janandbillysc

One pair of intersecting tangent lines (one point, e g 300,60) can be common to many circles.  Two pair of intersecting tangent lines (two points, e g 300,60, and 270,30) specify one, and only one,...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.

To clarify:  For circles 'below' the intersection, the point of intersection is named (300,60); for circles 'above' the  intersection the point of intersection is named (120,240).  Two names for th...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.

Consider the point (300.60) which names the intersection of two tangents of a circle drawn at 300 degrees and 60 degrees of the circle.  Now, extend these tangent lines in both directions.  Any (ev...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.

Yes, to your suggestions.  I think we're on the same page.  As to specifying the radius of the circle, mightn't it be a "unit" circle, in the same way that a square in the Cartesian plane is a 'uni...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.

This is an edited version of my post above that more clearly expresses what I was trying to get at: Any point outside a circle may be specified, or named, by reference to the two tangent lines draw...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.

Thank you so much.  This very helpful.  A vector together with a distance and the intersection of two tangents are two ways of naming the same point.  Perhaps they are both polar coordinates.  I'll...

1. Hamjamiyat
2. Study Group
3. Coordinate plane based on tangents to a circle.