US296018A - Educational - Google Patents
Educational Download PDFInfo
- Publication number
- US296018A US296018A US296018DA US296018A US 296018 A US296018 A US 296018A US 296018D A US296018D A US 296018DA US 296018 A US296018 A US 296018A
- Authority
- US
- United States
- Prior art keywords
- cylinder
- cone
- same diameter
- diameter
- same
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
Links
- 229910001369 Brass Inorganic materials 0.000 description 2
- 239000010951 brass Substances 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 239000007787 solid Substances 0.000 description 2
- ATJFFYVFTNAWJD-UHFFFAOYSA-N tin hydride Chemical compound [Sn] ATJFFYVFTNAWJD-UHFFFAOYSA-N 0.000 description 2
Images
Classifications
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
- G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective
Definitions
- My invention relates to an improvement in educational appliances; and it consists in'the combination of a cylinder, a cone, and a semispherical cup, all of the same diameters, the cylinder and the cone being secured together, as will be more fully described hereinafter.
- the object of my invention is to demonstrate by experiment several geometrical truths, and is to be used in teaching geometry.
- Figure 1 represents a perspective of the cone and the cylinder.
- Fig. 2. is a separate view of the hemisphere.
- A represents the cylinder, which will have a length just equal to its diameter. Inside of this cylinder is secured a cone, 0, which has the same diameter as the cylinder, and which is of the same length. as the'cylinder. In connection with these two bodies I use a semisphere, D, which has the same diameter as the cone and the cylinder.
- the semi-sphere may be secured to it in the same manner. All three of these bodies will be made of tin, brass, or some other cheap material. Two of the parts are connected together for convenience of demonstration.
- the three bodies demonstrate the following: First, the convex surface of the cylinder is equal to the surface of a sphere of the same diameter; second, the semi-sphere emptied in a cone of the. same diameter, and having a length equal to its diameter, will exactly fill it; third, a semi-sphere emptied twice into a cylinder of the same diameter, and having the same length at its diameter, and around a cone, which has the same diameter and length as the cylinder, fills the space between the cylinder and the cone exactly.
- These experiments show that a cone is equivalent to one-third of the circumscribed cylinder of the same diameter and length, and that a globe is two-thirds of the circumscribed cylinder of the same diame ter, and having a length equal to its diameter.
- the cone and cylinder being secured together, the semi-sphere is used to fill them. Should the semisphere be secured to the cylinder, the cone will then be used to fill the other two.
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- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Mathematical Physics (AREA)
- Geometry (AREA)
- Business, Economics & Management (AREA)
- Algebra (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Orthopedics, Nursing, And Contraception (AREA)
Description
(No Model.)
* A. H. KENNEDY.
EDUCATIONAL APPLIANCE.
No. 296,018. Patented Apr. 1, 1884'.
N PETERS. Phmo-lilhumpher, Wahinflbn. I7. (I.
UNITED STATES PATENT" OFFICE.
ALBERT H. KENNEDY, OFROCKPORT, INDIANA.
EDUCATIONAL APPLIANCE.
SPECIFICATION forming part of Letters Patent No. 296,018, dated April 1, 18 84. Application filed October 29, 1883. (No model.)
To all whom it may concern.-
Be it known that I, A. H. KENNEDY, of Rockport, in the county of Spencer and State of Indiana, have invented certain new and useful Improvements inEd ucational Appliances; and I do hereby declare the following to be a full, clear, and exact description of the invention, such as will enable others skilled in the art to which it pertains to make and use it, reference being had to the accompanying drawings, which form part of this specification.
My invention relates to an improvement in educational appliances; and it consists in'the combination ofa cylinder, a cone, and a semispherical cup, all of the same diameters, the cylinder and the cone being secured together, as will be more fully described hereinafter.
The object of my invention is to demonstrate by experiment several geometrical truths, and is to be used in teaching geometry.
