In some ways, I understand and in others, I am completely lost. D:
Ok so looking at the image:
O: circumcenter which I believe is the center of the larger circle
G: centroid Perhaps just a point in space? Can be measured by distance to all other points?
H: orthocenter Hmm... Well, H is measured by the distance to I which is the center of the smaller inner circle... but I haven't a clue what an othrocenter is without looking it up.
I: incenter Center of inner circle.
R: circum radius Larger circle's radius
r: inradius radius of inner circle
s: semiperimeter Ok, where is s on the graph? Is this a general equation to get the perimeter for half a circle? Or half of some other shape?
S= a+b+c/2 makes sense: a, b, and c are the sides of the triangle and dividing it by 2 you would get half the triangle... or is it the larger circle? haha maybe not
I am unsure of what she means by s-a, s-b, s-c... are these the radii of s to a, s to b, and s to c?
This is why I am not a math major. D:
I have no clue what Heron's Formula nor Euler's Inequality is without looking it up.
So my question: is it possible to come to a conclusion like this with just a basic grasp of geometry? Or do you need to know more?
Ok... this sure seems to be getting very complicated. Working with multiple equations with this thing she made... now I am just plain lost.