Category
Category. General sentences
1. A pyramid is cut by two parallel planes, so the cut figures are similar. Their contents are related as the squares of their distances from the top of the pyramid.
2. The four centroids of a three-sided pyramid intersect at one point, the center of gravity of the pyramid. This divides each median in proportion 3:1, calculated from the top (centroid set).
3. Two bodies have the same content, If you, placed on one and the same level with bases of equal size, be intersected by each parallel plane in areas of the same content (Theorem of Cavalieri).
4. For any polyhedron with e vertices, f faces and k edges, Euleb's polyhedron theorem applies:
e + f = k + 2