Proposition Replicated

Proposition III.11

If two circles touch one another internally, and their centres be taken, the straight line joining their centres, if produced, will fall on the point of contact of the circles.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:III.11

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (1)

I.20

PropositionProposition III.11

Outgoing (2)

III.12 III.13

Full neighborhood

Depends on (1)

I.20Proposition I.20In any triangle two sides taken together in any manner are greater than the remaining one.

Required by (dependents) (2)

III.12Proposition III.12If two circles touch one another externally, the straight line joining their centres will pass through the point of…
III.13Proposition III.13A circle does not touch a circle at more points than one, whether it touch it internally or externally.

Discussion

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