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Grimoire Quadrantis Telemetrum

398 pages, black & white. 129 graphics, 22 tables. Perfect bound. 8" x 5" (20.5 x 13.5 cm)


Contents

  • Preface to the 4th Edition
  • Preface to the 3rd Edition
  • Wndsn Quadrant Telemeters
  • Overview
    • What is a Telemeter?
    • Why Low Tech?
    • Applications
  • Historical Background
    • Background
    • Kamal
    • Nomography
    • Slide Rules
  • The Telemeter
  • Introduction
  • Preparation
    • Initial String Setup
    • Positioning the Knots
  • Tools
    • Device Overview: Telemeter
    • Telemeter Sighting
  • 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 Height
    • Measuring in the Dark
    • Thumb as Caliper
    • Small-Angle Calculations
    • Methods
    • Height of Train vs. Length
    • Distance of Cylindrical Objects
    • Measuring the Distance to the Moon
    • Measuring Time Against the Stars
    • The Telemeter as Coordinate Scale
    • Resection
    • Triangulation
    • Trilateration
    • Triangulateration
    • Resection Error Margins
  • The Quadrant
  • Introduction
    • What is a Quadrant?
    • What is an Inclinometer?
  • Initial Quadrant Setup
    • Preparing the Plumb Line
  • Tools
    • Device Overview: Quadrant
    • Transversal Scale
    • Quadrant Sighting
    • Sexagesimal System
  • Principles
    • Parallel Translation
    • Projection via Gravity
  • Functions
    • Quadrant and Inclinometer Operation
    • Finding Sine and Cosine
    • Using the Shadow Square
    • Finding Tangent
    • Calculating Slope
  • Methods
    • Measuring the Depth of a Well
    • Measuring from an Elevation
    • Measuring an Elevated Object
  • Mastery of Time and Space
  • Introduction
  • Astronomy
    • Foundations
    • Astronomical Coordinate Systems
    • The Navigational Triangle
    • Converting between Systems
    • The Ecliptic
    • The Declination of the Sun
  • The Horary Quadrant
  • Introduction
  • Tools
    • Device Overview: Quadrant
  • Principles
    • Calculating Time
    • Seasonal ("Unequal") Hours
    • Equinoctial ("Equal") Hours
    • Functions
    • Using the Calendar
    • Using the Obliquity Arc
    • Traversing the Quadrant
  • Methods
    • Sun Calculations
    • Measuring Local Latitude
    • Measuring Sun Altitude
    • Calculating Sun Altitude
    • Calculating Sun Declination
    • Solar Time
    • Determining Time
    • Sun Compass
    • Equatorial Sundial
    • Determining Sunlight Hours
  • The Sine Quadrant
  • Introduction
  • Tools
    • Device Overview: Sine Quadrant
    • The Main Scales
  • Principles
    • Cases of Cursor Readings
  • Functions
    • Moving the String
    • Basic Equations
  • Methods
    • Finding Sine and Cosine
    • Great Circle Calculations
    • Determining Sunrise Bearing
    • The Hour Angle
    • Sun Azimuth from Hour Angle
    • Sun Azimuth from Sun Altitude
    • Latitude from Sun Altitude
  • Appendix
  • Metrology
    • Uncertainty
    • Accuracy vs. Precision
    • False Precision
    • Accuracy Determinations
    • Precision of the Quadrant Telemeter
    • Calculating Scale Accuracy
    • Calibration
  • Making Of
    • Toolmaking
    • Engravings
    • Materials
    • Brass Instrument Care
  • Reference
    • Trigonometry
    • Spherical Trigonometry
    • Museum/Archival Description
    • Moon Heuristics
    • High Precision Calculators
  • Useful Tables
    • Multipliers for a Given Angle
    • Radian in Degrees in MIL in MOA
    • Slope in Degrees
    • Slope in Percent
    • Calculations for 24 x 24 Shadow Square
    • Calculations for 20 x 20 Shadow Square
    • Sun Declination by Day
    • Length Measurement Conversions
  • Indexed Glossary
  • Symbols
  • Bibliography
  • About Wndsn
  • Contact

