CA1126503A - Framed filament loom for interpolating between parallel lines - Google Patents
Framed filament loom for interpolating between parallel linesInfo
- Publication number
- CA1126503A CA1126503A CA356,943A CA356943A CA1126503A CA 1126503 A CA1126503 A CA 1126503A CA 356943 A CA356943 A CA 356943A CA 1126503 A CA1126503 A CA 1126503A
- Authority
- CA
- Canada
- Prior art keywords
- frame
- instrument according
- aperture
- interpolation instrument
- interpolation
- 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
Links
- 239000000463 material Substances 0.000 description 2
- 230000000284 resting effect Effects 0.000 description 1
- 238000000926 separation method Methods 0.000 description 1
- FBWNMEQMRUMQSO-UHFFFAOYSA-N tergitol NP-9 Chemical compound CCCCCCCCCC1=CC=C(OCCOCCOCCOCCOCCOCCOCCOCCOCCO)C=C1 FBWNMEQMRUMQSO-UHFFFAOYSA-N 0.000 description 1
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
- B43L13/00—Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for
- B43L13/02—Draughting machines or drawing devices for keeping parallelism
Landscapes
- Treatment Of Fiber Materials (AREA)
Abstract
ABSTRACT
An interpolation instrument for interpolating between known graphically presented data is provided. The instrument comprises a preferably rectangular frame and a series of elongate, parallel elements extending across the opening in said frame at selected spacings conventionally equal, from one another. The elongate elements are preferably parallel strands of a common filament. A locating means is provided for retaining a selected point on the frame at a known point on the graph.
This is preferably an aperture for receiving a drawing pin so that the instrument may be pivoted about the pin, or a pin fixed to an adjustable arrangement.
An interpolation instrument for interpolating between known graphically presented data is provided. The instrument comprises a preferably rectangular frame and a series of elongate, parallel elements extending across the opening in said frame at selected spacings conventionally equal, from one another. The elongate elements are preferably parallel strands of a common filament. A locating means is provided for retaining a selected point on the frame at a known point on the graph.
This is preferably an aperture for receiving a drawing pin so that the instrument may be pivoted about the pin, or a pin fixed to an adjustable arrangement.
Description
11~65~3 The present invention relates to graphical instruments and more particularly to an instrument enabling rapid and accurate interpolation of graphical data.
There is currently on the market an instrument that is designed for use in interpolating graphically recorded information.
It is referred to as a "ten point divider". In essence, it is a set of dividers with ten or eleven points and a mechanism for changing the intervals between them within very narrow limits.
This device has several disadvantages. It is very expensive, it is physically heavy and it is not particularly accurate. It is however, the only available instrument to perform this task.
The present invention seeks to provide a more satis-factory interpolation instrument.
According to the present invention there is provided an interpolation instrument comprising:
a frame;
a series of elongate, parallel elements extending across an opening in said frame at selected spacings from one another;
and locating means for retaining a selected point on said frame at a selected location on a surface supporting the frame.
Preferably, the frame is rectangular and the elongate, parallel elements are equally spaced filaments extending parallel to the long axis of the frame. The locating means is conveniently an aperture adapted to receive a conventional drawing pin for locating the aid with respect to one of the two fixed points ; between which it is desired to interpolate.
This instrument can be made quite inexpensiyel~, while "; - , , , ' , ~ . .
,, ; , , .
, . . . . . .
, ~,, ,,- ~
': " ' , ' ' ~ -11;~6S~3 providing considerable accuracy of operation. It can serve to divide the interval between two known points on a graph or sets of points in a map into any desired number of segments.
To account for intervals of different physical sizes, the instrument may be produced in different sizes that may be sold either as individual instruments or as a set.
To account for a circumstance where the interval hetween two given points is not an integral number, an arrangement for adjusting the position of the locating means may be provided.
This may involve the provision of a series of pin receiving apertures at varying distances from an end one of the series of elongate elements or it may be a pin holding arrangement that adjusts the position of the pin toward and away from the end element. Another arrangement that can be used for this purpose on the other end of the interval is a thin transparent strip of plastic material bearing a scale that can be slipped under the filaments of the instrument for locating fractional values of that end point.
