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DS-Geometry

Expert replies

by shashank.ism » Fri Feb 19, 2010 1:34 am
ajith wrote:
shashank.ism wrote:
ajith wrote:

A line can be curved, can't it be?
I second that ajith ... yeah after reading this I am thinking ...why can't a line be curved. Unless it is given how can we consider it a straight line. Though in first instance I considered it a straight line only as harsh says this things are basic.
But certainly there is a bit of confusion ..I hope instructors would throw some light over here..
I am sorry for causing the confusion, a line is straight curve [https://en.wikipedia.org/wiki/Line_(geometry)] . So the usage straight line is redundant because lines are always straight. I was wrong and sorry for misleading a few.
Yeah Ajith you posted a good link . It clears all the confusion ..Meanwhile I was also searching for a few basic concept on this and struck upon this link...https://www.mathopenref.com/line.html which says,
A line may be curved, but will not be applicable in this question .It may be curved in solid geometry...so no need to worry about..


Definition :
In solid geometry, a line may actually be curved. For example a line may be drawn on the surface of a sphere. In plane geometry, we define it as totally straight in all dimensions.

If a line is not straight, we usually refer to it as a curve, arc, or curved line. In plane geometry the word 'line' is usually taken to mean a straight line.
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