... parallelepiped only those class q points are considered that do not fall within the boundaries of the maximum parallelepipeds already constructed . This ensures non rep- etition of the maximum parallelepipeds constructed relative to one ...

David Eugene Smith. Exercises . Parallelepipeds 1. Two rectangular parallelepipeds with congruent bases are to each other as their altitudes . In all such cases the words " the volumes of " are understood . 2. Two rectangular ...

... parallelepipeds AE and CF are also equal to one an- other . Wherefore parallelepipeds which are upon equal bases , & c .: which was to be proved . Cor . Any parallelepiped is equal to a rectangular parallelepiped , ( that is , a ...

... parallelepipeds (Figure 7.3a), filling space without gaps (a parallelepiped is a polyhedron consisting of three pairs of parallel faces). This model explains, for example, the morphology of a dodecahedron as faces bordering stacks of ...

... parallelepipeds BH , and BK . The parallelepiped CM , having its solid angle at B , equal to the solid angle b , of the parallelepiped cm , and the sides about these angles being equal in both the parallelepipeds , they are equal and ...

... parallelepipeds . Such pixels are of an unknown type . In the second extreme case the point lies inside just one of the parallelepipeds , and the corresponding pixel is therefore labelled as a member of the class represented by that ...

... parallelepiped in which it will be enclosed. The set of possible parallelepipeds that can enclose the steady-state flux space is chosen by forming the faces of the parallelepiped along the directions defined by these vi,min and vi,max ...

... parallelepipeds with edges 2 - Ak / h , with vertices at the points of the lattice . 1,2 - Ak / l and = We make a selection of parallelepipeds . A parallelepiped in Mk ( k 0 , +1 , +2 , ... ) is included in our collection if it ...

... parallelepiped , or with the symmetry of the unit parallelepiped , provided that we take the most symmetric one of all such possible parallelepipeds ( and a1 , a2 , a3 corresponding to them ) ( Fig . 2.66 ) . In this way the point ...

... parallelepipeds , and if to AB , to the perpendicular from A upon DC , and to the altitude of the parallele- piped ... parallelepipeds , by hypothesis ; therefore the ratio of LxMXN to lxmxn is compounded of the ratio of the areas ...