CONTENTS OF THE SIXTH DISSERTATION. 
~ 
CHAPTER I.—INTRODUCTORY. 
On the Plan of this Dissertation.......s.+-0.-cs000+« page 799 
§ 2. On the relations b Mathematics and Natural 
Philosophy, and between the latter and the Mechanical 
SATEO sehen seeks sdsaransss oeeeees weerecereese ¢o4 canssnitee sana page 805 
CHAPTER II,—PHYSICAL ASTRONOMY AND ANALYTICAL MECHANICS. 
§ 1. Laeranor.—Variation of Parameters—Applicati 
to Physical Astronomy. The Stability of the Planetary 
System; Laplace; Poisson. Moon’s Libration..page 
§ 2. LAPLACE.—Lunar Theory Improved.—Great Ine- 
quality of Jupiter and Saturn.—Theory of the Tides 
—Young; Dr Whewell ; Mr Airy.—TZheory of Pro- 
babilities—Character of Laplace as a Physicist and 
AUTHOR 50. 0.000006 Se acesensrevcuncdecdeenrenncecerassesees page 
§ 3. LEGENDRE. —Ivonr—heory of Integration; El- 
liptic Transcendants (Abel, Jacobi), The Attraction 
809 
814 
of Spheroids, and Theory of the Darth’s Figure. At- 
mospherical Refractions ... Sys +..page 822 
. Progress of Physical Aninony since hd publication 
of the Mécanique Céleste—Po1sson.—Theory of Ro- 
tation (Poinsot)—Mr Atry—The Solar Theory.— 
MM. Puana and Hansen—The Lunar Np 
Physical Astronomy in America.. «page 824 
M. LEVERRIER—Mr ApAse—The inverse y mdthed 
of Perturbations. Prediction of the place and orbit of 
Neptune from the motions of Uranus,........ seve» page 827 
§ 5. 
CHAPTER II—ASTRONOMY. 
§ 1. MASKELYNE—DELAMBRE.—Progress of Practical 
Astronomy from 1770 till 1810—of the Lunar Theory 
deduced from Observatii The Density and Figure of 
the Globe. Cavendish ; Baily.—Trigonometrical Sur- 
§ 2. Sm WittiaM HEeRscw#Eet—AHistory of Sidereal and 
Telescopic Astronomy to 1820. Herschel as an Opti- 
cian—Planet Uranus—Solar Spots—Orbits of Double 
Stars—Nebule—The Milky Way—Sun’s Motion in 
Space .. 
§ 3. Braww-=Me Arry—Modern Observatories. Fixed 
Star Catalogues—Planetary and Lunar Observa- 
ONE. 5. onsisnvesnunynpeeeseeves UEieieca de asrh tis seeee-page 847 
§ 4, Borpa—KaTee—Batzy. The Figure of the Earth 
from Pendulum Observations—“ Reduction to a va- 
cuum;? Mr Stokes. —Colonel Everest — M. 
Srruve—Latest Measures of the Earth, M. Fovu- 
CAULT’S Pendulum Experiment .......... sescecweses page 850 
§ 5. M. ENckE. Cometary Astri y—Periodic Comets 
of Halley and Encke. GAaMBART’s and Biela’s Co- 
met—OComets of 1811 and 1843.—Mr Htnp—WNew 
Plamets or Asteroids. 7: co eae disco- 
vered Satellites. Mr Bond .. Resboe® «page 855 
§ 6. Sidereal Astronomy since "1820. ae’ “ greovE— 
Double Stars. Observatories of Dorpat and Pulkowa. 
Six Joun HerscuEL— Orbits of Double Stars. Mag- 
nitudes of Stars. Variable Stars. Bart oF Rosse 
—His Telescopes. Nebule, HENDERSON and BrEs- 
SEL—Parallax of Stars ...sscceseeseseeeesorseeeeee page 861 
] 
CHAPTER IV.—MECHANICS OF SOLID AND FLUID BODIES, CIVIL ENGINEERING, 
AND ACOUSTICS, 
§ 1. Watt.—Oondition of Practical Mechanics previous 
to the time of Watt. His genius for the application 
of Science to Practice, His successive Improvements 
on the Steam-Engine. Steam Navigation ........, page 
§ 2. Ropison.—Application of Statical Principles to 
Engineering—especially to practical Masonry. Cov- 
LOMB.—Friction—Force of Torsion ...,..+..1++00++ page 
§ 3. Tuomas Youna—Strength of Materials, = Art 
_ of Construction ( d).—TELFORD—Introduc- 
tion of Iron into permanent Structures. Suspension 
Bridges—Tredgold ; Mr Hodgkinson ; M. Navier— 
Mr Ropert StepHENSON— Tubular Bridges....page 874 
§ 4. Sir M, I. Brunen,—Self-acting Machinery.— Thames 
Tunnel.—Mr BABBAGE’s Calculating Engines..,page 878 
865 
870 
§ 5. TreviTHicK.—Grorer STEPHENSON.—The Loco- 
motive Steam-Engine.—Rise and Progress of Rail- 
ways.—M. de Pambour on Locomotives............page 81 
§ 6. Hydrodynamics—DuBuat, VENTURI, Professor 
Srokes.—Friction and Resistance of Fluids —MM. 
Wesrr, Mr Scotr RussELL — Propagation of 
Waves. Their influence on Canal Navigation.—MM. 
FouRNEYRON and PONCELET—Improved Hydraulic 
‘Machines ; Turbine. Reference to the subject of Capil- 
lary Attraction .......ceceeee wees page 886 
§ 7. Progress of Acoustics, CHLADNI— Savant — La- 
place’s Correction of the Theory of Sound. Vibrating 
Plates and Acoustic enters ett de la Tour’s 
« Siréne,” eeseveceeesee page 891 
Deanne eee en ewenees 
Hee Eee eR ewe nena 
