US1145369A

US1145369A - Device for polysecting any given angle.

Info

Publication number: US1145369A
Application number: US127215A
Authority: US
Inventors: David Kaplan
Original assignee: Individual
Current assignee: Individual
Priority date: 1915-01-09
Filing date: 1915-01-09
Publication date: 1915-07-06
Anticipated expiration: 1932-07-06

Description

n. KAPLAN.

DEVICE FOR POLYSECTING ANY GIVEN ANGLE. APPLICATION FILED JAN.9, 191s.

L1%,369, Patented July 6, 191-5.

ED STA i S DAVID KAPLAN, on NEW YORK, n. Y.

DEVICE FOR IPOLYSEC'IING ANY GIVEN ANGLE.

, To all whom. it may concern:

Beit known that I, Dnvm-Kunnma citizen of the United States of America, and

a resident of the city of New York,- borough of the Bronx, and State of New York, have invented a new and useful Device for Poly-v sccting Any Given Angle.

Therel are several mechanical devices'for polysecting an angle, but they are cumbersome in construction and require a number of adjustments before the desired angle is i obtained.

of parts'and requiring less adjustments than The object of my device is to provide an instrument forpolysecting an angle of simple construction employing the least number any of the other devices known.

One of the many advantages of my device is that it is very simple both in its construction and operation.

Another advantage is that it requires only one setting of the instrument to get the required angle.

A further advantage is that it is mathematically correct, there being no approximations in the theory of its action.

Other advantages will be apparent from the detailed description and the accompanying drawing, which forms a part of this specification and in which:

Figure 1 is a. plan view of my device, Fig. 2 is an elevation of my device taken on line 22 of Fig. 1. Fig. 3 is a section taken oneline 3-3 of Fig.1. Fig. 4 is a diagram showing the method of dividing an angle into four or any even number of equal parts and Fig. 5 is a diagram showing the method of dividing an angle into five. or any odd number of equal parts.

In the accompanying figures like numerals indicate corresponding parts in all views.

The

bars

7 and 9 comprising the external limiting members and being provided with slots 8 and 10 respectively are pivoted about the pin 20 so that the center lines of the slots 8 and 10 intersect at the center line of the pin 20. The bar 1 is pivoted about the pin 12 which is screwed into the bar 7. The

distance between the centers of the

pins

20 and 12 on the bar 7, as well as the distances between centers of

pins

12 and 13, 13 and 14, 14: and 15, etc., are made equal, thus making the barsl, 2, 3, 4/5, 6, etc., equal in length. The pin 13 holds the ends of bars 1 and 2 together allowing them to swing about it, while at the same time the pin Patented July 6, ions.

itself may slide in the slot 10. Similarly the pin 14 is a pivot for the bars 2 and 3 at the same time allowing their intersection to slide in the slot 8. In a similar'manner the intersections of the bars 3 and A, 4 and 5, 5 and 6, etc., are held by the pins 15, 16, 17. etc, respectively.. The bars 1, 2, 3, 4, 5 ar". 6 are thus interposed between the limitii 1

members

7 and 9. The pin 20 being provided with a prick point is adapted to be inserted into the handle 11 and held in place by the collar 19. The piece 21 is provided with two removable prick points 22 and 23 which are in turn adapted to be inserted into the center holes of the two pins 13 and 14 of bar 2, 14:.and 15 of bar '3, 15 and 16 of bar- 4, etc. The rounded lugs 24 and 25 are provided for the purpose of having the instrument stand horizontally at some distance above the plane of the paper, when in use, in order to facilitate the piercing of the

prick pins

20, 22 and 23 exactly through the required points. 1

Let us now assume that it is desired to divide an angle into four equal parts. Re-

ferring to Fig. 4:, let ABC be the given angle,

which is to be divided into four equal parts. Thepins 22 and 23 are now inserted into the central, holes of the pins 15 and 16 corresponding .to the bar 4. The pin 23 is placed over the point B while the pin 22 is placed on the line BC at the point d s0 that the center lineof the bar 4 coincides with the line BC and the points of the pins are pricked into the paper making the bar rigidly fixed. The pin 20 is now brought upon the line AB falling at point A and the point of the pin is pricked into the paper to 1 that the pins 22 and 28 are inserted into the central holes of the bar corresponding to the number of d 1v1s1ons required. For example, 1f six divisions are required the sixth bar from the vertex is used, if eight divisions are required the eighth bar is used, etc.

