Scale-Combined Telescope Clinometer and Prismatic Compass— - CHAPTER IV. TRIGONOMETRY AS APPLIED TO SURVEYING. Plane Surface-Plane Angle-Plane Rectilineal Angle-Perpendicular - - PAGE 29-83 Solution of Right-angled Triangles-Trigonometrical Ratios of Two Angles-Sine and Difference of Sines and Cosines-Sine and Cosine of Twice an Angle in Terms of Sine and Cosine of the Angle-Sine and Cosines of Twice an Angle in Terms of Sine and Cosine of Half the Angle-Sine and Cosine of Twice an Angle in terms of Sine and Cosine of the Sum of Three Angles-Sine and Cosine of Twice an Angle in Terms of Sine and Cosine of Three Times one Angle-Oblique-angled Triangles-Sines and Cosines in Terms of Sides-Sines and Cosines of Semi-angles-Logarithms-The Charac- teristic-The Mantissa-Multiplication by Logarithms-Division by Logarithms-Proportion by Logarithms-Arithmetical Comple- ment-Involution by Logarithms-Evolution by Logarithms— Natural and Logarithmic Sines, &c.-Arithmetical Computation-- Solution of Triangles by Natural Sines-Solution of Oblique Triangles by Logarithms - Inaccessible Heights- Inaccessible Surveying with Chain only-Field Book-Ordnance Field Book-Neces- 132-145 Check-lines obviated—Accurately mark Station—When to take Angles— The necessary Number of Angles-Angles necessary-Surveyor's Institution Examination-First a Chain Survey-What to avoid- Surveying a River-Don't spare the Use of the Theodolite- Traversing with Chain-Traversing by Included Angles-Guarding against Metallic Attractions whilst Traversing-Plenty of Assistance required in Traversing-Northings and Southings in Traversing— As to closing a Traverse-Necessity for Care in checking-Rela- tive Positions of Bearings-Magnetic Variation or Declination 155-160 As to marking Stations in Streets-Taking Angles-Objections to Lamp- posts, &c.-Taking Observations in Crooked Streets-As to the Chain-When to take Angles-Do not erase Figures in Book—Use Arrows for counting-As to Buildings-Lamp-posts, Gullies, &c.- Definition-Curvature of the Earth-Allowance for the Earth's Curva- Foot Plates-Keeping the Level Book-Making up the Level Book 171-198 Vertical Intervals and Horizontal Equivalents-Hypotenusal' Allow- Necessity for System-Roughly plot the Survey Lines-Let the Paper General Principles-Limit of Radii—Preliminary Operations—Tangent Points-Tangential Angle-Length of Curve-Impeded Point in Curve-Apex Inaccessible-Setting out with two Theodolites- Curves of different Radii - Curves of Contraflexure-Formula for Curves-Table of Tangential Angles-Setting out by Offsets- Curve Offset Rule-Setting out from same Tangent-Setting out by Curves-Drawing Pens-Dividers Spring Bows-Drawing Instru- ments-Proportional Compasses - India Rubber - Indian Ink- Colours-Conventional Signs and Colours-Model Plan-Inking- in-Reference-As to Position of Place on Paper-Boundaries of different Properties-Paint Brushes and Pencils-Precautions in Colouring-North Points-Borders-Printing and Writing on Plans-Scales-Enlarging and Reducing Plans-Pantagraph—Eido- |