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Science & Mathematics

The Museum's collections hold thousands of objects related to chemistry, biology, physics, astronomy, and other sciences. Instruments range from early American telescopes to lasers. Rare glassware and other artifacts from the laboratory of Joseph Priestley, the discoverer of oxygen, are among the scientific treasures here. A Gilbert chemistry set of about 1937 and other objects testify to the pleasures of amateur science. Artifacts also help illuminate the social and political history of biology and the roles of women and minorities in science.

The mathematics collection holds artifacts from slide rules and flash cards to code-breaking equipment. More than 1,000 models demonstrate some of the problems and principles of mathematics, and 80 abstract paintings by illustrator and cartoonist Crockett Johnson show his visual interpretations of mathematical theorems.

"Science & Mathematics - Overview" showing 2915 items.

Page 131 of 292

## Model for Descriptive Geometry by A. Jullien - Representation of a Line (Special Cases)

- Description
- This relief shows four more special cases of lines. It is one of two reliefs that are about twice as long as the rest. The wires and strings are missing, so it is difficult to visualize the representations. (Note that the wire coming out of the horizontal plane on the far right is not correct, it is in fact one of the support pieces. This is how the relief was configured when it arrived at the Smithsonian.)

- Figure 1 on the left shows the vertical and horizontal projections of two lines as well as the intersection of the two lines projected onto the vertical plane.

- Figure 2 shows the angle of inclination of the line with the horizontal plane by rotating it down onto the horizontal plane.

- Figure 3 shows the angle of a line coming up through the horizontal plane with the vertical, again by rotating it onto the horizontal.

- Figure 4 shows the vertical projection of a line and the horizontal projection of its vertical component.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.04

- catalog number
- 1986.0885.01.04

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Representation of a Plane (Projection of Lines on the Plane)

- Description
- Figure 1 on the left shows plane APP’ cutting obliquely through the space with the black string showing a line on the plane. The vertical and horizontal projections of the plane are also depicted.

- Figure 2 on the right shows the vertical and horizontal projection of a line in the plane BQB’.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.05

- catalog number
- 1986.0885.01.05

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Parallel Lines (Given a Plane and a Line Parallel to the Plane, Construct the Parallel Plane Containing the Line)

- Description
- Plane APA’ (right construction) and line through (m, m’) parallel to the plane and to line cd’ on the plane are given (red strings). Then the plane BQB’ parallel to plane APA’ is constructed.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.06

- catalog number
- 1986.0885.01.06

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Line Perpendicular to a Plane

- Description
- Plane APA’ is given. The line perpendicular to the plane is represented by the oblique wire passing through (m, m’). The point of intersection of the line and the plane would be about halfway along the wire between (m, m’) and (c,0).

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.07

- catalog number
- 1986.0885.01.07

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Horizontal Line to a Plane (Construct a Line Parallel to a Given Plane through a Point)

- Description
- Plane APA’ is given. The line shown by the wire through (m, m’) and (c, c’) is constructed parallel to both the plane APA’ and the horizontal plane.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.08

- catalog number
- 1986.0885.01.08

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Line of Greatest Slope

- Description
- Plane APA’ and point (m, m’) are given. Construct the line on the plane with largest slope or inclination from the horizontal. Theory says that this line would be perpendicular to the horizontal trace of the plane, line PA. So the result is the black string from point c on the horizontal plane to point A’ on the vertical plane. The red string from point A is in the plane; the red string from point d forms the plane perpendicular to plane APA’ that the line lies on. All three lines meet at point (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.

- ID Number
- 1986.0885.01.09

- catalog number
- 1986.0885.01.09

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Rotation of a Point about a Vertical or Horizontal Line

- Description
- Figure 1 shows the rotation and projections of point (m, m’) about a horizontal line perpendicular to the vertical plane through point a’. Figure 2 shows the rotation and projections of point (m, m’) about the vertical line perpendicular to the horizontal at point a.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.10

- catalog number
- 1986.0885.01.10

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Rotation of a Point about an Axis in the Horizontal Plane

- Description
- Point (m, m’) is rotated about line ab. Point n on the horizontal plane is the foot of the perpendicular from the point to line ab. Point M
_{1}is the result of rotation of the point about line nm; M_{2}is the result of rotation about line ab.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.11

- catalog number
- 1986.0885.01.11

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Image (Rotation) of a Vertical Plane about a Line in the Horizontal Plane

- Description
- Plane APA’ is a plane perpendicular to the horizontal plane with point (m, m’) on APA’ (at corner of wire). Vertical and horizontal projections are shown, as well as rotation about line AP in the horizontal plane.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.12

- catalog number
- 1986.0885.01.12

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center

## Model for Descriptive Geometry by A. Jullien - Image (Rotation) of Any Plane

- Description
- Plane APA’ is any plane in space with point (m, m’). The two red strings, the black string and the horizontal wire are all lines on the plane. Vertical and horizontal projections are given, as well as the results of rotation of the plane about lines AP, nm, cn, and ce.

- For more details, see COLL.1986.0885 and 1986.0885.01.01.

- Location
- Currently not on view

- date made
- ca 1880

- maker
- Jullien, A.

- ID Number
- 1986.0885.01.13

- catalog number
- 1986.0885.01.13

- accession number
- 1986.0885

- Data Source
- National Museum of American History, Kenneth E. Behring Center