Model for Descriptive Geometry by A. Jullien - Distance from a Point to a Line

Description
Given point (a, a’) and line L, the slanted wire coming out of the horizontal plane at c and extending through (m, m’). Construct the horizontal line through (a, a’) that is perpendicular yet above to line L (the wire coming out of the vertical plane at d toward the right.) Then the plane FPF’ is a perpendicular to L at (m, m’). The vertical projection of the intersection of the plane and L is point e’ while the horizontal projection is point g. The red string is the line joining these two points which passes through (m, m’). Line eg is the horizontal projection of this line. By rotating points (a, a’) and (m, m’) about eg onto the horizontal plane, we get their images A’ and M’. The length of segment A’M’ is the distance from point (a, a’) to the line L at its perpendicular foot (m, m’).
For more details, see COLL.1986.0885 and 1986.0885.01.01.
Location
Currently not on view
date made
ca 1880
maker
Jullien, A.
place made
France: Île-de-France, Paris
Physical Description
paper (overall material)
metal (overall material)
Measurements
overall: 6.5 cm x 7.5 cm x 6.5 cm; 2 9/16 in x 2 15/16 in x 2 9/16 in
ID Number
1986.0885.01.23
catalog number
1986.0885.01.23
accession number
1986.0885
subject
descriptive geometry
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Jullien Geometric Models
Data Source
National Museum of American History, Kenneth E. Behring Center

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