In drawings which illustrate exemplary embodiments of the present invention:
Figure 1 is a plan view of one embodiment of interpola-tion instrument;
Figure 2 is a sectional view along line II-II of Figure l;
Figure 3 is a sectional view along line III-III of Figure l;
Figure 4 is a partial plan View illustrating the use of the instrument; and ~1265)3 Figure 5 is a partial plan view of another embodiment.
Referring to the drawings, and particularly Figures 1 to 4, there is illustrated an interpolation instrument 10 that comprises a clear plastic rectangular frame 12 with a central rectangular opening 14. The material from which frame 12 is made is that conventionally used for such drawing instruments as triangles, French curves, and the like. On the underside of the frame, extending along each of the shorter sides of the opening 14, is a shallow recess 16, as most particularly illustrated in Figures 2 and 3. Extending through the frame 12 from the top face into the recesses 16 are respective sets of equally spaced bores 18. The bores of the two sets are aligned.
A filament 20 has one of its ends held in place by a set screw 22 threaded into an appropriate bore 25 in the frame 12. The filament extends from the screw 22 to an end one of the bores 18 in the adjacent end of the frame 12 and passes down-wardly through that bore into the associated recess 16. From that recess, it extends longitudinally of the rectangular open-ing 14 to the corresponding bore 18 at the other end of the frame.
The filament then passes up through that bore, across the top face of the frame 12 to the next adjacent bore, down through that bore into the recess 16 and then back across the rectangular open-ing 14 to the bore 18 adjacent to its starting point. This sequence is repeated back and forth across the frame to provide a series of parallel, equally spaced strands of the filament across the rectangular opening 14 in the frame 12. The terminal end of the filament is secured by a second set screw 22 in the same way as the starting end.
~ q ', : ' ' ' :
~12651~
As will be apparent fxom Figures 2 and 3, the filament 20 has a thickness slightly less than the depth of the recesses 16 so that the flat bottom surface of the frame 12 may lay flush on a flat surface.
At one corner of the rectangular opening 14 is a small flange 26 that projects from the long side of the opening up to the first strand in the series provided by filament 20. This flange is positioned adjacent to the bottom of the frame. The flange 26 is provided with a pin receiving aperture 28 that is spaced from the;next adjacent strand of filament 20 a distance equal to the spacings between adjacent strands. Thus, a drawing pin or the like may be passed through the aperture 28 and into a surface on which the aid is resting to define a starting point for an interpolation operation, as will be discussed more fully in the following. To provide for interpolations between points that are not spaced by an integral number of intervals, the flange 26 is also provided with a series of pin receiving apertures 30 spaced at equal intervals along a diagonal line extending from aperture 28 and ending at the first strand in the series of strands of filament 20. The positioning of the apertures along a diagonal line facilitates their physical separation while providing the desired fractional spacings from the first strand.
The interpolation instrument is, as previously noted, used to locate positions of desired incremental value on a graph, between two positions of known value. In the simplest instance, the two known points may have values of 100 and 200 and 10 equal intervals are desired. Then the aperture 28 is located over the first point (100) and a drawing pin is inserted through ,, ,~
~Z65~33 the aperture to hold the interpolation instrument in position.
The instrument is pivoted around the pin until the tenth strand lies over the second known point (200). The desired intervals are then at the intersections of a line joining the two known points and each of the strands crossing it.
More complex is the case where one of the known points has a fractional value. For example, where the known points have values of 0.5 and 10. In this case, an aperture 30 lying midway between aperture 28 and the first strand is selected for location over the first point and the drawing pin is lnserted.
The instrument is pivoted around the pin until the tenth strand lies over the second known point. The various strands will inter-cept a line joining the two known points at the integral values 1, 2, 3, etc..
In the event that the second known point has a frac-tional value, this can be located through the use of a thin transparent strip 45 that can be located under the instrument (Figure 4). The strip bears a scale 47 that will divide the interval between two adjacent strands into the desired fractions.
