US3834028A - Apparatus to draw an oval - Google Patents
Apparatus to draw an oval Download PDFInfo
- Publication number
- US3834028A US3834028A US00398451A US39845173A US3834028A US 3834028 A US3834028 A US 3834028A US 00398451 A US00398451 A US 00398451A US 39845173 A US39845173 A US 39845173A US 3834028 A US3834028 A US 3834028A
- Authority
- US
- United States
- Prior art keywords
- gear
- circular table
- oval
- rotary rod
- rod
- 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
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Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L11/00—Non-circular-curve-drawing instruments
- B43L11/02—Non-circular-curve-drawing instruments for drawing conic sections
- B43L11/04—Non-circular-curve-drawing instruments for drawing conic sections for drawing ellipses
- B43L11/05—Non-circular-curve-drawing instruments for drawing conic sections for drawing ellipses with gears
Definitions
- the present invention is related to an apparatus to draw an oval in precisely the desired shape and size.
- An example of a device implementing the former method is a drawing apparatus in which a piece of string is stretched on a drawing paper in such way that it passes one end of the major axis and extends between the ends of the minor axis and a drawing tool is moved by this string.
- An example of a device implementing the latter method is a drawing apparatus, in which a circular plate is inclined to a prescribed angle and a drawing tool is moved along a projected profile against the horizontal level of said circular'plate.
- the drawing tool moves under one-sided restriction by such as a string or the edge of an inclined circular plate and it cannot havea stable'fixing point such as the center of rotation.
- it has been very difficult to move a drawing tool while maintaining a profile exactly.
- An object of thepresent invention is to carry out the movement of a drawing tool not by sliding but by rotation utilizing the characteristics of an oval in the axis of co-ordinates of an oval which can be considered another definition of an oval.
- FIG. 1 is a general diagram to show the theory of an oval
- FIG. 2 is a diagram to show theprinciple of the present invention
- FIG. 3 is an oblique view to show an embodiment of the present invention
- FIG. 4 is an oblique view to show each part of the apparatus in a disassembled state
- FIG. 6 is a sideviewof the drawing tool holder. As already known, an oval is expressed by a formula:
- R expresses a point at which theradius 00 of the larger circle crosses the circumference of the smaller circle and Q-moves on the circumference of the larger circle.
- a locus of the crossing point P of a perpendicular from Q to the x axis and a line extendingthrough R in parallel to the x axis is expressed as follows.
- the locus is always expressed as an oval. From this it becomes possible to draw a desired oval by obtaining the locus of P in such way that the major axis of a prescribed oval is made the diameter of the larger circle and the minor axis is made the diameter of the smaller circle.
- a method has been devised such that, when a circle E with a diameter corresponding to half of the difference between the major axis and the minor axis of an oval is made between and along a circle C with the minor axis as its diameter and a circle D with the major axis as its diameter while turning on its own axis, a point on the circumference of the circle E draws a prescribed oval.
- each successive circle E rotates a half diameter while moving along the circles C and D and accordingly it has to turn on its axis twice while moving round the circles C and D and the rotation of the circle E on its axis is in the same direction as its rotation round the circles C and D.
- the size of the circles C and D i.e. the central distances from the origin 0 should change on occasions in accordance with the sizes of the prescribed major and minor axises of an oval. Accordingly, the central distance of the circle E from the origin 0 and the diameter of the circle E should naturally change.
- FIG. 3 depicts a general oblique view of an apparatus embodying the present invention and FIG. 4 where each part of the apparatus is shown in a disassembled state
- 1 is a stand which is to be placed on the surface of a drawing paper, a metal plate, etc.
- Each leg 2 of the stand 1 has a length adjusting screw 3 on its end to keep the stand 1 level.
- An immovable rod 5 having a pointer 4 on one end isfixed to the stand 1 with nuts 5' at the other end so thatthe pointer 4 indicates the position of the origin on the drawing paper.
- the pointer 4 may altematively be provided on a foldable arm to be attached to the stand 1.
- a rotary table 6 is pivotally mounted beneath the upper part of the stand 1.
