US3481039A - Tangent fitter including a straight edge and an image splitting element - Google Patents

Tangent fitter including a straight edge and an image splitting element Download PDF

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US3481039A
US3481039A US625141A US3481039DA US3481039A US 3481039 A US3481039 A US 3481039A US 625141 A US625141 A US 625141A US 3481039D A US3481039D A US 3481039DA US 3481039 A US3481039 A US 3481039A
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splitting element
image splitting
tangent
center line
straight edge
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US625141A
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Melvin R Kantz
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Monsanto Research Corp
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Monsanto Research Corp
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L13/00Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for

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  • TANGENT FITTER INCLUDING A STRAIGHT EDGE AND AN IMAGE SPLITTING ELEMENT Filed March 22, 1967 ⁇ V// i w /32 INVENTOR. MEll/l/V A. Affi/VTZ United States Patent U.S. Cl. 33-75 4 Claims ABSTRACT OF THE DISCLOSURE
  • This invention relates to a device for establishing a line tangent to a curve, which consists of a base plate containing a straight edge, a pivot, and a top plate containing an image splitting-viewing element, all arranged in a critical configuration.
  • This invention relates to a device used to draw a straight line through a point tangent to a curved line. By placing the device at a point on a curved line and appropriately aligning the device, a straight line can be drawn tangent to the point.
  • One object of the present invention is to provide a device to establish a line tangent to a curve.
  • Another object of the invention is to provide a means of drawing tangents to a curve with improved precision and accuracy.
  • FIGURE 1 is one embodiment of the present invention showing the relationship of the parts.
  • FIGURE 2 is a cross-sectional view of the transparent image splitting element.
  • FIGURE 3 is a top plan view of the top plate containing the transparent image splitting element.
  • FIGURES 4 and 5 are views of the expected images seen as the present invention is used.
  • FIGURE 4 is a view that might be seen by the user, indicating that the device is not appropriately aligned to draw a line tangent to a curved line
  • FIGURE 5 is a view, as seen by the user, indicating that the device is appropriately aligned so that a line tangent to the curved line may be drawn.
  • FIGURE 2 is a cross-sectional view of the image splitting element 15 showing the center line 16.
  • the image splitting element is made of two sets of triangular prisms 21 and 22, one set on each side of the center line 16, and so oriented that the light from beneath is refracted toward the center line.
  • FIGURE 3 shows a closer view of the image splitting element 15 recessed in the top section 11.
  • a center line 16 bisects the image splitting element 15, which is made of a transparent material such as plastic or glass.
  • the triagular prisms 21, in one half of the image splitting element 15, radiate out from the center line 16 at an angle other than
  • the triangular prisms 22 in the other half of the image splitting element 15 radiate out from center line 16 in mirror image of the set of triangular prisms 21.
  • the pivot pin 14 is placed at the point on the curved line where the tangent line is to be drawn.
  • the operator looks through the image splitting element 15 and observes the curved line. If the image 31 appears as in FIGURE 4, i.c., the image is not continuous, the straight edge 13 is not tangent to the point and the device must be rotated until the image 32 appears continuous as in FIGURE 5. If the two halves of the image 32 connect continuously through the image splitting element 15, the straight edge 13 is tangent to the curve at the point of the steel pin 14 and a line can be drawn along the straight edge 13 to permanently record the observation.
  • the device described as being constructed of clear plastic, could be fabricated using metal, glass, wood, opaque plastic or other materials with sutficient structural strength to withstand normal handling of the user.