In Figure 4, the points A and B have values of 10.66 and 0.00 respectively. Consequently, aperture 28 is located over point B.
The strip 45 is located with the fractional value 0.66 at point A, and the strip and instrument are oriented such that the scale 47 on the strip 45 has its 0.00 point on the tenth strand and its 1.00 point on the eleventh strand.
Figure 5 of the accompanying drawings is a partial plan view of anothér embodiment of the interpolation instxument where the locating means formed by the flange 26 and the a~ertures 28, .
~L1;2~503 30 is replaced with an adjustable device 32. This consists of a groove 34 formed in the top face of frame 12 and a slide element 36 that slides along the groove 34. The slide element 36 contains an elongate slot 38 through which a set screw 40 extends to be threaded into a bore in the base of the slot 34. Set screw 40 can be tightened to hold the slide 36 in any desired position.
The leading end of slide 36 carries a drawing pin 42, the point of which can penetrate a surface on which the interpolation instrument is lying to provide the pivot point for the instrument. To ensure proper adjustment of the position of the drawing pin 42, the slide 36 and frame 12 are provided with a scale 44 indicating the position of the slide on the frame and therefore the posi-tioning of the drawing pin 42 with respect to the first strand of filament 20.
As may be apparent, the varying size of graphs to be interpolated will make it difficult to provide a single inter-polation instrument that can be used in all instances. The instrument should, therefore, be produced in different sizes with different spacings between the adjacent strands of filament.
For example, three units may be provided with strand spacings of 1/4 inch in the largest unit, 1/8 inch in the medium range unit and 1/16 inch in the smallest unit. The instruments thus pro-duced may be sold either as individual units or in sets.
The filament 20 may take any desired form, although it is preferred to use a coloured filament of the type that is fre-quently used as ishin~ Line.
.,- ~,
There is currently on the market an instrument that is designed for use in interpolating graphically recorded information.
It is referred to as a "ten point divider". In essence, it is a set of dividers with ten or eleven points and a mechanism for changing the intervals between them within very narrow limits.
This device has several disadvantages. It is very expensive, it is physically heavy and it is not particularly accurate. It is however, the only available instrument to perform this task.
The present invention seeks to provide a more satis-factory interpolation instrument.
According to the present invention there is provided an interpolation instrument comprising:
a frame;
a series of elongate, parallel elements extending across an opening in said frame at selected spacings from one another;
and locating means for retaining a selected point on said frame at a selected location on a surface supporting the frame.
Preferably, the frame is rectangular and the elongate, parallel elements are equally spaced filaments extending parallel to the long axis of the frame. The locating means is conveniently an aperture adapted to receive a conventional drawing pin for locating the aid with respect to one of the two fixed points ; between which it is desired to interpolate.
This instrument can be made quite inexpensiyel~, while "; - , , , ' , ~ . .
,, ; , , .
, . . . . . .
, ~,, ,,- ~
': " ' , ' ' ~ -11;~6S~3 providing considerable accuracy of operation. It can serve to divide the interval between two known points on a graph or sets of points in a map into any desired number of segments.
To account for intervals of different physical sizes, the instrument may be produced in different sizes that may be sold either as individual instruments or as a set.
To account for a circumstance where the interval hetween two given points is not an integral number, an arrangement for adjusting the position of the locating means may be provided.
This may involve the provision of a series of pin receiving apertures at varying distances from an end one of the series of elongate elements or it may be a pin holding arrangement that adjusts the position of the pin toward and away from the end element. Another arrangement that can be used for this purpose on the other end of the interval is a thin transparent strip of plastic material bearing a scale that can be slipped under the filaments of the instrument for locating fractional values of that end point.
In drawings which illustrate exemplary embodiments of the present invention:
Figure 1 is a plan view of one embodiment of interpola-tion instrument;
Figure 2 is a sectional view along line II-II of Figure l;
Figure 3 is a sectional view along line III-III of Figure l;
Figure 4 is a partial plan View illustrating the use of the instrument; and ~1265)3 Figure 5 is a partial plan view of another embodiment.
