vill CONTENTS. 



CHAPTER III. 



RECIPROCAL SCREWS. 

 SECT. PAGE. 



22. Reciprocal Screws, -. . . .,'>*.,.., . . . 21 



23. Particular Instances, . ' Y . "... f *' . . ib. 



24. Screw Reciprocal to Cylindroid, . . .... . .22 



25. Reciprocal Cone, . . . . . . . ' ib. 



26. Locus of a Screw Reciprocal to Four Screws, 24 



27. Screw Reciprocal to Five Screws, , ? , ' 25 



28. Screw upon a Cylindroid Reciprocal to a Given Screw, . . .26 



29. Properties of the Cylindroid, .' .-. , , . ' .- . . ib. 



CHAPTER IV. 



SCREW CO-ORDINATES. 



30. Introduction, . . . . / . ' .' . . . . 28 



31. Intensities of the Components, . . ,. . , . 29 



32. The Intensity of the Resultant, . . -..' -3 



33. Co-reciprocal Screws, . . ... . . . . . 31 



34. Co-ordinates of a Wrench, .... . . . . 32 



35. The Work done in a Twist, . . . .,. ,.,.... . . ib. 



36. Screw Co-ordinates, . . . . . . . . 33 



37. Identical Relation, . . . . . ..,.,...'. ib. 



38. Calculation of Co-ordinates, .. . . \ . . . 34 



39. The Virtual Coefficient, . . , . .'..'.. . 35 



40. The Pitch, '.'..'.. . ib. 



41. Screw Reciprocal to Five Screws, . . . . . . ib. 



42. Co-ordinates of a Screw on a Cylindroid, . . ., 36 



CHAPTER V. 



GENERAL CONSIDERATIONS ON THE EQUILIBRIUM OF A RIGID 



BODY. 



43. The Screw Complex, 38 



44. Constraints, 39 



45. Screw Reciprocal to a Complex, . . . . . . ib. 



46. The Reciprocal Screw Complex, 40 



47. Equilibrium, 41 



48. Reaction of Constraints, ib. 



49. Parameters of a Screw Complex, 42 



50. Applications of Co-ordinates, 43 



