Proposition Replicated
Proposition I.12
To draw a perpendicular straight line to a given infinite straight line from a given point not on it.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.12
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)
- II.12Proposition II.12In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the squares on the sides…
- II.13Proposition II.13In acute-angled triangles the square on the side subtending the acute angle is less than the squares on the sides…
- III.14Proposition III.14In a circle equal straight lines are equally distant from the centre, and those which are equally distant from the…
- III.15Proposition III.15Of straight lines in a circle the diameter is greatest, and of the rest the nearer to the centre is always greater than…
- IV.4Proposition IV.4In a given triangle to inscribe a circle.
- IV.13Proposition IV.13In a given pentagon, which is equilateral and equiangular, to inscribe a circle.
- XI.11Proposition XI.11From a given elevated point to draw a straight line perpendicular to a given plane.
Discussion
No replications, contradictions, or comments registered yet for this claim.