let it be required to divide the angle ABC into five equal parts the distance Bel equal to the distance between the centers of the holes in any of the bars is laid ofi' on BC, and the line dB is drawn parallel to the line ,AB. The pins 22 and 23 are now inse'rted'intothe central holes 15 and 16 of the bar 4, the number of bar being one less thanthe number of required divisions, while the two pin points are pricked into the paper'at points B and (Z thus making bar 4 coincide on its center line with line BC. Thepin .20 is now brought upon the line cZE falling atpoint E and is pricked into the paper. .The angle BEd or ABE is the required angle.

Proof:

Angle .dEB abE; angle 5ac:b0a:2 (ZEB. i

Angle (Zbc:cdb:cZEB+bca:3 dEB.

But angle dEB:ABE; hence angle cldrlztXABE, and angle ABC= ABE+ QBd SXABE.

Therefore angle ABE is -l-th of angle ABC. K

From the above example it is evident that for any other odd number of divisions the number of bar to be fixed upon the side BC mustbe one less than the number of re quired divisions. For'exainple, if seven divisions are required the sixth bar from thevertex is to be used, if nine divisions are required the eighth bar is' used, etc.

It was so far shown how to polysect an acute angle. If it is desired to polysect an obtuse angle, say into a parts, then referring to Fig. i, where CBD is the given angle, we have:

Angle CBDzCB n'ianncr, the sum of the two angles thus foundis the required angle. It is therefore evident that my device can be used for polysccting witlrone operation any given angle between 0 and 90 and with two operations any'anglebetween 90 and 180.

' The mechanism herein shown embodies my'prcferred form, though it may be modilied in some degree, however employing the same general principles.

- I def not wish therefore to limit myself wislr to include all mechanisms embodying the same princlples or my 'IIIVBIltIOII,

'specii'ie'me'chanism herein. shown but Having thus described my invention, I claim as new and wish to secure by Letters Patent:

1. A device for polysecting an angle, comprising a pair of external limiting members pivotally connected to each other and a plurality of links interposed between the said limiting members, each one of the said links being pivotally connected to an adjacent link, and all of the said links, except the innermost one toward the point of intersection of the said limiting members, being slidably connected to both of the said limiting members, the said innermost link being pivotally connected to one of the said limiting members and slidably connected to the other limiting member.

2. A device for polysecting an angle, comprising a pair of external limiting members pivotally connected to each other and a plurality of links of equal length pivotally connected to each other interposed between the said limitingmembers, each one of the said links, except the innermost one toward the point of intersection of-the said limiting members, being slidably. connected to both of the said limiting members, the said innermost link being pivotally connected to one of the said limiting members.

3. A device for polysecting an angle, comprising a pair of external limiting members pivotally connected to each other and a plurality of links of equal length interposed between thesaid limiting members, each one of the said links being pivotallyconnected to an adjacent link, and all of the said links, except the innermost one toward the point of intersection of the said limiting members, being ,slidably connected to both of the said limiting members, one end of-the said innermost link being pivotally connected to one of the said limiting members at a distance from the intersection of the said limiting members equal to the lengthof one link between its pivot centers,

while the other end is slidably connected to r the other limiting. member.

4. A device for polysecting an angle, comprising a pair of'eXt-ernal limiting members pivotally connected toeach other and a plurality of links interposed between the said limiting members, each one of the said links, except the extreme end ones, being pivotally connected at each of its extremities to an adjacent link and slidably connected to both of thesaidlimiting members at its points of intersection with the adjacent links" p 5. A device for polysecting an 'angle, comprising a pair of external limiting members pivotally connected to each other and a pluralityr of links .of equal lengthinter pos al between the said'i' limiting "members, each one fof thesaid"links except'the ex treme end ones, being 'pivo'tall'y connected ldneeted to each other interposed between the said limiting members, .each one of the said links except the innermost one toward the point of intersection of the said limiting members, being adapted to have its pivot pins at its extremities slide in the slots of both of the said limiting members, thereby forming a plurality of triangles of variable altitudes;

Signed at New York, county of New York and State of New York, this 7th day of January, 1915.

DAVID KAPLAN.

Witnesses:

Monnrs SIDRAN, NATHAN Bonsmz.