US296018A - Educational - Google Patents

Educational Download PDF

Info

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
Application number
Publication date
Application granted granted Critical
Publication of US296018A publication Critical patent/US296018A/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

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.

Landscapes

  • 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.
US296018D Educational Expired - Lifetime US296018A (en)

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
US (1) US296018A (en)

Cited By (6)

* Cited by examiner, † Cited by third party
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
US2885795A (en) * 1956-09-26 1959-05-12 Herbert J Feldhake Device for physically demonstrating the pythagorean theorem
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

Cited By (6)

* Cited by examiner, † Cited by third party
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

Similar Documents

Publication Publication Date Title
US296018A (en) Educational
US1080574A (en) Fountain-brush.
US1020708A (en) Soap-bubble blower.
US884489A (en) Combined funnel and dipper.
US201369A (en) Improvement in medicine-spoons
US900911A (en) Salt-cellar.
US253146A (en) Oil-can
US1100416A (en) Ball-joint.
US1233482A (en) Dispensing-faucet.
US1032917A (en) Milk-strainer.
US844858A (en) Soap-dish.
US1055141A (en) Cuspidor.
USD48866S (en) Design for a bottle
US1055590A (en) Non-refillable bottle.
US895347A (en) Colander.
US383149A (en) Eraser
US518606A (en) Frederick harvey hutchinson
US1185368A (en) Receptacle for water or other liquids.
US166483A (en) Improvement in self-closing faucets
USD42687S (en) Design for a monogram-pin
US618306A (en) Cuspidor
US534878A (en) Nathan harris
US900441A (en) Churn-dasher.
USD47952S (en) Design for a body eor a massage device
US1087137A (en) Glue-stick.