Pyramid
object · 2 works · 4 mentions · 8 anchored passages
pyramid · ABCG · BKTL · DEFH · FMPN · pyramids · the Pyramids · the pyramid · the pyramid EFGK
spoken of as
1 expressionPyramids1 mention
Law in a Free State (English)
if there were no horses, asses, oxen, other beasts of burden, or engines, it is clear that men would be required to do the lifting, carrying, and pulling themselves, just as they did under the Pharaohs who built the Pyramids.
in the texts
Elements
A solid figure with a polygonal base and a vertex, used throughout as the basic solid whose volume is related to prisms, cones, and other pyramids.
But similar pyramids which have triangular bases are to one another in the triplicate ratio of their corresponding sides.
Therefore the pyramid BKTL has to the pyramid FMPN the ratio triplicate of that which BK has to FM.
Similarly, by joining straight lines from A, W, D, V, C, U to K, and from E, S, H, R, G, Q to M, and setting up on each of the triangles pyramids which have the same vertex with the cones, we can prove that each of the similarly arranged pyramids will also have to each similarly arranged pyramid the ratio triplicate of that which the corresponding side BK has to the corresponding side FM, that is, which BD has to FH.
Law in a Free State
The Egyptian monuments referenced as having been built by human labour without beasts of burden, used analogically.
if there were no horses, asses, oxen, other beasts of burden, or engines, it is clear that men would be required to do the lifting, carrying, and pulling themselves, just as they did under the Pharaohs who built the Pyramids.