  • the sections were described as being bonded together, although the device could be constructed of one piece, or in sections joined by any number of means, depending upon the material of construction and the skill of the fabricator. It is important, however, that the top plate is parallel to the base plate.
  • the pivot pin in the above embodiment was constructed of steel; however, any number of materials would be satisfactory for use in a device of this type as one skilled in the art might choose.
  • the distance from the image spliting element 15 to the curved line and the straight edge 13 is not critical, provided that the distance is not so great that the curved line is difiicult to see, or so close that the optical properties of the image splitting element do not permit the eye to determine if the device is properly aligned. It is important, however, that the top plate containing the transparent image splitting element is parallel to the base plate, and that the center line of the image splitting element is perpendicular to the straight edge on the base plate and opposite to the pivot pin.
  • the image splitting element 15 was described as being made of a transparent material such as clear plastic or glass containing parallel sets of prisms, one set on each side of the center line.
  • any number of techniques could be used to make the image splitting device, provided that the optical density of the parallel prisms would retract the light toward the center line.
  • Two triangular prisms could be used for the image splitting element if they were placed together in such a way that a center line was formed where they touched, and the prisms were oriented in such a way that the light from either side would be refracted toward the center line. In this embodiment the prisms would be parallel to the center line.
  • a Fresnel lens might be divided and rejoined in such a Way to produce an image splitting device having a center line and two opposing sets of parallel prisms, one set of prisms on each side of the center line.
  • grooves could be machined in a transparent material, such as clear plastic or glass, in such a way that two sets of triangular prisms were formed in mirror image of each other, one set on either side of the center line, as shown in FIGURE 2.
  • the prisms in the image splitting element radiate outward from the center line 16 at an angle other than 90, and that the prisms on one side of the center line 16 in the image splitting element 15 are substantially a mirror image of the prisms on the other side of the center line 16 to avoid distortion during use.
  • the prisms are straight or curved along the length of the image splitting element provided that the prisms are spaced substantially equidistantly apart and are substantially parallel to each other. Curvature of the prisms is not undesirable, provided that the amount of curvature does not cause undue distortion.
  • any number of means might be used to fasten the image splitting element to the top section, and the method of attachment is not considered to be a part of this invention, provided that the image splitting element is aligned properly with the straight edge and pivot pin.
  • a device for establishing a line tangent to a curve which comprises a base plate, one longitudinal edge thereof constituting a straight edge; a pivot pin located at the center of said straight edge, and perpendicular to said base plate, a top plate containing a transparent image splitting element, means for connecting said top plate in parallel alignment with said base plate, asid image splitting element bisected by a center line perpendicular to said straight edge at the point of the pivot pin and having two opposing sets of triangular prisms, one set on each side of the center line, said center line and triangular prisms being integral parts of said image splitting element.
  • the image splitting element is made of Fresnel lens divided and rejoined to produce said image splitting element having a center line and two opposing sets of concentric prisms, one set on each side of the center line.
  • the image splitting element is composed of two triangular prisms arranged in such a way that a center line is formed where they touch, said prisms being oriented in such a way that the light is refracted toward said center line.
  • the image splitting element is made of a transparent material containing machined grooves so that two sets of triangular prisms are formed in mirror image of each other, one set on either side of the center line.

