-curiousdroid Ever wondered what might happen if a rocket developed a problem on the launchpad or the launch and how the crew might escape. Well that something which has been used ever since the very first manned mission and con
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NASA's Mega Hubble - The Roman Space Telescope
https://brilliant.org/CuriousDroid What do you do when the NRO (National Reconnaissance Office) makes you an offer you can't refuse?. Well in the case of NASA you update an existing design to create a Hubble on steroids that can cover the same amount of sky as one hundred Hubble's, drastic
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F-4 Phantom, The Ultimate Cold War Warrior
This video is sponsored by Blinkist, the first 100 people to go to https://www.blinkist.com/curiousdroid will get FREE unlimited access for 1 week to try it out. You will also get 25% off the full membership price. The Macdonell Douglas F-4 was the more widely produced and internationally
From playlist Planes, Trains and Automobiles
SWITZERLAND: Winter Sports (1930)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVABTVUCYJBF91ZD645EWICWQPPG-SWITZERLAND-WINTER-SPORTS The season opens and enthusiasts enter with zest into the enjoyment of all that St Moritz has to offer. Full Description: SLATE INFORMA
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
What happened to the British aircraft industry?
Considering the UK was at the forefront of aviation, the fall and rise of the British aircraft and defence industry is one of the lesser-known subjects even to us Britians who often see the fall of manufacturing as just one way, though the British government has sometimes made things much
From playlist Planes, Trains and Automobiles