Mathematics: Running fixes

Posted on April | 5th | 2008

Posted by admin

The som of angles in a triangle is 180°

construction 180 degrees total Let line DAE be parallel to line BC, then the angles α and α equal angles DAB and EAC, respectively. Therefore, the sum of angles in the triangle is 180° : a straight line.

“Doubling the angle” yields two equal angles

α = 30° , β = 60°
thus γ = 30°

So, α + δ + γ = 180°
α + 180 - β + γ = 180°
2α = β
α + 180 - 2α + γ = 180°
180° - α + γ = 180°
-α + γ = 0
γ = α

Two equal angles render an triangle isosceles

isosceles triangle if two angles are equal In the triangle on the right, α = γ and β = 2α.
By constructing the bisector h of angle β we create two little triangles in which x=y.
Therefore, d₁=d₂. Next math chapter: Distance of horizon