Angles in a Triangle Sum to 180° | Euclid's Elements Book 1 Proposition 32

00:00 Preliminaries
01:00 Reading proposition
07:20 Cannon conversation
07:50 Predictions for the argument
09:30 I need a new monitor
12:00 Should I restart Bible playlist?
19:00 Oh no
21:00 Euclid was the George Floyd of Ancient Greece
24:00 The three philosophies of mathematics
27:00 My new blog (https://zxq9.com/archives/author/doctorajaykumar)
28:40 The point of QAnal and of this playlist
32:30 Back to work
33:55 When the argument clicks and thank you Norman Wildberger
35:35 Why the sum of interior angles in a convex polygon is 180*(number of sides) - 360 degrees
48:08 error that propagates but I catch later, sum should be 360 degrees
52:10 twice as many angles
54:00 Wildberger is clever
56:40 Finishing up
57:55 GeoGebraShow more

(1) B + O - G = 0
(2) B + O + P = 180
(3) P + G = 180

(2) - (1) = (3)
(2) - (3) = (1)

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI32.html
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