Salut mes amants des maths!
oh mon dieu.. mon examen a ete horrible :( (My exam didn't go well)
I'm quite certain I didn't perform well on this exam (I'll have to wait until the grades come back)
The presentation on Parallel Postulates didn't leave much time for lecture today, but Dr. Daddel managed to go over some of section 3.4 which covers circles and the pentagon construction. Specifically, he went over the geometric representations of Propositions III-20, III-32, III-35.
Proposition III-20: In a circle the angle at the center is double the angle at the circumference when the angles have the same circumference as base.
Proposition III-32: If a straight line touches a circle, and from the point of contact there is drawn across, in the circle, a straight line cutting the circle, then the angles which it makes with the tangent equal the angles in the alternate segments of the circle.
Proposition III-35: If in a circle two straight lines cut one another, then the rectangle contained by the segments of the one equals the rectangle contained by the segments of the other.
He ended class by asking us to learn the proofs of several other propositions and said we should have our tests back by the next class.
We're supposed to have a quiz on Friday, something I'm already feeling very discouraged about considering my performance on the midterm.
Until next time, mes amis.
Bisous
-MB
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