A Treatise on the Theory of Screws

Forfatter: Sir Robert Stawell Ball

År: 1900

Forlag: The University Press

Sted: Cambride

Sider: 544

UDK: 531.1

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__ ■■■■■■■■__ xiv CONTENTS. §§ PAGE 226. Polar Screws................................................ 227. Dynamical Application of Polar Screws________________________241 228. On the Degrees of certain Surfaces____________________________242 CHAPTER XVII . Freedom of the Fifth Order. 229. Screw Reciprocal to Five Screws_______________________________________246 230. Six Screws Reciprocal to One Screw__________________________________247 231. Four Screws of a Five-system on every Quadric____________________250 232. Impulsive Screws and Instantaneous Screws . . . . • 251 233. Analytical Method......................................................252 234. Principal Screws of Inertia____________________________________________252 235. The Limits of the Roots____________________________________________253 236. The Pectenoid......................................................254 CHAPTER XVIII . Freedom of the Sixth Order. 237. Introduction________________________________________________________258 238. Impulsive Screws___________________________________________________258 239. Theorem____________________________________________________________ 240. Theorem____________________________________________________________260 241. Principal Axis ._______________________________________________260 242. Harmonic Screws_______________________ CHAPTER XIX. Homographic Screw Systems. 243. Introduction_______________________________________________________262 244. On Plane Homographic Systems_____________________________________262 245. Homographic Screw Systems _____________________________________........ 263 246. Relations among the Co-ordinates ________________________________....... 263 247. The Double Screws______________________________________________264 248. The Seven Pairs__________________________________________________264 249. Honiographic n-systems______________________________________________265 250. Analogy to Anharmonic Ratio_____________________________________266 251. A Physical Correspondence_________________________________________26/ 252. Impulsive and Instantaneous Systems________________________________267 253. Special type of Homography_________________________________________268 254. Reduction to a Canonical Form_____________________________________269 255. Correspondence of a Screw and a System____________________________270 256. Correspondence of m and n Systems________________________________271 257. Screws common to the Two Systems________________________________271 258. Corresponding Screws defined by Equations_______________________272 259. Generalization of Anharmonic Ratio________________________________273 _____________________________________________________________________________