- the immovable rod 5 extends centrally through the table 6.
- the periphery 7 of the rotary table 6 has notches for turning the plate 6 by grasping the circumference 7.
- a gear 8 is fixed on the center of the upper surface of the table.
- an arc-shaped slit9 along a radius of the rotary plate 6.
- a short shaft 10 about which gear 11 extends.
- a nut 11' is used to secure the gear 11 in position.
- the gear 11 engages with the gear 8 and itsnumber of teeth is half of that of gear 8, due to which, when the rotary plate 6 turns, the gear 11 turns at a rate which is twice to the rate of rotation of the plate 6.
- a cylinder 12 is inserted through said slit 9 and a rotary rod 13 is inserted into the cylinder 12.
- the cylinder 12 by turning a fastening nut 14 which is screwed on the lower end of the cylinder 12, can press the surface of the rotary plate 6 from both sides and hold the cylinder 12 itself firmly at an optional position in the slit 9.
- the slit 9 has an arc-shape with the short shaft as its center, due to which the rotary rod 13 can move round the gear 11 while being kept level by the cylinder 12.
- a gear 15 On the upper end of the rotary rod 13 is fixed a gear 15, which is of the same size as the gear 11 and which always engages the gear 1 1 and turns at the same speed. (cf. FIG. 5)
- the rotary rod 13 turns in the same direction as the rotation of the rotary plate 6 at a rate double to the rotation of the latter.
- the lower end of the rotary rod 13 extends to the surface of a drawing paper and has a drawing tool holder 16 by which a scribing needle or the like is held.
- the drawing tool holder 16 can be freely slid aside from the center of the rotary rod 13. This operation can be done by extending the tool holder to position 16' and by holding it there firmly with a fastening screw 17, as shown in FIG. 6.
- the present invention may be carried out by the following steps.
- the stand 1 is placed on a drawing paper or a metal plate and the position of the origin on the paper or the plate is suitably chosen by means of the pointer 4 which is provided at the bottom of the immovable rod 5.
- the drawing tool holder 16 is extended to the position 16' which is chozen so that, when the rotary rod 13 is turned, its pointed end can draw a circle with a diameter corresponding to half the difference between the major axis and the minor axis of the desired ellipse.
- This circle corresponds to the circle E shown in FIG. 2.
- the present invention aims to draw a precise oval by making use of the characteristics of an oval and has a great advantage that the apparatus is very simple in structure and that no special skill is required to operate it.
- An improved apparatus for drawing an oval comprising:
- a support member having a plurality of legs downwardly extending therefrom;
- a circular table pivotally coupled to and beneath said support member, said circular table having an arcshaped slit along the radius thereof, having a first aperture therein at a position corresponding to the origin of the arc-shaped slit and having a second aperture centrally of said circular table;
- a second gear pivotally mounted on the upper portion of said circular table and centered over said first aperture, said first and second gears being of suitable diameter for engagement therebetween, said second gear being rotated by said first gear at twice the rate of rotation of said first gear;
- a rotary rod positioned beneath said circular table and having a top portion extending through the slit in said circular table;
- a third gear pivotally mounted on the upper portion of said circular table on said rotary rod for engagement with said second gear, said second and third gears having equal diameters and having a gear ratio of one to one,
Landscapes
- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Transmission Devices (AREA)
