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What is the shortest distance between a straight line and a curve?

If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.


What is meant by tangent to a curve at a point?

It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.


How can we measure the length of curved line by using thread and divider?

To measure the length of a curved line using a thread and divider, first, place the thread along the curve, ensuring it follows the curvature closely without any slack. Once the thread is laid out along the entire length of the curve, mark the point where it meets the starting point. Then, remove the thread and use a ruler to measure the length of the section of the thread that corresponds to the curve. Alternatively, you can use the divider to mark intervals along the thread and then measure those intervals to get a more accurate length.


What is the name given to a straight line that touches a curve?

In geometry a straight line that touches a curve is called a tangent.


Do a straight line and a curved line form avertex at its joining point?

A tangent at that point where a straight line just touches a curve and a secant line when the straight line bisects the curve.

Related Questions

How do you measure a curved line on a map?

You can measure a curved line on a map by using a string or measuring tape to match the curve and then measuring the length against a ruler or a map scale. Alternatively, you can break down the curve into smaller straight line segments and then add up their lengths to get an estimate.


What is the shortest distance between a straight line and a curve?

If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.


What is the meaning of regular curve line?

how i do curve line


How can you measure the length of a curved line?

You can measure the length of a curved line by using a flexible measuring tape following the curve or by breaking it down into smaller straight segments and adding them up. Another option is to use a formula that calculates the arc length of a curve based on its equation and limits.


What is a parabolic integer?

it's a curve and a line but not a curve ANDa line


What is the difference between curve and curvature?

Curvature :act of curving, state of being curved; measure of the degree of a curve in a line. Curve:line that is not straight, continuously bending line; bend, turn (in a road) Reference: babylon Dictionary


What is meant by tangent to a curve at a point?

It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.


What is a curve line?

A curved line is a line that is not straight.


What is a line or smooth curve?

Between the two point line to say that is both a curve and there are clear.


What is a slope line?

is it a line that is slanted


In maths what is a tangent and what is a chord?

Tangent:In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.Chord:A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.


What is a line that is not straight?

A curve.