Plane and Solid Geometry: A Comprehensive Overview
Plane and Solid Geometry
Plane Geometry
Plane geometry is the branch of geometry that deals with figures whose points all lie in a plane.
Types of Plane Geometry
- Descriptive geometry: Solves problems in the geometry of space by using operations in a plane and figures that represent solids.
- Projective geometry: Studies the projection of figures onto a plane.
- Analytic geometry: Studies figures using a coordinate system and methods of mathematical analysis.
Conic Sections
A conic section is the curve formed
Read MoreTechnical Drawing: Projections, Cuts, and Views
Overview
Cuts are used in technical drawings to clarify the representation of an object by removing a portion. A section is the intersection of a cutting plane with the part (indicated in red). Sections are preferred over cuts as they offer a clearer and simpler representation.
Cuts are essential when the interior parts of an object need to be shown. The surface revealed by the cutting plane is called the cut surface. To create a cut:
- Determine the cutting plane, which should be parallel to the projection
Plane and Solid Geometry: Concepts and Tools
Plane geometry:
part of the geometry that considers the figures whose points are all on a plane.
Geometry of space, which considers the figures whose points are not all on the same plane.
Descriptive geometry:
that is to resolve problems the geometry of space by means of cash transactions in a plane and it figures represent solids.
Projective geometry:
that is the projection of figures on a plane.
Analytic geometry:
a study of figures which uses a coordinate system and methods of mathematical analysis.
Read MoreTechnical Drawing: Projections, Sections, and Views
Overview and Sections
Cuts
A cut is the artifice by which, in the representation of a piece, we remove some of it to clarify and make the representation and annotation easier.
Section is the shear plane intersection with the part (the area indicated in red). When representing a section, unlike a cut, we do not represent the rest of the piece left behind. Whenever possible, we prefer to represent the section since it is a clearer and simpler representation.
Cuts are standard devices that we use imaginatively
Read MoreTechnical Drawing: An Overview of Projections and Sections
Overview and Sections
A cut is the artifice by which, in the representation of a piece, we remove some of the same, in order to clarify and make easier the representation and annotation. A section is called the shear plane intersection with the part (the area indicated in red), as shown when he represents a section, unlike a court, not representing the rest of the piece left behind same. Whenever possible, we prefer to represent the section, since it is clearer and simpler representation.
Cuts are
Read MoreTextiles, Carpets, Glass, Enamel & Drawing: A Comprehensive Guide
Textiles and Carpets
Fabrics
Fabrics are fundamental materials for clothing, fashion, and various applications. They consist of two main components:
a) Yarn:
Yarn is the result of intertwining threads, which can be derived from animal origins (wool, silk), vegetable sources (flax, hemp, cotton), or synthetic chemicals (rayon, polyester). Animal and plant fibers require preparation before spinning.
Yarn Production:
- Early Methods: Wrapping fibers around a nail, using a distaff and spindle.
- Spinning Wheel: