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"I wonder if anyone can tell me if a digitised copy, for downloading,
is
available of the following book- "

Yes, but.

Mayer's "Tabulae motuum solis..." is available for download, but it is
included in a proprietary data base.

The description below is from Gale's web site:



"Gale's Eighteenth Century Collections Online (ECCO) is a hugely
impressive digitisation project covering almost all of the significant
works from the eighteenth century printed in the UK - 150,000 titles
in all. Gale has converted its microfilm collection, The Eighteenth
Century Collection, filmed from the holdings of the British Library
and a number of other major UK and US research libraries, into 33
million images of original pages which can be viewed and searched via
a web-based platform. The digitisation process has been conducted
primarily by teams of indexers and metadata creators in India and
Farmington, Michigan, working at a rate of 300,000 pages per week.
Gale has refined its digitisation processes through The Times Digital
Archive project covering 200 years of The Times newspaper, which is
now near completion. To date 15% of the eventual ECCO database has
been completed and launched, covering History and Geography."



I have to admit, what they say is true, it's a very impressive
resource.

In the US (well at least in Virginia) we have some fine state
universities that subscribe to this service.  The libraries on campus
at some these universities are open to the public and provide on site
access to the database.

I have found this to be a good source for many navigation related
texts.

The following 11 by Maskelyne and 3 by Mayer are included.


Maskelyne, Nevil, Astronomer Royal. A proposal for measuring the
attraction of some hill in this Kingdom by astronomical observations.
By the Rev. Nevil Maskelyne, ...

Maskelyne, Nevil, Astronomer Royal. An account of observations made on
the mountain Schehallien.

Maskelyne, Nevil, Astronomer Royal. An answer to a pamphlet entitled
"A narrative of facts," lately published by Mr. Thomas Mudge, junior,
relating to some timekeepers constructed by his father Mr. Thomas
Mudge; ... By Nevil Maskelyne, ...

Maskelyne, Nevil, Astronomer Royal. Astronomical observations made at
the island of Barbados; at Willonghby Fort; ... By the Rev. Nevil
Maskelyne, ...

Maskelyne, Nevil, Astronomer Royal. Astronomical observations made at
the island of St. Helena, by the Rev. Nevil Maskelyne, ...

Maskelyne, Nevil, Astronomer Royal. Concise rules for computing the
effects of refraction and parallax in varying the apparent distance of
the moon from the sun or a star; ...

Maskelyne, Nevil, Astronomer Royal. M. de Luc's rule for measuring
heights by the barometer, reduced to the English measure of
length, ... By the Astronomer Royal. ...

Maskelyne, Nevil, Astronomer Royal. Observations of the transit of
Venus over the sun, and the eclipse of the sun, on June III, MDCCLXIX.
made at the Royal Observatory.  By the Rev. Nevil Maskelyne, ...

Maskelyne, Nevil, Astronomer Royal. Remarks on the Hadley's quadrant,
tending principally to remove the difficulties which have hitherto
attended the use of the back-observation ...

Maskelyne, Nevil, Astronomer Royal. Some remarks upon the equation of
time, and the true manner of computing it.  By the Rev. Nevil
Maskelyne.

Maskelyne, Nevil, Astronomer Royal. The original observations of the
going of the watch from day to day.



Mayer, Tobais.  Mayer's lunar tables improved by Mr. Charles Mason.
Published by order of the Commissioners of Longitude.

Mayer, Tobias.  Tabulae motuum solis et lunae novae et correctae;
auctore Tobia Mayer: quibus accedit Methodus longitudinum promota,
eodem acutore. Editae jussu Praefectorum Rei Longitudinariae.

Mayer, Tobias.  Theoria lunae juxta systema Newtonianum. Auctore Tobia
Mayer. Edita jussu Praefectorum Rei Longitudinariae.


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