Mathematical and astronomical tables ... With an introduction containing the explanation and use of the Tables, etc

1834

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1 PROPERTIES of LOGARITHMS	1

Construction of Tables of Logarithms	4

Trigonometrical Lines called Sines c	8

Multiples and Powers of Arcs	12

PLANE TRIGONOMETRY	16

63	23

Its Application to Sailings in Navigation	25

Its Application to the Mensuration of Heights and Distances	32

LandSurveying	186

Levelling	189

RULES and FORMULE 1 The best Form of Triangles	191

To compute the Spherical Excess	193

To determine the Horizontal Refraction by Rules or Formulæ	194

To determine a Degree of Latitude	195

To determine a Degree of Longitude	196

To find the Length of a Perpendicular Degree	197

66	41

Its Application to the Determination of the Lines and Angles in Regular Fortresses and a Table of their Measures 52	52

Barometric Measurement of Altitudes	53

Correction of the Moons Altitude sufficiently accurate	64

SPHERICAL TRIGONOMETRY	72

Solution of Spherical Triangles	79

Napiers Rules of the Circular Parts for Rightangled Spherical Triangles	80

Maskelynes Rules for determining the Latitude and Longitude from the Right Ascension Declination and the Obliquity of the Ecliptic c	85

Solution of Obliqueangled Spherical Triangles	92

Correction of Astronomical Observations for Refraction Paral lax c	95

Rules for computing the Time Azimuth c	99

On finding the Latitude by Observation	103

To find the Latitude and Azimuth by the Pole Star	111

On finding the Longitude 11 1 By Lunars	117

By Chronometers	138

Equation to Equal Altitudes	141

Decimal Fractions of a Day Hour c	147

By Occultations and Eclipses	148

By the Moons Transit	163

Of the Transit Instrument	168

To take a Transit	170

To bring a TransitInstrument into the Meridian	171

To determine the Error and Rate of a Clock or Chronometer by the TransitInstrument	176

Summary of Directions for making a Series of Observations with the Transit	178

MENSURATION SURVEYING FORMULÆ	180

Mensuration of Solids	184

Table of the Surfaces and Solidities of the Regular Bodies	185

Sir Thomas M Brisbanes Determination of the Latitude and Longitude of his Observatory at Makerston by Comparison with the Trigonometrical Sur...	199

Specific Gravity	200

To determine the Specific Gravity of Air dry saturated with Moisture and according to the actual State of the Atmosphere	201

To determine Specific Gravities in Vacuo exemplified by Captain Katers Pendulum at London	202

To determine the Effects of the Buoyancy of the Atmosphere on the Pendulum 203	203

Correction of Pendulums vibrating in Circular Arcs 204	204

Determination of the Length of the Pendulum at different Points on the Earths Surface 205	205

Formulæ for estimating small Variations in the Length of the Pendulum or the Number of Vibrations	206

Velocity of Sound under given Circumstances	208

Discharge of Waterpipes Rivers Canals c	209

Fall in a River by Obstruction in the Stream	210

Strength of Timber	214

Gunnery	217

APPENDIX	263

Table of Distances from Parallels to the Meridian	278

Logarithms of Numbers	1

Signs of Trigonometrical Lines 12	12

Multiples and Powers of Arcs 14 15	14

Differences and Differentials of Trigonometrical Lines 15	15

Angles which every Point and Quarter Point of	17

17	33

Correction for Curvature of the Earth 41	41

Measures of Forts 53	53

Natural Sines Tangents Secants and Versines	63

Suns Parallax in Altitude	85

Logarithms of the Earths Radii on the Spheroid 239 91	91

Titre	Mathematical and astronomical tables ... With an introduction containing the explanation and use of the Tables, etc
Auteur	William GALBRAITH (M.A., of Edinburgh.)
Publié	1834
Original provenant de	The British Library
Numérisé	5 déc. 2013

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