Mechanical linkage for generating a curved surface

Claim 1

AN APPARATUS ADAPTED TO POSITION AN ARM ON A CURVED SURFACE OF ROTATION, THE APPARATUS COMPRISING IN COOPERATIVE COMBINATION A BASE MEMBER HAVING A FIXED PIVOT POINT, THE FIXED PIVOT POINT HAVING MEANS TO SECURE THE BASE ROTATABLY TO A REFERENCE SURFACE, THE BASE MEMBER CONSTRUCTED SO AS TO ROTATE ABOUT THE PIVOT POINT IN A PLANE GENERALLY NORMAL TO THE AXIS OF THE PIVOT, THE BASE DEFINING A MODEL SURFACE, THE MODEL SURFACE BEING A MODEL OF THE CURVATURE OF AT LEAST A PORTION OF THE CURVATURE OF THE CROSS SECTIONAL CONFIGURATION OF A RADIAL SECTION OF THE DESIRED SURFACE, THE BASE MEMBER FURTHER DEFINING A GUIDE MEANS, A FIRST ARM, A SECOND ARM, A THIRD ARM AND A FOURTH ARM, THE FIRST ARM BEING PIVOTALLY CONNECTED TO THE SECOND AND FOURTH ARMS, THE THIRD ARM ALSO BEING PIVOTALLY CONNECTED TO THE SECOND AND FOURTH ARMS AT POSITIONS REMOTE FROM THE PIVOTAL CONNECTIONS OF THE FIRST ARM TO FORM A QUADRILATERAL FIGURE OF A FOUR BAR LINKAGE, THE FIRST ARM PIVOTALLY CONNECTED TO THE BASE MEMBER TO PIVOT IN THE PLANE CONTAINING THE AXIS OF THE BASE MEMBER FIXED PIVOT, THE FIRST AND SECOND ARMS BEING DISPOSED GENERALLY ADJACENT THE BASE MEMBER, THE THIRD AND FOURTH ARMS BEING DISPOSED GENERALLY REMOTE FROM THE BASE MEMBER, A GUIDE MEANS FOLLOWER SECURED TO THE PIVOTAL CONNECTION BETWEEN THE FIRST AND SECOND ARMS AND POSITIONED TO ENGAGE THE GUIDE MEANS, A MODEL SURFACE FOLLOWER SECURED TO THE SECOND ARM AND POSITIONED TO ENGAGE THE MODEL SURFACE OF THE BASE, THE PIVOTAL CONNECTIONS BETWEEN THE FOUR ARMS HAVING GENERALLY PARALLEL AXES WHICH ARE PARALLEL TO THE AXIS OF THE PIVOTAL CONNECTION OF THE FIRST ARM TO THE BASE MEMBER.

Claim 2

AN APPARATUS ADAPTED TO POSITION AN ARM ON A CURVED SURFACE OF ROTATION, THE APPARATUS COMPRISING IN COOPERATIVE COMBINATION A BASE MEMBER HAVING A FIXED PIVOT POINT, THE FIXED PIVOT POINT HAVING MEANS TO SECURE THE BASE ROTATABLY TO A REFERENCE SURFACE, THE BASE MEMBER CONSTRUCTED SO AS TO ROTATE ABOUT THE PIVOT POINT IN A PLANE GENERALLY NORMAL TO THE AXIS OF THE PIVOT, THE BASE DEFINING A MODEL SURFACE, THE MODEL SURFACE BEING A MODEL OF THE CURVATURE OF AT LEAST A PORTION OF THE CURVATURE OF THE CROSS SECTIONAL CONFIGURATION OF A RADIAL SECTION OF THE DESIRED SURFACE, THE BASE MEMBER FURTHER DEFINING A GUIDE MEANS, A FIRST ARM, A SECOND ARM, A THIRD ARM AND A FOURTH ARM, THE FIRST ARM BEING PIVOTALLY CONNECTED TO THE SECOND AND FOURTH ARMS, THE THIRD ARM ALSO BEING PIVOTALLY CONNECTED TO THE SECOND AND FOURTH ARMS AT POSITIONS REMOTE FROM THE PIVOTAL CONNECTIONS OF THE FIRST ARM TO FORM A QUADRILATERAL FIGURE OF A FOUR BAR LINKAGE, THE FIRST ARM PIVOTALLY CONNECTED TO THE BASE MEMBER TO PIVOT IN THE PLANE CONTAINING THE AXIS OF THE BASE MEMBER FIXED PIVOT, THE FIRST AND SECOND ARMS BEING DISPOSED GENERALLY ADJACENT THE BASE MEMBER, THE THIRD AND FOURTH ARMS BEING DISPOSED GENERALLY REMOTE FROM THE BASE MEMBER, A GUIDE MEANS FOLLOWER SECURED TO THE PIVOTAL CONNECTION BETWEEN THE FIRST AND SECOND ARMS AND POSITIONED TO ENGAGE THE GUIDE MEANS, A MODEL SURFACE FOLLOWER SECURED TO THE SECOND ARM AND POSITIONED TO ENGAGE THE MODEL SURFACE OF THE BASE, THE PIVOTAL CONNECTIONS BETWEEN THE FOUR ARMS HAVING GENERALLY PARALLEL AXES WHICH ARE PARALLEL TO THE AXIS OF THE PIVOTAL CONNECTION OF THE FIRST ARM TO THE BASE MEMBER.