List of Figures

  1. Telemeter in action
  2. Telemeter setup
  3. Example: Kamal reconstruction
  4. Principle of Kamal graduation
  5. Example nomogram: Smith chart
  6. Slide rule: Pickett N600-ES
  7. Slide rule: Faber Castell 62/83N
  8. Brass Telemeter
  9. Calculating with the nomograph scales
  10. Where to knot the string
  11. Positioning the knots
  12. Device overview: Telemeter
  13. Telemeter sighting
  14. The Telemeter triangle
  15. Using arbitrary units
  16. Extending the scales
  17. Halving the distance
  18. The Chinese Abacus
  19. Wndsn string theory
  20. Measuring from eye level
  21. Bracketing a measurement
  22. Operation
  23. Simple distance measuring
  24. Long distance measurement target
  25. Cross-check on Google Maps
  26. Known dimension of a structure
  27. Measuring a parallel structure
  28. Google Maps
  29. 45¬į
  30. Laser-engraved acrylic
  31. Thumb as caliper
  32. Using MIL or MOA for small angles
  33. MKS-formula
  34. Measuring the height of a train
  35. Distance of cylindrical objects
  36. Checking the distance with Google Maps
  37. Lunar eclipse on July 27 2018
  38. Measuring time against the stars
  39. Easting via Telemeter
  40. Northing via Telemeter
  41. Magnetic compass triangulation
  42. Gemma Frisius' triangulation
  43. Telemeter trilateration
  44. Two position fixes on a circle
  45. Trilateration targets
  46. Trilateration result
  47. Triangulateration
  48. Resection error margins
  49. Telemeter vs. Quadrant scale
  50. Universal Horary Quadrant
  51. Threading the string through the slot
  52. Device overview: Unequal Hour Quadrant
  53. Highlighting the various scales
  54. Transversal graduations
  55. Quadrant sighting
  56. Projection via gravity
  57. Quadrant and inclinometer operation
  58. Slope, Quadrant, and inclinometer scales
  59. Finding sine
  60. Relationships on the Shadow Square
  61. Sun altitude via LEGO brick
  62. Cheops pyramid height
  63. How to use the Shadow Square
  64. Sighting with the Shadow Square
  65. Finding tangent
  66. Tangent on the slope scale
  67. Elements in slope calculation
  68. Slope in degrees
  69. Slope in percent
  70. Depth of a well via Quadrant
  71. Depth of a well via Telemeter
  72. Measuring from an elevation
  73. Measuring an elevated object
  74. The celestial sphere
  75. Zenith and azimuth
  76. Right ascension
  77. The hour angle
  78. Navigational triangle
  79. Celestial sphere with the nav. triangle
  80. Navigational triangle with formulas
  81. The ecliptic
  82. Solstices and equinoxes
  83. Axial tilt
  84. Sun declination by day
  85. Device overview: Equal Hour Quadrant
  86. Horary and calendar settings
  87. Construction of the obliquity arc
  88. Finding local latitude
  89. Polaris and Southern Cross
  90. Sun altitude via plumb line
  91. Sun altitude via gnomon
  92. Using the obliquity arc
  93. Equation of time
  94. Reading the unequal hours
  95. Reading the equal hours
  96. The Quadrant as a Sun compass
  97. AM and PM setup
  98. Sundial afternoon setup
  99. Using the sundial
  100. Gnomon setup
  101. Determining sunlight hours
  102. Calculating sunlight through the year
  103. Paper Sine Quadrant
  104. Device overview: Sine Quadrant
  105. Unit circle definitions on the Quadrant
  106. Reading degrees from the cursor
  107. Basic Sine Quadrant equations 1
  108. Basic Sine Quadrant equations 2
  109. Finding sine with the Sine Quadrant
  110. Great circle calculation
  111. Stages of twilight
  112. Determine sunrise bearing
  113. Hour angle and half-arc of daylight
  114. Sun azimuth from Sun altitude
  115. North and south from Sun azimuth
  116. The Indian Circle
  117. Local latitude from Sun altitude
  118. Accuracy: trueness and precision
  119. Sample measurement uncertainty
  120. Calibrating device resolution
  121. Wndsn fecit
  122. Wndsn single-line fonts
  123. Voyager 'Golden Record'
  124. Engraved instructions
  125. The "greedy" algorithm
  126. Brass patina
  127. Unit circle
  128. Spherical triangle
  129. Moon clock

List of Tables

  1. Scale configuration
  2. Unitless example
  3. Max. angular subtension
  4. Sexagesimal fractions
  5. Comparison of coordinate systems
  6. Sun declination via longitude
  7. Sun declination by month
  8. Equation of time
  9. Precision of the scales
  10. Sample device uncertainty margins
  11. Sample measurement uncertainty
  12. Sample device resolution
  13. Moon heuristics
  14. Multipliers for a given angle
  15. Radians in degrees in MIL in MOA
  16. Slope in percent, degrees, and fractions
  17. Slope in degrees and percent
  18. Calculations for 24 x 24 Shadow Square
  19. Calculations for 20 x 20 Shadow Square
  20. Sun declination by day (JAN-JUN)
  21. Sun declination by day (JUL-DEC)
  22. Length measurement conversions

List of Equations

  1. Distance from angular size
  2. MKS-formula
  3. Distance from Umbra Recta
  4. Height from Umbra Versa
  5. Shadow length from Sun altitude
  6. Sun altitude from shadow length
  7. Hour angle via Sun azimuth
  8. Declination via Sun azimuth
  9. Sun azimuth via hour angle
  10. Sun altitude via hour angle
  11. Obliquity of the ecliptic
  12. Sun declination via longitude
  13. Time from Sun altitude
  14. Sun altitude at noon
  15. Solar zenith angle
  16. Sun declination from Sun altitude
  17. Equation of Time
  18. Great circle bearing
  19. Bearing (or amplitude) of rising Sun
  20. Azimuth of rising Sun
  21. Hour angle of sunrise from latitude
  22. Hour angle via Sun altitude
  23. Hour angle via Sun azimuth
  24. Sun altitude from hour angle
  25. Sun azimuth for a given hour
  26. Sun azimuth from hour angle
  27. Sun azimuth from altitude
  28. Latitude from Sun altitude
  29. Uncertainty
  30. Device accuracy
  31. Unit circle definitions
  32. Trigonometric identities
  33. Law of sines
  34. Spherical right-angled triangle identities
  35. Spherical law of sines
  36. Spherical cosines law for sides
  37. Spherical cosines law for angles
  38. Spherical sine-cosine law
  39. Slope in degrees
  40. Slope in percent

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