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

Object Details

Jullien, A.

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

ca 1880

ID Number

1986.0885.01.23

catalog number

1986.0885.01.23

accession number

1986.0885

Object Name

geometric model

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

place made

France: Île-de-France, Paris

See more items in

Medicine and Science: Mathematics

Science & Mathematics

Jullien Geometric Models

National Museum of American History

subject

descriptive geometry

Record ID

nmah_1802210

Metadata Usage (text)

CC0

GUID (Link to Original Record)

http://n2t.net/ark:/65665/ng49ca746b2-d45a-704b-e053-15f76fa0b4fa