Proposition Replicated
Proposition III.13
A circle does not touch a circle at more points than one, whether it touch it internally or externally.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:III.13
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (4)
- III.5Proposition III.5If two circles cut one another, they will not have the same centre.
- III.6Proposition III.6If two circles touch one another, they will not have the same centre.
- III.11Proposition III.11If two circles touch one another internally, and their centres be taken, the straight line joining their centres, if…
- III.12Proposition III.12If two circles touch one another externally, the straight line joining their centres will pass through the point of…
Discussion
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