Description

3 5 6 l 1 a 4 aven, nun-nun. no.
Dec. 2, 1969 'M. R. KANTZ 3,
TANGENT FITTER INCLUDING A STRAIGHT EDGE AND AN IMAGE SPLITTING ELEMENT Filed March 22, 1967 \\\V// i w /32 INVENTOR. MEll/l/V A. Affi/VTZ United States Patent U.S. Cl. 33-75 4 Claims ABSTRACT OF THE DISCLOSURE This invention relates to a device for establishing a line tangent to a curve, which consists of a base plate containing a straight edge, a pivot, and a top plate containing an image splitting-viewing element, all arranged in a critical configuration.
BACKGROUND OF THE INVENTION The invention described herein was made in the course of, or under, Contract AT33l-GEN-53 with the U.S.
.Atomic Energy Commission.
This invention relates to a device used to draw a straight line through a point tangent to a curved line. By placing the device at a point on a curved line and appropriately aligning the device, a straight line can be drawn tangent to the point.
In the course of preparing engineering drawings and prints, or preparing other graphical presentations where it is necessary to draw a line tangent to a curved line, it is extremely difficult, even for a skilled illustrator to draw a tangent accurately. Such a task becomes even more difiicult if it is necessary to draw a line tangent to a point on a free-form curve where the symmetry of a circle or a chord is not present.
Thus, there is a need for a device for use by the draftsman, artist, or illustrator to aid him in drawing a tangent to a curve at a point with significantly greater accuracy. The present invention satisfies the need for such a device.
SUMMARY One object of the present invention is to provide a device to establish a line tangent to a curve.
Another object of the invention is to provide a means of drawing tangents to a curve with improved precision and accuracy.
These and other objects are obtained by the use of a device consisting of a base plate containing a straight edge, a pivot pin, and a top plate containing an image splitting element, all arranged in a critical configuration.
DESCRIPTION OF THE DRAWINGS FIGURE 1 is one embodiment of the present invention showing the relationship of the parts.
FIGURE 2 is a cross-sectional view of the transparent image splitting element.
FIGURE 3 is a top plan view of the top plate containing the transparent image splitting element.
FIGURES 4 and 5 are views of the expected images seen as the present invention is used. FIGURE 4 is a view that might be seen by the user, indicating that the device is not appropriately aligned to draw a line tangent to a curved line, whereas FIGURE 5 is a view, as seen by the user, indicating that the device is appropriately aligned so that a line tangent to the curved line may be drawn.
DESCRIPTION OF THE PREFERRED EMBODIMENTS In the embodiment, shown in FIGURE 1, clear plastic sections are bonded together in such a way that the top 3,481,039 Patented Dec. 2, 1969 center line 16 bisects the image splitting element 15 directly above the pivot pin 14 and perpendicular to the straight edge 13.
FIGURE 2 is a cross-sectional view of the image splitting element 15 showing the center line 16. The image splitting element is made of two sets of triangular prisms 21 and 22, one set on each side of the center line 16, and so oriented that the light from beneath is refracted toward the center line.
FIGURE 3 shows a closer view of the image splitting element 15 recessed in the top section 11. A center line 16 bisects the image splitting element 15, which is made of a transparent material such as plastic or glass. The triagular prisms 21, in one half of the image splitting element 15, radiate out from the center line 16 at an angle other than The triangular prisms 22 in the other half of the image splitting element 15 radiate out from center line 16 in mirror image of the set of triangular prisms 21.
In operation, the pivot pin 14 is placed at the point on the curved line where the tangent line is to be drawn. The operator looks through the image splitting element 15 and observes the curved line. If the image 31 appears as in FIGURE 4, i.c., the image is not continuous, the straight edge 13 is not tangent to the point and the device must be rotated until the image 32 appears continuous as in FIGURE 5. If the two halves of the image 32 connect continuously through the image splitting element 15, the straight edge 13 is tangent to the curve at the point of the steel pin 14 and a line can be drawn along the straight edge 13 to permanently record the observation.
In the embodiment above, the device, described as being constructed of clear plastic, could be fabricated using metal, glass, wood, opaque plastic or other materials with sutficient structural strength to withstand normal handling of the user. The sections were described as being bonded together, although the device could be constructed of one piece, or in sections joined by any number of means, depending upon the material of construction and the skill of the fabricator. It is important, however, that the top plate is parallel to the base plate.
The pivot pin in the above embodiment was constructed of steel; however, any number of materials would be satisfactory for use in a device of this type as one skilled in the art might choose.
