A Treatise on the Theory of Screws

CHAPTER III . Reciprocal Screws. §§ PAGE 20. Reciprocal Screws...........................................26 21. Particular Instances........................................26 22. Screw Reciprocal to Cylindroid..............................26 23. Reciprocal Cone.............................................27 24. Locus of a Screw Reciprocal to Four Screws..................29 25. Screw Reciprocal to Five Screws.............................30 26. Screw upon a Cylindroid Reciprocal to a Given Screw .... 30 27. Properties of the Cylindroid .......... 30 CHAPTER IV . Screw Co-ordinates. 28. Introduction.............................................................31 29. Intensities of the Components............................................32 30. The Intensity of the Resultant......................................... 33 31. Co-reciprocal Screws.....................................................33 32. Co-ordinates of a Wrench.................................................34 33. The Work done............................................................34 34. Sci’ew Co-ordinates......................................................34 35. Identical Relation.......................................................35 36. Calculation of Co-oi’dinates.............................................35 37. The Virtual Coefficient..................................................36 38. The Pitch................................................................36 39. Screw Reciprocal to Five Screws..........................................36 40. Co-ordinates of a Screw on a Cylindroid ....... 37 41. The Canonical Go-reciprocals.............................................38 42. An Expression for the Virtual Coefficient................................38 43. Equations of a Screw.....................................................38 44. A Screw of Infinite Pitch................................................39 45. Indeterminate Screw......................................................40 46. A Screw at Infinity......................................................41 47. Screws on One Axis.......................................................41 48. Transformation of Screw Co-ordinates.....................................42 49. Principal Screws on a Cylindroid.........................................43 CHAPTER V . The Representation of the Cylindroid by a Circle. 50. A Plane Representation .......... 45 51. The Axis of Pitch........................................................46 52. The Distance between Two Screws..........................................47