Acknowledgments |
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v | |
Abbreviations |
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xi | |
Note |
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xiii | |
Introduction |
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1 | (1) |
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1 | (4) |
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The genesis of fluid dynamics: a summary |
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5 | (40) |
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PART I THE PROBLEM OF RESISTANCE |
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45 | (222) |
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The Forerunners of Impact Theory: Huygens and Mariotte |
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55 | (18) |
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Measurement of resistance |
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55 | (2) |
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Huygens and his Experiments |
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57 | (7) |
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Mariotte and the theory of jets |
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64 | (7) |
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Experiment of a jet against a plate |
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71 | (2) |
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Impact Theory: Formulation and Formalisation |
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73 | (52) |
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The contribution of Newton |
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73 | (3) |
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The concept of fluids in the Principia |
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76 | (5) |
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81 | (8) |
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Resistance in aeriform fluids |
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89 | (6) |
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95 | (4) |
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99 | (8) |
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107 | (4) |
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Final comments on the Principia |
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111 | (2) |
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The formalisation of impact theory |
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113 | (1) |
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The approach of Jakob Bernoulli |
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114 | (8) |
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The solid of minimum resistance |
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122 | (1) |
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123 | (2) |
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The Evolution of the Problem of Resistance |
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125 | (60) |
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Problems of impact theory |
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125 | (3) |
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Johann Bernoulli and the `communication of motion' |
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128 | (4) |
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Theories and experiments of Daniel Bernoulli |
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132 | (5) |
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Jet against a plate: Daniel Bernoulli's clarifications |
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137 | (6) |
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The naval work of Pierre Bouguer |
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143 | (2) |
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145 | (4) |
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Robins' New Principles of Gunnery |
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149 | (9) |
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158 | (9) |
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167 | (8) |
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175 | (7) |
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182 | (3) |
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Experiments on Resistance |
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185 | (30) |
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185 | (2) |
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187 | (3) |
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190 | (2) |
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192 | (1) |
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192 | (1) |
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193 | (1) |
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193 | (1) |
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194 | (3) |
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197 | (5) |
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The experiments of Bossut |
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202 | (5) |
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Proportionality with the square of the velocity |
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207 | (1) |
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Proportionality with the surface |
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208 | (1) |
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Proportionality with the square of the sine |
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209 | (6) |
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Fluid-Driven Machines and Naval Theories |
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215 | (52) |
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215 | (2) |
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The functioning principles of the machines |
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217 | (4) |
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221 | (2) |
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223 | (3) |
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The studies of Bossut and others |
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226 | (2) |
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228 | (9) |
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237 | (5) |
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242 | (4) |
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246 | (8) |
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254 | (13) |
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PART II THE PROBLEM OF DISCHARGE |
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267 | (226) |
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Discharge from Vessels and Tanks |
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271 | (22) |
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271 | (2) |
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The work of the Paris Academy |
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273 | (2) |
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275 | (3) |
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278 | (4) |
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282 | (1) |
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283 | (10) |
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The Hydrodynamica and the Hydraulica |
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293 | (62) |
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Daniel and Johann Bernoulli |
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293 | (5) |
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The basic principles of the Hydrodynamica |
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298 | (6) |
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Motion through tubes in the Hydrodynamica |
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304 | (10) |
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314 | (6) |
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The discharge of elastic fluids |
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320 | (6) |
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Johann Bernoulli's Hydraulica |
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326 | (12) |
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D'Alembert's account of motion in tubes |
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338 | (8) |
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346 | (6) |
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352 | (3) |
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Theoretical Constructions (I): Clairaut and D'Alembert |
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355 | (46) |
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355 | (3) |
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358 | (2) |
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Clairaut's equilibrium conditions |
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360 | (8) |
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368 | (3) |
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371 | (3) |
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Principles of dynamics and hydrostatics |
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374 | (4) |
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Bodies in flowing currents |
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378 | (3) |
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Solution using lateral forces |
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381 | (5) |
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Solution by constancy of volume |
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386 | (9) |
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Bodies moving in a stationary fluid |
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395 | (4) |
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Conclusion: D'Alembert's contributions |
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399 | (2) |
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Theoretical Constructions (II): Euler |
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401 | (52) |
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401 | (1) |
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Principia motus fluidorum |
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402 | (17) |
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General principles of the state of equilibrium of the fluids |
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419 | (7) |
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General principles of the motion of fluids |
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426 | (9) |
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Sequel to the researches on the motions of fluids |
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435 | (9) |
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444 | (1) |
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Lagrange's paper on fluids |
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445 | (8) |
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Application of Fluid Mechanics to Pumps and Turbines |
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453 | (40) |
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454 | (2) |
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456 | (6) |
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462 | (4) |
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466 | (3) |
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Daniel Bernoulli on jet propulsion |
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469 | (3) |
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472 | (3) |
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475 | (2) |
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477 | (3) |
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480 | (1) |
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481 | (1) |
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481 | (9) |
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490 | (2) |
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Recapitulation: hydraulic machines |
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492 | (1) |
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493 | (4) |
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493 | (4) |
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497 | (14) |
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497 | (8) |
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Periodical publications, collections and completed works |
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505 | (1) |
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506 | (5) |
Dramatis Personæ |
|
511 | (2) |
Index |
|
513 | |