Some nomograms for sundials use a logarithmic portrayal because the

nomogram is often an additive device, and multiplication is done by adding

logarithms. However, some nomograms use division directly (N or Z) and some

use multiplication directly (circular), so, there is variety. Here are several types:-

type 1 | | | additive nomogram C = L + R must use logs for * and /

type 2 | \ | dividing nomogram C = L / R no logs for division

type 3 ( | ) multiplying nomogram C = L * R no logs for multiplying

type 4 \ /_ adds reciprocals 1/C = 1/L + 1/R

For those who wish to design nomograms and understand them in more detail,

and sundial plates using nomograms, here are some highly detailed notes on

doing it for those who have the big book . The process for the horizontal dial is

shown, the vertical dial being the same but co-latitude, which is also shown.

Further, the DeltaCAD macro: nomogram.bas builds vertical and horizontal

dials, but since DeltaCAD (as I have it) only does natural logs as opposed to

base 10, these macros use Napierian logs.

nomogram is often an additive device, and multiplication is done by adding

logarithms. However, some nomograms use division directly (N or Z) and some

use multiplication directly (circular), so, there is variety. Here are several types:-

type 1 | | | additive nomogram C = L + R must use logs for * and /

type 2 | \ | dividing nomogram C = L / R no logs for division

type 3 ( | ) multiplying nomogram C = L * R no logs for multiplying

type 4 \ /_ adds reciprocals 1/C = 1/L + 1/R

For those who wish to design nomograms and understand them in more detail,

and sundial plates using nomograms, here are some highly detailed notes on

doing it for those who have the big book . The process for the horizontal dial is

shown, the vertical dial being the same but co-latitude, which is also shown.

Further, the DeltaCAD macro: nomogram.bas builds vertical and horizontal

dials, but since DeltaCAD (as I have it) only does natural logs as opposed to

base 10, these macros use Napierian logs.

All nomogram files in one ZIP

file, includes the notes,

DeltaCAD maco, and the

Lazarus/Pascal source and

executable, test skeleton

programs, and more.

file, includes the notes,

DeltaCAD maco, and the

Lazarus/Pascal source and

executable, test skeleton

programs, and more.

type 3 |

type 2 |

type 1 |

DeltaCAD macro is a complete v and h dial, a sunrise/set, a polar/meridian

dial with calendar data nomogram (both the three vertical line as well as the N

or Z nomogram), and a vertical decliners SD, SH, and DL with the v-dec hour

lines worked using SH and DL. The DL macro choice has two variations, the

second showing the use of differing line separations (xL, xC, xR) and the

modulus (scale) of the right line (mR) which you may change. Also has the

analemmatic dial nomogram. Does nomograms type 1,2, and 3.

Lazarus/Pascal code for the h, v, m/p, v-dec dials, and sunrise/set times all in

one ZIP file. Does nomograms type 1, 2, and 3. In essence, everything the

DeltaCAD macro does**except **exporting the images, which needs a screen

screen capture program such as this (I have NOT used it, I use PhotoMax Pro).

Printed nomograms from both DeltaCAD and Lazarus/Pascal are in PDF form.

The nomograms are also in the free appendices. This book of printed

nomograms may be lower quality print than if you run the DeltaCAD or the

Lazarus based program, which you are encouraged to do. the appendices

however have very high quality nomograms.

**NOTE:**** Chapter 32 in Illustrating Time's Shadow covers more detail, **

however, the most detail is in Supplemental Shadows and takes some

30 pages, and supplement chapter 32, and go into more detail on line

separation, modulus (line scaling), and details on where "0" is on the

three common nomogram types. The free appendices to Illustrating

Time's Shadow have the nomograms in appropriate sections, and the

formula appendix also has a short summary of the three nomogram

types, their formulae supported, and where '0' is, and other issues

with 0.

Documents online for nomogram design are:-

The Art of The Nomogram - read this first

Graphical and Mechanical Computation

Creating nomograms with pynomo software

JAVA online nomogram builder

dial with calendar data nomogram (both the three vertical line as well as the N

or Z nomogram), and a vertical decliners SD, SH, and DL with the v-dec hour

lines worked using SH and DL. The DL macro choice has two variations, the

second showing the use of differing line separations (xL, xC, xR) and the

modulus (scale) of the right line (mR) which you may change. Also has the

analemmatic dial nomogram. Does nomograms type 1,2, and 3.

Lazarus/Pascal code for the h, v, m/p, v-dec dials, and sunrise/set times all in

one ZIP file. Does nomograms type 1, 2, and 3. In essence, everything the

DeltaCAD macro does

screen capture program such as this (I have NOT used it, I use PhotoMax Pro).

Printed nomograms from both DeltaCAD and Lazarus/Pascal are in PDF form.

The nomograms are also in the free appendices. This book of printed

nomograms may be lower quality print than if you run the DeltaCAD or the

Lazarus based program, which you are encouraged to do. the appendices

however have very high quality nomograms.

however, the most detail is in Supplemental Shadows and takes some

30 pages, and supplement chapter 32, and go into more detail on line

separation, modulus (line scaling), and details on where "0" is on the

three common nomogram types. The free appendices to Illustrating

Time's Shadow have the nomograms in appropriate sections, and the

formula appendix also has a short summary of the three nomogram

types, their formulae supported, and where '0' is, and other issues

with 0.

The Art of The Nomogram - read this first

Graphical and Mechanical Computation

Creating nomograms with pynomo software

JAVA online nomogram builder

A nomogram that is not type 1, 2, nor 3. This is a quadrant of an equatorial dial. |

Not really a nomogram, more a teaching aid for correctly drawing some h-dial (and v-dial) hour lines from an equatorial dial. |