Illustrating Time's Shadow              
Supplemental Shadows             

ISBN   978-0-9960026-1-5                
Library of Congress Control Number: 2014904840             
is here in ZIP form           
or in
PDF form here          

The supplement is a collection of well written articles that could be in the book, could be in
the appendices, but are really somewhere in between, This small book has more obtuse
things inside. You can download Supplemental Shadows for

June 12, 2018

The supplements have notes on different kinds of time, more on dial furniture including altitude and azimuth. Also scratch, mass, and
Saxon dials. The three kinds of declination. Two separate interesting insightful derivations of the vertical decliner formula. Notes on the
"old Wives Trick"
, and their own small appendix (just as the big book has). Also DeltaCAD macros for azimuth, altitude, and for Islamic
ASR1 and ASR2 as well as Excel sheets for ASR1 and 2, and so on. Nomograms are explained in more detail than in the big book, and
additional information on drafting declination or calendar curves manually also.
book 3 chapters front cover
book 3 chapters themselves
book 3 chapters rear cover

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
appendices and the
front and back cover FREE
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
A lot more on
programming more languages in the context of
sundials. Programming Shadows is about
400 pages, FREE
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
supplements are well written articles in one book that
enhance the main book, about
140 pages, FREE
To re-download the main book,
use the userid and password you
got when you bought book 1 or
email me if they are expired.
To download the
Appendices,  or
Programming Shadows,  no
userid or password is
needed, they are

Supplemental Shadows
can be downloaded for
PAGE   2        Kinds of Time, LAT, local mean time, standard mean time
PAGE   8        Dial furniture in context (has some parts of the main book)
PAGE  28        ~ ~ Italian Hour Lines in a bit more detail
PAGE  30        ~ ~ Islamic prayer times and sundials
PAGE  42        Scratch or mass dials, Saxon dials also
PAGE  52        ~ ~ Fun with scratch dials
PAGE  56        Declination confusion, magnetic, wall, and solar
PAGE  59        The Old Wives Trick is a technique some people use to make a store bought sundial work.
 This article explains where it does and does not work.
PAGE  64        An alternative proof for the vertical declining dial which uses SD, SH, and DL. In using
 SH it thus uses the 15 degree radials of an equatorial dial forming a horizontal dial (yes)
 on that vertical declining surface, as opposed to the method which uses a surrogate
 horizontal dial on a horizontal surface. NOTE: The equatorial radial directly used is
 for the “DL” figure, and the other equatorial dial radials are used indirectly in the form
 of a horizontal (yes, not vertical) dial slapped onto the vertical declining surface or wall.
PAGE  75        An alternative proof for the vertical declining dial which uses a surrogate horizontal
 dial on a horizontal surface. This proof is also contained in the main appendices, but
 repeated here for consistency.
PAGE  80        Nomograms in much more detail than in Illustrating Time’s Shadow
PAGE 111        Comparing CAD systems
PAGE 113        A 3D printer produced sundial
PAGE 121        Formula development:-   SIN, COS, TAN, ASN, ACS, ATAN, and SQRT for a Pascal variant
 that has no such functions, such as Powerdraw
PAGE 131        Fun with wide gnomons, and double S curve analemmas
PAGE 136        APPENDICES ~ Nomograms and Tables for SD, SH, and DL and useful resources and references
Illustrating Time's Shadow ~ supplemental book  or book and related stuff in a zip file