true
If you go by what he said, then yes. He did defined a point which has no part. However, you should be asking is what the hell does he mean by "parts"? Turns out the Greek mathematics definition of part is equivalent to our definition of dimensions. So what he meant to say was a point is defined as something with no width or length or thickness.
a point has one line and two vertices
Euclid's parallel postulate.
Euclid wrote them
true
If you go by what he said, then yes. He did defined a point which has no part. However, you should be asking is what the hell does he mean by "parts"? Turns out the Greek mathematics definition of part is equivalent to our definition of dimensions. So what he meant to say was a point is defined as something with no width or length or thickness.
Not necessarily. In fact Euclid's axioms establish the existence of a line as being defined by two points, and the existence of a point that is not on that line.
a point has one line and two vertices
Strictly speaking, the only geometric item that has neither length nor width is a "point", but as such, it is not considered a "figure". A geometric figure is defined as a "set of points". I suppose a point could be thought of as a set containing only one element, but that rather contradicts the intention of the definition where it refers to points in the plural.As Euclid defined it: A figure is that which is contained by any boundary or boundaries.
In mathematics, a ray is defined as a part of a line that has one endpoint and extends indefinitely in one direction. It is represented by a single point and an arrow indicating the direction of the line.
Akron, OH
Grosse Pointe, Michigan is halfway between Waterford & Euclid
The first man to define prime numbers in 300 BC. was a Greek mathematician named Euclid.
A little north of where 480 intersects with 77
Euclid was Greek.
what occupations does Euclid have