Figure 1 represents a perspective of the cone and the cylinder. Fig. 2. is a separate view of the hemisphere.
A represents the cylinder, which will have a length just equal to its diameter. Inside of this cylinder is secured a cone, 0, which has the same diameter as the cylinder, and which is of the same length. as the'cylinder. In connection with these two bodies I use a semisphere, D, which has the same diameter as the cone and the cylinder.
Instead of the cone being secured in the cylinder, as here shown, the semi-sphere may be secured to it in the same manner. All three of these bodies will be made of tin, brass, or some other cheap material. Two of the parts are connected together for convenience of demonstration.
The three bodies demonstrate the following: First, the convex surface of the cylinder is equal to the surface of a sphere of the same diameter; second, the semi-sphere emptied in a cone of the. same diameter, and having a length equal to its diameter, will exactly fill it; third, a semi-sphere emptied twice into a cylinder of the same diameter, and having the same length at its diameter, and around a cone, which has the same diameter and length as the cylinder, fills the space between the cylinder and the cone exactly. These experiments show that a cone is equivalent to one-third of the circumscribed cylinder of the same diameter and length, and that a globe is two-thirds of the circumscribed cylinder of the same diame ter, and having a length equal to its diameter. The cone and cylinder being secured together, the semi-sphere is used to fill them. Should the semisphere be secured to the cylinder, the cone will then be used to fill the other two.
Having thus described my invention, I claim An illustrative apparatus for showing the volume of symmetrical solids, consisting of a hollow cylinder and cone of the same diameter and height, the cone being secured inside of the cylinder, and a hollow hemisphere of the same diameter as the other parts, all adapted to be used together,for the purpose described.
In testimony whereof I affix my signature in presence of two witnesses.
ALBERT H. KENNEDY.-
Witnesses:
FRANCIS .I. REINHARD, W. T. MASON.
Publications (1)
Publication Number | Publication Date |
---|---|
US296018A true US296018A (en) | 1884-04-01 |
Family
ID=2365204
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US296018D Expired - Lifetime US296018A (en) | Educational |
Country Status (1)
Country | Link |
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US (1) | US296018A (en) |
Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US2872743A (en) * | 1957-03-07 | 1959-02-10 | Herbert J Feldhake | Demonstrator for the formula for the surface of a sphere |
US2885796A (en) * | 1957-05-06 | 1959-05-12 | Herbert J Feldhake | Device for physically demonstrating the formula for the area of a triangle |
US2885795A (en) * | 1956-09-26 | 1959-05-12 | Herbert J Feldhake | Device for physically demonstrating the pythagorean theorem |
US2902777A (en) * | 1959-03-27 | 1959-09-08 | Herbert J Feldhake | Mathematical formula demonstrator |
US2902778A (en) * | 1959-03-27 | 1959-09-08 | Herbert J Feldhake | Mathematical formula demonstrator |
US2929159A (en) * | 1959-03-27 | 1960-03-22 | Herbert J Feldhake | Mathematical formula demonstrator |
-
0
- US US296018D patent/US296018A/en not_active Expired - Lifetime
Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US2885795A (en) * | 1956-09-26 | 1959-05-12 | Herbert J Feldhake | Device for physically demonstrating the pythagorean theorem |
US2872743A (en) * | 1957-03-07 | 1959-02-10 | Herbert J Feldhake | Demonstrator for the formula for the surface of a sphere |
US2885796A (en) * | 1957-05-06 | 1959-05-12 | Herbert J Feldhake | Device for physically demonstrating the formula for the area of a triangle |
US2902777A (en) * | 1959-03-27 | 1959-09-08 | Herbert J Feldhake | Mathematical formula demonstrator |
US2902778A (en) * | 1959-03-27 | 1959-09-08 | Herbert J Feldhake | Mathematical formula demonstrator |
US2929159A (en) * | 1959-03-27 | 1960-03-22 | Herbert J Feldhake | Mathematical formula demonstrator |
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