Referring to the drawings, and particularly Figures 1 to 4, there is illustrated an interpolation instrument 10 that comprises a clear plastic rectangular frame 12 with a central rectangular opening 14. The material from which frame 12 is made is that conventionally used for such drawing instruments as triangles, French curves, and the like. On the underside of the frame, extending along each of the shorter sides of the opening 14, is a shallow recess 16, as most particularly illustrated in Figures 2 and 3. Extending through the frame 12 from the top face into the recesses 16 are respective sets of equally spaced bores 18. The bores of the two sets are aligned.
A filament 20 has one of its ends held in place by a set screw 22 threaded into an appropriate bore 25 in the frame 12. The filament extends from the screw 22 to an end one of the bores 18 in the adjacent end of the frame 12 and passes down-wardly through that bore into the associated recess 16. From that recess, it extends longitudinally of the rectangular open-ing 14 to the corresponding bore 18 at the other end of the frame.
The filament then passes up through that bore, across the top face of the frame 12 to the next adjacent bore, down through that bore into the recess 16 and then back across the rectangular open-ing 14 to the bore 18 adjacent to its starting point. This sequence is repeated back and forth across the frame to provide a series of parallel, equally spaced strands of the filament across the rectangular opening 14 in the frame 12. The terminal end of the filament is secured by a second set screw 22 in the same way as the starting end.
~ q ', : ' ' ' :
~12651~
As will be apparent fxom Figures 2 and 3, the filament 20 has a thickness slightly less than the depth of the recesses 16 so that the flat bottom surface of the frame 12 may lay flush on a flat surface.
At one corner of the rectangular opening 14 is a small flange 26 that projects from the long side of the opening up to the first strand in the series provided by filament 20. This flange is positioned adjacent to the bottom of the frame. The flange 26 is provided with a pin receiving aperture 28 that is spaced from the;next adjacent strand of filament 20 a distance equal to the spacings between adjacent strands. Thus, a drawing pin or the like may be passed through the aperture 28 and into a surface on which the aid is resting to define a starting point for an interpolation operation, as will be discussed more fully in the following. To provide for interpolations between points that are not spaced by an integral number of intervals, the flange 26 is also provided with a series of pin receiving apertures 30 spaced at equal intervals along a diagonal line extending from aperture 28 and ending at the first strand in the series of strands of filament 20. The positioning of the apertures along a diagonal line facilitates their physical separation while providing the desired fractional spacings from the first strand.
The interpolation instrument is, as previously noted, used to locate positions of desired incremental value on a graph, between two positions of known value. In the simplest instance, the two known points may have values of 100 and 200 and 10 equal intervals are desired. Then the aperture 28 is located over the first point (100) and a drawing pin is inserted through ,, ,~
~Z65~33 the aperture to hold the interpolation instrument in position.
The instrument is pivoted around the pin until the tenth strand lies over the second known point (200). The desired intervals are then at the intersections of a line joining the two known points and each of the strands crossing it.
More complex is the case where one of the known points has a fractional value. For example, where the known points have values of 0.5 and 10. In this case, an aperture 30 lying midway between aperture 28 and the first strand is selected for location over the first point and the drawing pin is lnserted.
The instrument is pivoted around the pin until the tenth strand lies over the second known point. The various strands will inter-cept a line joining the two known points at the integral values 1, 2, 3, etc..
In the event that the second known point has a frac-tional value, this can be located through the use of a thin transparent strip 45 that can be located under the instrument (Figure 4). The strip bears a scale 47 that will divide the interval between two adjacent strands into the desired fractions.
In Figure 4, the points A and B have values of 10.66 and 0.00 respectively. Consequently, aperture 28 is located over point B.
The strip 45 is located with the fractional value 0.66 at point A, and the strip and instrument are oriented such that the scale 47 on the strip 45 has its 0.00 point on the tenth strand and its 1.00 point on the eleventh strand.
