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Given the X, Y and Z coordinates of P, R, S and U, projections 1 and 2 are drawn to scale on the X-Y and X-Z planes, respectively. To get a true view (length in the projection is equal to length in 3D space) of one of the lines: SU in this example, projection 3 is drawn with hinge line H 2,3 parallel to S 2 U 2.
Plans are usually "scale drawings", meaning that the plans are drawn at a specific ratio relative to the actual size of the place or object. Various scales may be used for different drawings in a set. For example, a floor plan may be drawn at 1:48 (or 1/4"=1'-0") whereas a detailed view may be drawn at 1:24 (or 1/2"=1'-0").
This drawing is to the scale of 1 pixel = 1 cm. Human figures, as drawn on the Pioneer 10 plaque, have been added for scale. According to the schematics on the plaque, the woman is 168 cm. Overall dimensions (6.7 m long and 2.5 m high) are taken from the OceanGate specification sheet: Titan 5-Person Submersible | 4,000 meters .
In the past, prints were plotted on a plotter to exact scale ratios, and the user could know that a line on the drawing 15 mm long corresponded to a 30 mm part dimension because the drawing said "1:2" in the "scale" box of the title block.
Planes are used in many areas of geometry. For instance, planes can be studied as a topological surface without reference to distances or angles; [49] it can be studied as an affine space, where collinearity and ratios can be studied but not distances; [50] it can be studied as the complex plane using techniques of complex analysis; [51] and so on.
Original file (1,754 × 1,239 pixels, file size: 25 KB, MIME type: application/pdf) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
This familiar equation for a plane is called the general form of the equation of the plane or just the plane equation. [6] Thus for example a regression equation of the form y = d + ax + cz (with b = −1) establishes a best-fit plane in three-dimensional space when there are two explanatory variables.
An oblate spheroid, highly exaggerated relative to the actual Earth A scale diagram of the oblateness of the 2003 IERS reference ellipsoid, with north at the top. The outer edge of the dark blue line is an ellipse with the same eccentricity as that of Earth.