Sentence examples for geometrical solutions from inspiring English sources

Geometrical solutions are also proposed.

Studies analyzing design procedures based upon different geometrical solutions and/or operation strategies are considered, and their related advantages are explained.

Geometrical solutions are given for the general cases of grain-boundary surface shapes depending on the ratio of growth rates and contact radii.

Specifically, as we see in the passage above, Descartes relies on the "single motions" of his "new types of compasses, which [he says] are no less exact and geometrical…than the common ones used to draw circles" in order to mark out a new class of problems that have legitimate geometrical solutions.

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.

Several other geometrical solutions to Apollonius' problem were developed in the 19th century.

He is an acute observer of things as they naturally are, from the way leaves fall to shopping habits or a geometrical solution.

Book VI applies the theory of proportion from Book V to similar figures and presents the geometrical solution to quadratic equations.

In this respect, Descartes is moving from Pappus's descriptive classification to a normative one that separates geometrical curves from non-geometrical curves, and thereby distinguishes problems that have a legitimate geometrical solution from those that do not.

To do this, we firstly enumerate a satisfactory topological solution, and then refine it to form a compatible geometrical solution.

This leads to find a geometrical solution space, which is verified via a CAD model of the gripper.