Grimoire Quadrantis Telemetrum
GQT6, January 2026: 564 pages, black & white. 244 graphics, 39 tables. Perfect bound. 8.5" x 5.5" (21.6 x 14 cm). Also available as an ebook.
Contents
New additions in GQT6 in bold.
- Preface
- Preface to the 5th Edition
- Preface to the 4th Edition
- Preliminary Notes
- Follow the Math
- Naked-Eye Astronomy
- Basics
- Disclaimer
- Quick Start
Wndsn Quadrant Telemeters
- Overview
- What is a Telemeter?
- Why Low Tech?
- Required and Acquired Skills
- Applications
- Historical Background
- Background
- Kamal
- Nomography
- Slide Rules
The Telemeter
- Introduction
- Preparation
- Initial String Setup
- Positioning the Knots
- Tools
- Device Overview: Telemeter
- Telemeter Sighting
- The Dog Tag Telemeter
- Principles
- The Telemeter Triangle
- Angular Size
- Unitlessness
- Extending the Scales
- Powers of 10 and Scale Jumps
- Wndsn String Theory
- Measurement Accuracy
- Functions
- Measuring Distance
- Determining Object Sizes
- Measuring Distance from Eye Level
- Measuring Height
- Piano Scales
- Measuring in the Dark
- Thumb as Caliper
- Small-Angle Calculations
- Using the Inch Scale
- Methods
- Height of Train vs. Length
- Distance of Cylindrical Objects
- Depth of a Well
- Distance to the Moon
- Measuring Time Against the Stars
- Telemeter as Coordinate Scale
- Resection
- Triangulation
- Trilateration
- Triangulateration
- Dipping Distance
- Resection Error Margins
- Dog Tag Telemeter as Inclinometer
- Measuring MIL with the Telemeter
- Measuring MIL with a Ruler
The (Surveying) Quadrant
- Introduction
- What is a Quadrant?
- What is an Inclinometer?
- Initial Quadrant Setup
- Preparing the Plumb Line
- Tools
- Device Overview: Surveying Quadrant
- Transversal Scale
- Quadrant Sighting
- Measuring Angles
- Sexagesimal System
- Principles
- Parallel Translation
- Projection via Gravity
- Extending the Inclinometer Scale
- Functions
- Quadrant and Inclinometer Operation
- Finding Sine and Cosine
- Using the Shadow Square
- Finding Tangent
- Calculating Slope
- Methods
- Nine Standard Situations
- Distance & Elevation via Remote Surface
- Distance & Width via Own Elevation
- Distance & Remote Elevation via Own Surface
- Distance & Elevation via Lowered Elevation
- Distance & Elevation via Raised Feature
- Distance & Remote Elevation via Raised Feature
- Distance & Elevation via Towering Elevation
- Distance & Remote Elevation via Own Elevation
- Distance & Remote Elevation via Arbitrary Feature
- Conclusion of the Nine Situations
Mastery of Time and Space
- Introduction
- Astronomy
- Foundations
- Astronomical Coordinate Systems
- The Navigational Triangle
- Converting between Systems
- The Ecliptic
- Sun Declination
- Solar Time
- Circumpolar Stars
The Astronomical Quadrant
- Introduction
- Tools
- Device Overview: Astronomical Quadrant
- Right Ascension Converter
- Principles
- Calculating Time
- Unequal Hours
- Equal Hours
- Functions
- Using the Calendar
- How to Use the Analemma Symbol
- How to Use the Circumpolar Declination Symbol
- Using the Obliquity Arc
- Calculating Twilight
- Positions of Stars
- The Star Map Projection
- Implementation and Use of Azimuth Lines
- Methods
- Sun Calculations
- Measuring Local Latitude
- Measuring Sun Altitude
- Calculating Sun Declination
- Calculating Sun Altitude
- Determining Time
- Determining Time for Ritual Use
- Longitude via Time
- Sun Compass
- Equatorial Sundial
- Determining Sunlight Hours
- Star Compass
- Using the Star Map
- Exercise: Find a Location
The Sine Quadrant
- Introduction
- Tools
- Device Overview: Sine Quadrant
- The Main Scales
- Principles
- Moving the String
- Quadrant Symmetries
- Functions
- Finding Sine or Cosine
- Finding Tangent or Cotangent
- Determining Secant and Cosecant
- Basic Equations
- Addition of Sine or Cosine
- Multiplication of Sine or Cosine
- Chaining Multiplications
- Multiplication of Tangent
- Division of Sine or Cosine
- Division of Sine (or Cosine) to Tangent
- Division of Sine and Cosine to Tangent
- Division of Tangent
- Squaring Sine or Cosine
- Chaining Squares
- Square Roots of Sine or Cosine
- Chaining Square Roots
- Working with Non-Angles
- Methods
- Great Circle Calculations
- Determining Latitude
- Finding Latitude with a Compass
- Determining the Diurnal Arc
- Determining Hour Angle
- Additional Hour Angle Formulas
- Determining Sunrise Azimuth
- Sunrise Direction on Sine vs. Astronomical Quad
- Additional Sun Azimuth Formulas
- Declination without Obliquity Arc
- Course and Distance with the Dot Grid
- Celestial Navigation: Sight Reduction
Appendix
- Metrology
- Uncertainty
- Accuracy vs. Precision
- False Precision
- Precision or Accuracy?
- Accuracy Determinations
- Precision of the Quadrant Telemeter
- Calculating Scale Accuracy
- Calibration
- Making Of
- Toolmaking
- Engravings
- Materials
- Instrument Care
- Reference
- Trigonometry
- Spherical Trigonometry
- Moon Heuristics
- High Precision Calculators
- Useful Tables
- Multipliers for a Given Angle
- Radian in Degrees in MIL in MOA
- Measuring MIL with the Telemeter
- Slope in Degrees
- Slope in Percent
- Calculations for 24 × 24 Shadow Square
- Calculations for 20 × 20 Shadow Square
- Sun Declination by Day
- Equation of Time Over the Year
- Dog Tag Telemeter Slope Values
- Length Measurement Conversions
- Star Visibility
- Moon Heuristics
- Axial tilt
- Navigation Stars
- Sidereal Time Calculator
- Indexed Glossary
- Symbols
- Bibliography
- About Wndsn
- Contact
- Colophon