Proposition Replicated
Proposition II.5
If a straight line be cut into equal and unequal segments, the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section is equal to the square on the half.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:II.5
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 (6)
- I.10Proposition I.10To bisect a given finite straight line.
- I.31Proposition I.31Through a given point to draw a straight line parallel to a given straight line.
- I.34Proposition I.34In parallelogrammic areas the opposite sides and angles are equal to one another, and the diameter bisects the areas.
- I.36Proposition I.36Parallelograms which are on equal bases and in the same parallels are equal to one another.
- I.43Proposition I.43In any parallelogram the complements of the parallelograms about the diameter are equal to one another.
- I.46Proposition I.46On a given straight line to describe a square.
Required by (dependents) (4)
- II.6Proposition II.6If a straight line be bisected and a straight line be added to it in a straight line, the rectangle contained by the…
- II.14Proposition II.14To construct a square equal to a given rectilineal figure.
- III.35Proposition III.35If in a circle two straight lines cut one another, the rectangle contained by the segments of the one is equal to the…
- 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…
Discussion
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