Sentence examples for solid problems from inspiring English sources
More impressively, in a different text from this same period, Descartes offers a method for constructing all solid problems, i.e., for solving all third- and fourth-degree equations.
In other words, it was not clear from Pappus's Collection whether these curves were admissible in geometrical problem-solving and therefore, whether solid problems (such as identifying the mean proportionals between given line segments) or line-like problems (such as trisecting an angle and squaring the circle) had genuine geometrical solutions.
This suggests an important overlap between Descartes' three classes of geometrical problems and Pappus's three classes, which, recall, were separated based on the types of curves required for solution: Planar problems are solvable by straightedge and compass, solid problems by conics, and line-like problems by more complicated curves that have an "inconstant and changeable origin".
"Solid money for a solid problem.
No cod science, no pretence of lasting change, just solid problem-solving for when one's face looks like an old slipper.
The idea is to solve the full 3D solid problem separating the in-plane and the out-of-plane spaces.
This implementation employs a fixed mesh for the solution of the fluid problem and a Lagrangian formulation for the solid problem.
For instance, Pappus rendered the construction of the neusis a solid problem and solved it by means of conics in Book IV of the Collection, and Nicomedes rendered the construction of the neusis a line-like problem and devised the cissoid for its solution.
Such dependence is consistent because the topology optimization is applied in solid mechanics problems (in potential problems the flux could derive the moving boundaries velocity, for instance).
Regardless of how they are produced, Mr. Hershkowitz said that plant-based plastics still create litter and solid waste problems.
The rapid increase in the use of these products causes increment in solid waste problems.
