There may be an easier way, but this is one way to do it:
1) establish the centerpoint of the given circle.
- pick two random points on the circle and draw intersecting arcs A1 A2 of equal radius centered on those points. Then draw a line through the two points where A1 and A2 intersect. This line will pass through the circle center.
- repeat with two other points. You now have two lines that intersect at the circle centerpoint C.
2) draw a line perpendicular to the given line that passes through C.
- draw an arc centered on C that intersects the given line twice. Repeat the bisecting procedure as before using those two intersection points. Call the newly created line L.
3) draw the desired tangent line.
- call the point where L intersects the given circle P. (Note that there are actually two such points, since there are two solutions to your problem - one on the near side and one on the far side.) Generate two equidistant points on L by drawing a small circle centered on P. Use those new points for the old bisection procedure and you have your answer!
A tangent is a straight line that touches the circumference of a circle at a given point
Adjust the compass to the given line segment then construct the circle.
"tangent" meaning is a line or plane which touches a given curve or solid at a single point.Therefore, by definition there is no tangent to a line.if it were parallel it would not touch.if it were coincident it would touch in all places.
Squaring the Circle
Yes. That's always possible, but there's only one of them.
The tangent line only touches the outside of a circle at one given point. So an outside line perpendicular to the circle's diameter at 90 degrees should do.
A tangent is a straight line that touches the circumference of a circle at a given point
the circle is inscribed in the polygon :]
Adjust the compass to the given line segment then construct the circle.
The direction of a particle moving in a circle at a given time can be found by determining the tangent to the circle at that point. The tangent is perpendicular to the radius of the circle at that point and indicates the direction of motion.
"tangent" meaning is a line or plane which touches a given curve or solid at a single point.Therefore, by definition there is no tangent to a line.if it were parallel it would not touch.if it were coincident it would touch in all places.
Not enough information has been given to find the tangent BC but it will be perpendicular or at right angles to the radius of the circle.
Infinite lines because a circle has infinite lines of symmetry.
... touches each circle in exactly one point on each circle. given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
Join the centre of the circle O and the point A .Extend it to both sides to form a line.This is the required locus
Squaring the Circle