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# janandbillysc

• janandbillysc commented,

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,...

• janandbillysc commented,

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...

• janandbillysc commented,

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...

• janandbillysc commented,

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...

• janandbillysc commented,

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...

• janandbillysc commented,

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...

• janandbillysc created a post,

### Coordinate plane based on tangents to a circle.

Any point outside a circle may be specified, or named, by reference to the two tangent lines drawn from the point to the circle.  Could this be the basis for creating a coordinate plane, albeit a c...

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