Proof
Apply I.34 and I.4 to congruent triangles; conclude by Common Notions
2–3.
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Depends on (4)
- I.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
- I.34Proposition I.34In parallelogrammic areas the opposite sides and angles are equal to one another, and the diameter bisects the areas.
- 2Common notion 2If equals be added to equals, the wholes are equal.
- 3Common notion 3If equals be subtracted from equals, the remainders are equal.
Required by (dependents) (3)
- I.36Proposition I.36Parallelograms which are on equal bases and in the same parallels are equal to one another.
- I.37Proposition I.37Triangles which are on the same base and in the same parallels are equal to one another.
- XI.29Proposition XI.29Parallelepipedal solids which are on the same base and of the same height, and in which the extremities of the sides…
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