Both state that the whole is equal to the sum of the component parts.
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
Euclid's first four postulates are:A straight line segment can be drawn joining any two points.Any straight line segment can be extended indefinitely in a straight line.Given any straight line segment, a circle can be drawn havibg the segment as radius and one endpoint as centre.All right angles are congruent. He also had the fifth postulate, equivalent to the parallel postulate. There are various equivalent versions.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side, if extended far enough.The fifth postulate cannot be proven and, in fact, it is now known that it cannot be proven and that there are many internally-consistent geometries in which the negations of this postulate are true.
A line segment that has been cut exactly in half
Segment bisector
No, because Segment Construction Postulate may be use in any rays,there is exactly one point at a given distance from the end of the ray and in Segment Addition Postulate is is you may add only the Lines.
Ab+bc=ac
Both state that the whole is equal to the sum of the component parts.
Segment position postulate
The postulate states that given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as centre. I am not sure that there is more information than that!
Construction of a segment bisector a+
A straight line segment can be drawn joining any two points.
Informally, it simply means "obvious" but in a more formal manner, it is when "something is known to be true by understanding it's meaning without any proof", kind of like a postulate; the answer is what it is because you understand its concept and meaning and there does not need to be any proof. Ex: A________________B_________________C AB+BC=AC Segment Addition Postulate You completely understand it by looking at it and it does not need to be proven with numbers.
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
Euclid's first four postulates are:A straight line segment can be drawn joining any two points.Any straight line segment can be extended indefinitely in a straight line.Given any straight line segment, a circle can be drawn havibg the segment as radius and one endpoint as centre.All right angles are congruent. He also had the fifth postulate, equivalent to the parallel postulate. There are various equivalent versions.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side, if extended far enough.The fifth postulate cannot be proven and, in fact, it is now known that it cannot be proven and that there are many internally-consistent geometries in which the negations of this postulate are true.
A line segment that has been cut exactly in half
premimum segment