paper oak
(If anyone wants me to translate ask me in below)
I am in the surface section of the course and I don't seem to understand what the point is about "The first fundamental form"
It states that in a point p on a regulated surface, Ip(v) := v ⋅ v = |v|^2, where v is a vector in the tangent plane to the point p in the surface
What is the point of this statement? Am I missing something or is it just saying that the dot product of a vector with itself is the norm squared? (Which shouldn't be a definition since it can be proved)
And then it goes about to something about the coeficients of the first fundamental form. So the first fundamental form is matrix of numbers?
fossil narwhal