The midpoint theorem says the following:
In any triangle the segment joining the midpoints of the 2 sides of the triangle will be parallel to the third side and equal to half of it
theorem always needs proof
There is no theorem with the standard name "1.20". This is probably a non-standard name from a textbook which is either the 20th theorem in the first chapter or a theorem of the 20th section of the first chapter.
He didn't write it. What he did was to write in the margin of a book that he had a proof but there was not enough space to write it there.
You can find an introduction to Stokes' Theorem in the corresponding Wikipedia article - as well as a short explanation that makes it seem reasonable. Perhaps you can find a proof under the links at the bottom of the Wikipedia article ("Further reading").
There are many beautiful proofs in Mathematics and one cannot say that any particular proof is the most elegant. But if I had to choose one, it would definitely be the proof that's associated with the Gödel's Incompleteness Theorem. It is Mathematics at its best. Read more about it from the related link given just below.
Eric Wienstein developed the"Midpoint Theorem"
If M is the midpoint of segment AB, then AMis congruent to MB.
Definition of midpoint: a point, line, or plane that bisects a line so that AB=BC Midpoint theorem: a point, or plane that bisects a line so that line AB is congruent to line BC. A-----------------------------------------------B----------------------------------------------------C The definition of midpoint refers to equality, while midpoint theorem refers to congruency.
math and arithmetic
Parts of formal proof of theorem?
Triangle Midpoint Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
mdpt: point line or plane that bisects a line so that AB=BC. mdpt theorem: point or plane that bisects a line so that AB is congruent to BC.
Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side. Proof: Consider the triangle ABC with the midpoint of AB labelled M. Now construct a line through M parallel to BC.
Theory_of_BPT_theorem
No. A corollary goes a little bit further than a theorem and, while most of the proof is based on the theorem, the extra bit needs additional proof.
When a postulate has been proven it becomes a theorem.
Yes. It is a theorem. To prove it, use contradiction.