Figure 5 of the accompanying drawings is a partial plan view of anothér embodiment of the interpolation instxument where the locating means formed by the flange 26 and the a~ertures 28, .
~L1;2~503 30 is replaced with an adjustable device 32. This consists of a groove 34 formed in the top face of frame 12 and a slide element 36 that slides along the groove 34. The slide element 36 contains an elongate slot 38 through which a set screw 40 extends to be threaded into a bore in the base of the slot 34. Set screw 40 can be tightened to hold the slide 36 in any desired position.
The leading end of slide 36 carries a drawing pin 42, the point of which can penetrate a surface on which the interpolation instrument is lying to provide the pivot point for the instrument. To ensure proper adjustment of the position of the drawing pin 42, the slide 36 and frame 12 are provided with a scale 44 indicating the position of the slide on the frame and therefore the posi-tioning of the drawing pin 42 with respect to the first strand of filament 20.
As may be apparent, the varying size of graphs to be interpolated will make it difficult to provide a single inter-polation instrument that can be used in all instances. The instrument should, therefore, be produced in different sizes with different spacings between the adjacent strands of filament.
For example, three units may be provided with strand spacings of 1/4 inch in the largest unit, 1/8 inch in the medium range unit and 1/16 inch in the smallest unit. The instruments thus pro-duced may be sold either as individual units or in sets.
The filament 20 may take any desired form, although it is preferred to use a coloured filament of the type that is fre-quently used as ishin~ Line.
.,- ~,
Claims (12)
PROPERTY OR PRIVILEGE IS CLAIMED ARE DEFINED AS FOLLOWS:
1. An interpolation instrument comprising:
a frame;
a series of elongate, parallel elements extending across an opening in said frame at selected spacings from one another; and locating means for retaining a selected point on said frame at a selected location on a surface supporting the frame.
a frame;
a series of elongate, parallel elements extending across an opening in said frame at selected spacings from one another; and locating means for retaining a selected point on said frame at a selected location on a surface supporting the frame.
2. An interpolation instrument according to claim 1 wherein the elongate, parallel elements are equally spaced.
3. An interpolation instrument according to claim 2 wherein said elongate, parallel elements are filamentary.
4. An interpolation instrument according to claim 1, 2 or 3 wherein said frame is rectangular.
5. An interpolation instrument according to claim 1, 2 or 3 wherein said frame is rectangular and the elements are parallel to the long axis of the frame.
6. An interpolation instrument according to claim 1 wherein said locating means comprise an aperture adapted to receive a pin.
7. An interpolation instrument according to claim 6 wherein said aperture is located a distance from an end element of said series equal to the spacing between the elements.
8. An interpolation instrument according to claim 7 including a plurality of additional pin receiving apertures at equally spaced positions between the first aperture and the end element.
9. An interpolation instrument according to claim 8 wherein the apertures lie along a line extending diagonally to the elements.
10. An interpolation instrument according to claim 6 including adjust-ment means for adjusting the location of the aperture relative to the elements.
11. An interpolation instrument according to claim 10 wherein the adjustment means comprise a slide element in which the aperture is formed and a guide formed in the frame for receiving the slide element and guiding its motion towards and away from an end element of said series.
12. An interpolation instrument according to claim 11 including a scale for indicating the position of the aperture.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CA356,943A CA1126503A (en) | 1980-07-24 | 1980-07-24 | Framed filament loom for interpolating between parallel lines |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CA356,943A CA1126503A (en) | 1980-07-24 | 1980-07-24 | Framed filament loom for interpolating between parallel lines |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CA1126503A true CA1126503A (en) | 1982-06-29 |
Family
ID=4117502
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CA356,943A Expired CA1126503A (en) | 1980-07-24 | 1980-07-24 | Framed filament loom for interpolating between parallel lines |
Country Status (1)
| Country | Link |
|---|---|
| CA (1) | CA1126503A (en) |
-
1980
- 1980-07-24 CA CA356,943A patent/CA1126503A/en not_active Expired
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| MKEX | Expiry |