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Guillotine cutting is the process of producing small rectangular items of fixed dimensions from a given large rectangular sheet, using only guillotine-cuts. A guillotine-cut (also called an edge-to-edge cut) is a straight bisecting line going from one edge of an existing rectangle to the opposite edge, similarly to a paper guillotine.
The shrinking process, the straight skeleton (blue) and the roof model. In geometry, a straight skeleton is a method of representing a polygon by a topological skeleton.It is similar in some ways to the medial axis but differs in that the skeleton is composed of straight line segments, while the medial axis of a polygon may involve parabolic curves.
Free online hexagonal graph paper PDF generator; Hexographer, a program for making role-playing game wilderness hex maps in a "classic" style; Hextml, an online program to make hex maps; GM Friend hex mapping tool, an online program to make hex maps with a random map generator; RedBlobGames, Hexagonal Grids, a reference for hexagonal grid ...
In a general axonometry of a sphere the image contour is an ellipse. The contour of a sphere is a circle only in an orthogonal axonometry. But, as the engineer projection and the standard isometry are scaled orthographic projections, the contour of a sphere is a circle in these cases, as well.
Diagram for geometric proof. This proof is valid only if the line is not horizontal or vertical. [5] Drop a perpendicular from the point P with coordinates (x 0, y 0) to the line with equation Ax + By + C = 0. Label the foot of the perpendicular R. Draw the vertical line through P and label its intersection with the given line S.
The line segments AB and CD are orthogonal to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Whereas perpendicular is typically followed by to when relating two lines to one another (e.g., "line A is perpendicular to line B"), [1] orthogonal is commonly used without to (e.g., "orthogonal lines A and B").
In mathematics, an orthogonal trajectory is a curve which intersects any curve of a given pencil of (planar) curves orthogonally. For example, the orthogonal trajectories of a pencil of concentric circles are the lines through their common center (see diagram).
The six independent scalar products g ij =h i.h j of the natural basis vectors generalize the three scale factors defined above for orthogonal coordinates. The nine g ij are the components of the metric tensor, which has only three non zero components in orthogonal coordinates: g 11 =h 1 h 1, g 22 =h 2 h 2, g 33 =h 3 h 3.