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

Object Details

Jullien, A.

Description

Suppose one is given plane APA’ and point (m, m’) not on the plane. To find the distance, one must find the perpendicular from the point to the plane. This is done by finding the shortest vertical and horizontal distances from the point to the plane. Segment mn on the horizontal plane is the projection of the shortest distance of point (m, m’) to the plane horizontally, often referred to as the perpendicular foot. Line de’ (red string) is the image of this foot up onto the plane. Likewise, segment m’n’ is the vertical perpendicular foot and its image on the plane is the wire coming out of the horizontal plane. Point (n, n’) where these two lines meet is the perpendicular from (m,m’) to the plane, and thus the shortest distance.

For more details, see COLL.1986.0885 and 1986.0885.01.01.

Location

Currently not on view

ca 1880

ID Number

1986.0885.01.22

catalog number

1986.0885.01.22

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_1802208

Metadata Usage (text)

CC0

GUID (Link to Original Record)

http://n2t.net/ark:/65665/ng49ca746b2-d459-704b-e053-15f76fa0b4fa