Proposition Replicated
Proposition I.8
If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they will also have the angles equal which are contained by the equal straight lines.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.8
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Required by (dependents) (14)
- I.9Proposition I.9To bisect a given rectilineal angle.
- I.11Proposition I.11To draw a straight line at right angles to a given straight line from a given point on it.
- I.12Proposition I.12To draw a perpendicular straight line to a given infinite straight line from a given point not on it.
- I.23Proposition I.23On a given straight line and at a point on it to construct a rectilineal angle equal to a given rectilineal angle.
- I.48Proposition I.48If in a triangle the square on one of the sides be equal to the squares on the remaining two sides of the triangle, the…
- III.1Proposition III.1To find the centre of a given circle.
- III.3Proposition III.3If in a circle a straight line through the centre bisect a straight line not through the centre, it also cuts it at…
- III.9Proposition III.9If a point be taken within a circle, and more than two equal straight lines fall from the point on the circle, the…
- III.27Proposition III.27In equal circles angles standing on equal circumferences are equal to one another, whether they stand at the centres or…
- III.28Proposition III.28In equal circles equal straight lines cut off equal circumferences, the greater equal to the greater and the less to…
- IV.9Proposition IV.9About a given square to circumscribe a circle.
- VI.5Proposition VI.5If two triangles have their sides proportional, the triangles will be equiangular and will have those angles equal…
- XI.4Proposition XI.4If a straight line be set up at right angles to two straight lines which cut one another, at their common point of…
- XI.10Proposition XI.10If two straight lines meeting one another be parallel to two straight lines meeting one another, not in the same plane,…
Discussion
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