- #1
Edwin
- 162
- 0
I understand that to calculate the length in one dimension requires two points. And to calculate the lengths of the sides of a triangle in two dimensions requires 3 points.
The question I have is for the points A, B, and C at the vertices of a triangle: If one of the points is missing, that is, not on the graph, is it possible to calculate the lengths of all three sides of the triangle?
In other words...
If the length between A and B is the double closed interval [a, b], and the length between A and C is the double open interval (a, c) and the distance between B and C is the double open interval (b, c), can the lengths of the three sides of the triangle be calculated exactly? That is, with the existence of only two (A and B) out of the three points (A, B, and C) on the graph of the triangle, is it possible to have a triangle?
Inquisitively,
Edwin G. Schasteen
egschasteen@yahoo.com
The second question I have, which arrises from the question above...
Can the "limit as x approaches a" (lim x->a) be formally defined (three bar equal sign instead of two) as "the half open interval from x to a where a is the missing point in the interval" [x, a)?
That is:
Does lim x-> def= [x, a)?
Inquisitively,
Edwin G. Schasteen
egschasteen@yahoo.com
The question I have is for the points A, B, and C at the vertices of a triangle: If one of the points is missing, that is, not on the graph, is it possible to calculate the lengths of all three sides of the triangle?
In other words...
If the length between A and B is the double closed interval [a, b], and the length between A and C is the double open interval (a, c) and the distance between B and C is the double open interval (b, c), can the lengths of the three sides of the triangle be calculated exactly? That is, with the existence of only two (A and B) out of the three points (A, B, and C) on the graph of the triangle, is it possible to have a triangle?
Inquisitively,
Edwin G. Schasteen
egschasteen@yahoo.com
The second question I have, which arrises from the question above...
Can the "limit as x approaches a" (lim x->a) be formally defined (three bar equal sign instead of two) as "the half open interval from x to a where a is the missing point in the interval" [x, a)?
That is:
Does lim x-> def= [x, a)?
Inquisitively,
Edwin G. Schasteen
egschasteen@yahoo.com