Ben Northrop

1. Let a be a point [distinct from . . . ].
2. Let a be a point on L [distinct from . . . ].
3. Let a be a point on L between b and c [distinct from . . . ].
4. Let a be a point on L extending the segment from b to c [with a distinct from. . . ].
5. Let a be a point on the same side of L as b [distinct from. . . ].
6. Let a be a point on the side of L opposite b [distinct from. . . ].
7. Let a be a point on a [distinct from . . . ].
8. Let a be a point inside a [distinct from . . . ].
9. Let a be a point outside a [distinct from . . . ].

1. Let L be the line through a and b [distinct from . . . ].
2. Let a be the circle with center a passing through b [distinct from . . . ].

1. Let a be a point of intersection of L and M [distinct from . . . ].
2. Let a be a point of intersection of C and L [distinct from . . . ].
3. Let a and b be the two points of intersection of C and L [distinct from . . . ].
4. Let a be a point of intersection of L and C between b and c [distinct from . . . ].
5. Let a be a point of intersection of L and C extending the segment from c to b [distinct from . . . ].
6. Let a be a point of intersection of C and D [distinct from . . . ].
7. Let a and b be the two points of intersection of C and D [distinct from . . . ].
8. Let a be a point of intersection of C and D on the same side of L as b where L is the line through their centers c and d respectively [distinct from . . . ].
9. Let a be a point of intersection of C and D on the side of L opposite b where L is the line through their centers c and d respectively [distinct from . . . ].

I'm currently living in Pittsburgh, PA, working as a Senior Technical Consultant for Summa, and just finished up my Masters degree in Philosophy. (thesis here!) My blog is mostly on understanding how to better analyze, make, and influence decisions in the world of enterprise software development. Subscribe here or write me at ben_northrop at yahoo dot com.