Proposition Replicated
Proposition III.18
If a straight line touch a circle, and a straight line be joined from the centre to the point of contact, the straight line so joined will be perpendicular to the tangent.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:III.18
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 (2)
Required by (dependents) (7)
- III.19Proposition III.19If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the…
- III.32Proposition III.32If a straight line touch a circle, and from the point of contact there be drawn across, in the circle, a straight line…
- III.36Proposition III.36If a point be taken outside a circle and from it there fall on the circle two straight lines, and if one of them cut…
- III.37Proposition III.37If a point be taken outside a circle and from the point there fall on the circle two straight lines, if one of them cut…
- IV.3Proposition IV.3About a given circle to circumscribe a triangle equiangular with a given triangle.
- IV.7Proposition IV.7About a given circle to circumscribe a square.
- IV.12Proposition IV.12About a given circle to circumscribe an equilateral and equiangular pentagon.
Discussion
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