- Sheet Holders (AREA)
Priority Applications (8)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GB4335073A GB1446924A (en) | 1972-09-29 | 1973-09-14 | Apparatus to draw an oval |
US00398451A US3834028A (en) | 1972-09-29 | 1973-09-18 | Apparatus to draw an oval |
AU60457/73A AU6045773A (en) | 1972-09-29 | 1973-09-19 | Apparatus to draw an oval |
BE2053090A BE805309A (fr) | 1972-09-29 | 1973-09-26 | Appareil a tracer un ovale |
CA182,216A CA988290A (en) | 1972-09-29 | 1973-09-28 | Apparatus to draw an oval |
DE19732348990 DE2348990A1 (de) | 1972-09-29 | 1973-09-28 | Vorrichtung zum zeichnen einer ellipse |
CH1392173A CH572817A5 (ja) | 1972-09-29 | 1973-09-28 | |
FR7334786A FR2201189A1 (ja) | 1972-09-29 | 1973-09-28 |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP9698272A JPS4955428A (ja) | 1972-09-29 | 1972-09-29 | |
US00398451A US3834028A (en) | 1972-09-29 | 1973-09-18 | Apparatus to draw an oval |
Publications (1)
Publication Number | Publication Date |
---|---|
US3834028A true US3834028A (en) | 1974-09-10 |
Family
ID=26438118
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US00398451A Expired - Lifetime US3834028A (en) | 1972-09-29 | 1973-09-18 | Apparatus to draw an oval |
Country Status (8)
Country | Link |
---|---|
US (1) | US3834028A (ja) |
AU (1) | AU6045773A (ja) |
BE (1) | BE805309A (ja) |
CA (1) | CA988290A (ja) |
CH (1) | CH572817A5 (ja) |
DE (1) | DE2348990A1 (ja) |
FR (1) | FR2201189A1 (ja) |
GB (1) | GB1446924A (ja) |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
GB2164901A (en) * | 1984-09-25 | 1986-04-03 | Gen Electric Co Plc | Reading or writing apparatus |
US5340957A (en) * | 1991-06-20 | 1994-08-23 | Union Oil Company Of California | Hydrocracking process using a reactivated catalyst |
US6052909A (en) * | 1998-08-26 | 2000-04-25 | Gardner; Mark T. | Hand-held oval cutting device |
US6158133A (en) * | 1998-12-23 | 2000-12-12 | Fiskars Inc. | Oval cutter |
Families Citing this family (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS61226297A (ja) * | 1985-03-28 | 1986-10-08 | 安田 寛明 | だ円の切断方法及びその装置 |
Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US126782A (en) * | 1872-05-14 | Improvement in ellipsographs |
-
1973
- 1973-09-14 GB GB4335073A patent/GB1446924A/en not_active Expired
- 1973-09-18 US US00398451A patent/US3834028A/en not_active Expired - Lifetime
- 1973-09-19 AU AU60457/73A patent/AU6045773A/en not_active Expired
- 1973-09-26 BE BE2053090A patent/BE805309A/xx unknown
- 1973-09-28 DE DE19732348990 patent/DE2348990A1/de active Pending
- 1973-09-28 CA CA182,216A patent/CA988290A/en not_active Expired
- 1973-09-28 CH CH1392173A patent/CH572817A5/xx not_active IP Right Cessation
- 1973-09-28 FR FR7334786A patent/FR2201189A1/fr not_active Withdrawn
Patent Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US126782A (en) * | 1872-05-14 | Improvement in ellipsographs |
Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
GB2164901A (en) * | 1984-09-25 | 1986-04-03 | Gen Electric Co Plc | Reading or writing apparatus |
US5340957A (en) * | 1991-06-20 | 1994-08-23 | Union Oil Company Of California | Hydrocracking process using a reactivated catalyst |
US6052909A (en) * | 1998-08-26 | 2000-04-25 | Gardner; Mark T. | Hand-held oval cutting device |
US6484406B1 (en) | 1998-08-26 | 2002-11-26 | Alterra Holdings Corporation | Hand-held cutting devices |
US6158133A (en) * | 1998-12-23 | 2000-12-12 | Fiskars Inc. | Oval cutter |
US6374503B1 (en) | 1998-12-23 | 2002-04-23 | Alterra Holdings Corporation | Oval cutter |
Also Published As
Publication number | Publication date |
---|---|
AU6045773A (en) | 1975-03-20 |
FR2201189A1 (ja) | 1974-04-26 |
DE2348990A1 (de) | 1974-04-04 |
BE805309A (fr) | 1974-01-16 |
CA988290A (en) | 1976-05-04 |
CH572817A5 (ja) | 1976-02-27 |
GB1446924A (en) | 1976-08-18 |
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