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Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1]
Parallel lines are mapped on parallel lines, or on a pair of points (if they are parallel to ). The ratio of the length of two line segments on a line stays unchanged. As a special case, midpoints are mapped on midpoints. The length of a line segment parallel to the projection plane remains unchanged. The length of any line segment is shortened ...
(The image plane is parallel to the y-z-plane.) The left and the far right images look more like prolonged cuboids instead of a cube. Axonometry (cavalier perspective) of a house on checked pattern paper. In order to keep the drawing simple, one should choose simple foreshortenings, for example or .
Classification of Axonometric projection and some 3D projections "Axonometry" means "to measure along the axes". In German literature, axonometry is based on Pohlke's theorem, such that the scope of axonometric projection could encompass every type of parallel projection, including not only orthographic projection (and multiview projection), but also oblique projection.
An example of a multiview orthographic drawing from a US Patent (1913), showing two views of the same object. Third angle projection is used. In third-angle projection , the object is conceptually located in quadrant III, i.e. it is positioned below and behind the viewing planes, the planes are transparent , and each view is pulled onto the ...
Example mechanical drawing. Here is an example of an engineering drawing (an isometric view of the same object is shown above). The different line types are colored for clarity. Black = object line and hatching; Red = hidden line; Blue = center line of piece or opening; Magenta = phantom line or cutting plane line
An architectural drawing or architect's drawing is a technical drawing of a building (or building project) that falls within the definition of architecture.Architectural drawings are used by architects and others for a number of purposes: to develop a design idea into a coherent proposal, to communicate ideas and concepts, to convince clients of the merits of a design, to assist a building ...
In architecture and building engineering, a floor plan is a technical drawing to scale, showing a view from above, of the relationships between rooms, spaces, traffic patterns, and other physical features at one level of a structure. Dimensions are usually drawn between the walls to specify room sizes and wall lengths.