Petrie, William M. Flinders: Researches on the great pyramid, or fresh connections, being a preliminary notice of some facts and a fuller statement (London, 1874)

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and other portions, and many perhaps or most of the examples have yet to be shewn ;
but the following cases will probably be sufficient to establish the general idea and
characteristics of this system.

References previously recognized have been incorporated with the following (and
marked*) as in many cases they were requisite to complete the system of references,
or to confirm those which otherwise would appear weak or without foundation.

The coffer has been touched upon but slightly, and the corner sockets and Azi-
muth Trenches are not noticed here, partly because of their references apparently
requiring a rather different treatment, and partly because they have not yet been
examined as fully as is necessary for this purpose.

All the dimensions in the Great Pyramid used here and elsewhere, are strictly
unbiassed. Each dimension stated, as the fact, is the weighted mean of the best
actual measurements known, or of the necessary consequences of other measurements
(as in the diagonals) where there is a clear mathematical connection, and where direct
measures are not feasible.

The dimensions were settled in this way, without having any theoretic results in
mind, as these might cause even an involuntary tendency to accommodate the facts.

Theory is only used to give precision where the agreement is far within the small
uncertainties of measurement, the theory being also shewn by other evidence to have
been clearly intentional in the original designing of the structure,

W. M. Flinders Pétrie,

June, 1872.

This paper is now published from the copy privately forwarded to Prof. Smyth at
the above date, though the facts were known some time before. The only alterations
since made, have been a few words in the preceding portion, to explain more clearly the
ideas put forward, in which I as yet should make no distinct difference ; in fact the
remarks on the Queen's Chamber have been strikingly borne out by subsequent dis-
coveries. Also in the succeeding portion, a few facts that I subsequently observed, and
that seemed important for the subject, have been inserted, and all these are extra num-
bered (e.g. la, 4a, 16a, 33a, in the Queen's Chamber) so as to be easily distinguishable.

W. M. F. P.

April, 1874.