The distance from the image spliting element 15 to the curved line and the straight edge 13 is not critical, provided that the distance is not so great that the curved line is difiicult to see, or so close that the optical properties of the image splitting element do not permit the eye to determine if the device is properly aligned. It is important, however, that the top plate containing the transparent image splitting element is parallel to the base plate, and that the center line of the image splitting element is perpendicular to the straight edge on the base plate and opposite to the pivot pin.
The image splitting element 15 was described as being made of a transparent material such as clear plastic or glass containing parallel sets of prisms, one set on each side of the center line. However, any number of techniques could be used to make the image splitting device, provided that the optical density of the parallel prisms would retract the light toward the center line. Two triangular prisms could be used for the image splitting element if they were placed together in such a way that a center line was formed where they touched, and the prisms were oriented in such a way that the light from either side would be refracted toward the center line. In this embodiment the prisms would be parallel to the center line. On the other hand, a Fresnel lens might be divided and rejoined in such a Way to produce an image splitting device having a center line and two opposing sets of parallel prisms, one set of prisms on each side of the center line.
Indeed, grooves could be machined in a transparent material, such as clear plastic or glass, in such a way that two sets of triangular prisms were formed in mirror image of each other, one set on either side of the center line, as shown in FIGURE 2.
It is however, critical that the prisms in the image splitting element radiate outward from the center line 16 at an angle other than 90, and that the prisms on one side of the center line 16 in the image splitting element 15 are substantially a mirror image of the prisms on the other side of the center line 16 to avoid distortion during use.
It does not matter if the prisms are straight or curved along the length of the image splitting element provided that the prisms are spaced substantially equidistantly apart and are substantially parallel to each other. Curvature of the prisms is not undesirable, provided that the amount of curvature does not cause undue distortion.
Any number of means might be used to fasten the image splitting element to the top section, and the method of attachment is not considered to be a part of this invention, provided that the image splitting element is aligned properly with the straight edge and pivot pin.
Other details of construction and use may be applied as might occur to one skilled in the art and have not, therefore, been shown in detail. Other embodiments of the invention might be developed without departing from the spirit or scope of this invention. Thus, it will be seen that this tangent fitter is a new device of a simple construction and ease of operation.
What is claimed is:
1. A device for establishing a line tangent to a curve which comprises a base plate, one longitudinal edge thereof constituting a straight edge; a pivot pin located at the center of said straight edge, and perpendicular to said base plate, a top plate containing a transparent image splitting element, means for connecting said top plate in parallel alignment with said base plate, asid image splitting element bisected by a center line perpendicular to said straight edge at the point of the pivot pin and having two opposing sets of triangular prisms, one set on each side of the center line, said center line and triangular prisms being integral parts of said image splitting element.
2. The device of claim 1 in which the image splitting element is made of Fresnel lens divided and rejoined to produce said image splitting element having a center line and two opposing sets of concentric prisms, one set on each side of the center line.
3. The device of claim 1 in which the image splitting element is composed of two triangular prisms arranged in such a way that a center line is formed where they touch, said prisms being oriented in such a way that the light is refracted toward said center line.
4. The device of claim 1 in which the image splitting element is made of a transparent material containing machined grooves so that two sets of triangular prisms are formed in mirror image of each other, one set on either side of the center line.
References Cited UNITED STATES PATENTS 1,907,873 5/1933 Richards et al.
JEWELL H. PEDERSEN, Primary Examiner ORVILLE B. CHEW II, Assistant Examiner US. Cl. X.R. 356-l
US625141A 1967-03-22 1967-03-22 Tangent fitter including a straight edge and an image splitting element Expired - Lifetime US3481039A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3836258A (en) * 1972-12-15 1974-09-17 Grumman Aerospace Corp Angular orientation measuring apparatus
US4341471A (en) * 1979-01-02 1982-07-27 Coulter Electronics, Inc. Apparatus and method for measuring the distribution of radiant energy produced in particle investigating systems

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1907873A (en) * 1932-03-02 1933-05-09 Oscar W Richards Geometrical instrument

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1907873A (en) * 1932-03-02 1933-05-09 Oscar W Richards Geometrical instrument

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3836258A (en) * 1972-12-15 1974-09-17 Grumman Aerospace Corp Angular orientation measuring apparatus
US4341471A (en) * 1979-01-02 1982-07-27 Coulter Electronics, Inc. Apparatus and method for measuring the distribution of radiant energy produced in particle investigating systems

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