The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and the Sliding Rule: Teaching the Manner of Drawing All Regular Superficies, and the Contents of All Regular Solids, Both by Numbers and by the Sliding Rule. Treating Also of the Laws of Motion, the Descent of Falling Bodies, the Strength of Materials, the Mechanical Powers, the Elasticity and Force of Steam, Specific Gravities, Levelling, the Pendulum, Etc., Adapted for the Use of Carpenters, Shipwrights ... and Artisans Generally

D. Appleton & Company, 1849 - 276 sider

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Paragraphs Page 1 Description of the Sliding Rule	11

Multiplication on the Sliding Rule	19

The Rule of Three on the Sliding Rule	21

Extraction of the Square Root	25

Relation of the sides of a Rightangled Triangle to each other demonstrated	27

Extraction of the Cube Root	29

Extraction of the Fourth and Fifth Roots	32

Extraction of the Square Root on the Sliding Rule	33

Frustum of a Cone	135

Paragraphs Page 44 Prismoid	139

Sphere	141

Spherical Sector and Segments	144

Spherical Zone	147

SOLIDS GENERATED BY THE REVOLUTION OF THE CONIC SECTIONS	148

Prolate Spheroid	149

Segments of Spheroids	150

Construction of the Sliding Rule	36

Extraction of the Cube Root on the Sliding Rule	37

Tables of Long Square Cubic Dry and Liquid Measures	39

Four Methods of raising a Perpendicular	41

MENSURATION OF SUPERFICIES	44

The Rectangle	47

Rhombus	50

Rhomboid	52

Trapezoid	53

Triangle	54

Trapezium	58

Regular Polygons	61

The Circle	70

Circular Annulus	80

Circular Sector	81

Circular Segments	83

Circular Zone	89

Lune	90

MENSURATION OF CONIO SECTIONS	91

Parabola	96

Hyperbola	100

Cycloid	106

Irregular Boundary	107

MENSURATION OF SOLIDS	109

Cube	110

Parallelopiped	113

Prisms	116

Cylinder	119

Method of Gauging Mill Logs	121

Regular Pyramids	124

The Five Regular Solids	128

Frustums of Pyramids	131

Cone	134

Frustums or Zones of Spheroids	151

Paraboloid	152

Hyperboloid	154

Cylindric Rings	155

Spindles	156

Middle Frustums of Spindles	158

Irregular Solids	160

GAUGING Cask Gauging c	165

Tonnage of Ships method of computing	171

Coalpit method of finding the solidity	172

Grindstones	173

Levelling Curvature of the Earth c	174

Mensuration of Heights and Distances	178

Important Geometrical Ratios	182

Rules for the Solution of Difficult Problems	183

Capacities of Superficies and Solids	199

Specific Gravity of Bodies	200

On the Weight of Bodies	205

Weight and Value of Coins	210

Piling of Balls and Shells	211

Laws of Falling Bodies	213

Projectiles Range Altitude c	216

Mensuration of Distances by the Velocity of Sound	220

Properties of Air and of Water	221

Expansibility and Force of Steam	225

The Pendulum	226

Laws of Motion	228

Simple Mechanical Powers and Machinery	232

Strength and Elasticity of Materials	246

Miscellaneous Examples	253

Wedges 137	267

Gauge POINTS 14 15 19 21 22 33 34 36 82	274

Tittel	The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and the Sliding Rule: Teaching the Manner of Drawing All Regular Superficies, and the Contents of All Regular Solids, Both by Numbers and by the Sliding Rule. Treating Also of the Laws of Motion, the Descent of Falling Bodies ...
Forfatter	D. M. Knapen
Utgiver	D. Appleton & Company, 1849
Original fra	University of Michigan
Digitalisert	11. jun 2007
Lengde	276 sider

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