US3584399A - Device having a table fitted with two sliding elements,for the quick finding of main formulae related to geometric entities - Google Patents

Device having a table fitted with two sliding elements,for the quick finding of main formulae related to geometric entities Download PDF

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Publication number
US3584399A
US3584399A US830361A US3584399DA US3584399A US 3584399 A US3584399 A US 3584399A US 830361 A US830361 A US 830361A US 3584399D A US3584399D A US 3584399DA US 3584399 A US3584399 A US 3584399A
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geometric
formulae
main
geometric entities
sliding elements
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Expired - Lifetime
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US830361A
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English (en)
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Giuseppe Iaia
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    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06C—DIGITAL COMPUTERS IN WHICH ALL THE COMPUTATION IS EFFECTED MECHANICALLY
    • G06C3/00—Arrangements for table look-up, e.g. menstruation table

Definitions

  • the stationary element consists of a rectangular plate, on either side of which two guides are formed. Slidingly fitted between said two guides is a movable component, consisting of a rectangular plate made of an opaque material, and formed with two symmetrically located, quadrangular windows, being the depictions of geometric entities reproduced on both sides of the stationary element, near the upper and lower edges thereof, while the related resolutive formulae are printed or engraved adjacent each depicted geometric entity.
  • This invention concerns a device, having a table fitted with two sliding elements, for quickly finding the main formulae pertaining to geometric entities (plane and solid figures).
  • the purpose of this invention is the provision of a small sized device, that can be carried in the users pocket, and by which all formulae for the solution of the problems related to the considered geometric entity can be found in an unusually easy and convenient manner and without possibility of errors.
  • FIGS. 1 and 2 are front views of opposite sides (i.e. front and rear sides) of the device according to the invention.
  • FIG. 3 is a section of device taken on the line AA of FIG. 1. 7
  • FIGS. 4 and 5 are front views of sliders of the device as shown in FIGS. 1 and 2.
  • FIGS. 6 and 7 respectively are a section of a slider taken on the line B-B of FIG. 4, and a section of the opposite slider, taken on the line C-C of FIG. 5.
  • the device of this invention consists of a stationary component, and of two further components slidingly fitted thereon.
  • Said stationary component is a rigid, rectangular plate 1, having four guides 23 and 45 respectively, formed along opposite sides thereof, in parallel relation with the adjacent side edge of plate 1.
  • Such guides are designed to allow two slides, denoted by the reference numerals 6 and 7 respectively, to be endwise shifted therein.
  • Engraved, printed or otherwise represented on one side of the stationary element, adjacent both edges thereof 3,584,399 Patented June 15, 1971 as shown in FIG. 1 are the plane geometric figures, preferably framed, as depicted in that figure, and umformly spaced from each other.
  • such figures are: a square, a rectangle, a triangle, a rhombus, a trapezium, a pentagon, a hexagon, a heptagon, an octagon, a nonagon, a decagon, a dodecagon, a circle and an annulus.
  • solid geometric bodies preferably framed, as depicted in that figure and uniformly spaced from each other.
  • such bodies are: a sphere, an octahedron, a hexahedron (or cube), a tetrahedron, a segment of a sphere, a spherical sector, a hemisphere, a triangular prism, a parallelepipedon, a regular pyramid, a truncated pyramid, another regular pyramid, a truncated cone and a right cylinder.
  • the space occupied by these formulae extends between the longitudinal midline of the stationary plate, and the lines by which the depiction-containing frames are laterally delimited.
  • the slides 6 and 7, which are substantially similar one another, as shown in FIGS. 4 to 7, consist of rectangular plates, made of a non-transparent material, and having their edges in parallel relation with the undercut major sides.
  • Two rectangular windows are formed in each slide, and more precisely the windows 8 and 9 are formed in the slide 6, while the windows 10 and 11 are formed in the slide 7.
  • the windows which are preferably formed symmetrically in respect of the longitudinal and transverse midlines that intersect each other at the midpoints thereof, are such as to leave in View only those formulae that concern a given geometric entity.
  • the windows 10 and 11 leave uncovered, and thus in view only the formulae (symbolized by a row of reference letters V, and by a'row of reference letters X, respectively) that allow the solution of problems involving a sphere, as depicted in the frame 16, and a triangular prism, as depicted in the frame 17.
  • the windows 89 and 10-11 can obviously be brought into coincidence with other figures and through said windows, the formulae pertaining to other concerned geometric entities can be read.
  • the plate 1, the stationary component of device, is preferably formed with an extended edge 18 (shown by dash lines in the FIG. 1) in parallel relation with one of the major sides thereof, and whereon a millimeter, or otherwise graduated scale can be engraved.
  • a device for quickly finding the main formulae for the solution of problems involving geometric entities comprising a stationary elongated rectangular opaque plate having guides extending along and parallel to but spaced from each side of each longitudinal edge of the plate, a pair of elongated rectangular opaque slides parallel to each other and disposed on opposite sides of the plate one in each pair of said guides, each slide having two windows therein disposed on opposite sides of the longitudinal midline of the slide, the plate having continuously exposed representations of diiferent geometric entities along both longitudinal side edges thereof on both sides of the plate, the plate also having formulae for the solution of problems involving the same geometric entities disposed on opposite sides of the plate in a position to be covered by the associated said slide and exposed by a said window of UNITED STATES PATENTS 2,304,327 12/1942 Anderson 3575X FOREIGN PATENTS 1,122,563 5/1956 France 353l(5) WILLIAM H. GRIEB, Primary Examiner U.S. Cl. X.R. 3575

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Computing Systems (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Toys (AREA)
US830361A 1968-06-25 1969-06-04 Device having a table fitted with two sliding elements,for the quick finding of main formulae related to geometric entities Expired - Lifetime US3584399A (en)

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Application Number Priority Date Filing Date Title
IT13068 1968-06-25

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US3584399A true US3584399A (en) 1971-06-15

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US830361A Expired - Lifetime US3584399A (en) 1968-06-25 1969-06-04 Device having a table fitted with two sliding elements,for the quick finding of main formulae related to geometric entities

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GB (1) GB1229354A (enExample)

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GB1229354A (enExample) 1971-04-21

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