The Mathematicall Praeface to Elements of Geometrie of Euclid of MegaraDee, John
Philosophy
The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara
Dee, John
Geometry -- Early works to 1800; Mathematics -- Early works to 1800; Philosophy -- Early works to 1800
+Archemastrie,+--Which teacheth to bring to actuall experience
sensible, all worthy conclusions, by all the Artes Mathematicall
purposed: and by true Naturall philosophie, concluded: And both
addeth to them a farder Scope, in the termes of the same Artes:
and also, by his proper Method, and in peculiar termes,
procedeth, with helpe of the forsayd Artes, to the performance
of complete Experiences: which, of no particular Arte, are hable
(Formally) to be challenged.
+¶ Imprinted by _Iohn Day_.+
An. 1570. Feb. 25.
* * * * *
* * * *
* * * * *
Errors and Anomalies:
Unless otherwise noted, spelling and punctuation are unchanged.
Errors are listed below, with the original form, if changed, shown in
[brackets]. Unusual words include “fatch” (probably used as a variant
of “fetch”) and the mathematical terms “sexagene” and “sexagesme”.
How, worldly goods: how, worldly dignitie
[_“o” in second “worldly” invisible_]
his most diligent hearers (so infinitely mought [hearers) so]
the boundes, and duety of an Hydrographer [Hydographer]
of the Grekes it is called _Eteromekes_
[_text unchanged: correct form is “Heteromekes”_]
τὸ ὁτὶ [_accent unchanged_]
in our worldly affaires [wordly]
fall to worke.❉.
[_Some text readers may not display the oversized-asterisk symbol._]
_Emptying the first._ [Emptyting]
Απὸ τάυτης τῆς ἡμέρας, περὶ παντὸς, Αρχιμήδει λέγοντι πιϛευτεόν
[ἡμήρας ... πιϛευτέομ]
of the suddeyne [snddeyne]
that the right and absolute way may be had [he had]
Georgic I: [_The quoted segments, each ending in “&c.”, are
438-439; 451-457; 463-464._]
Additional Notes:
The Greek letter η (eta) was consistently printed as if it were the
ou-ligature ȣ.
The Latin “-que” was written as an abbreviation resembling “-q´;”.
It is shown here as [que].
Mathematical symbols seen in the section accompanying the diagrams
could not be reproduced. The following substitutions were made:
--The curly “P” used for “Pounds” is shown as {P}.
--The “potestas” symbol, used to represent “x” (the unknown),
is shown as {x}.
--All roots were expressed as the “root” sign √ combined with
symbols for the power of 2 (doubled for power of 4, or fourth root)
and 3. They are shown as ²√ ³√ ⁴√.
Euclid:
The following Propositions were identified by number.
6.12: (How) to find a fourth (line) proportional to three given straight
lines.
11.34: In equal parallelepipedal solids the bases are reciprocally
proportional to the heights; and those parallelepipedal solids in which
the bases are reciprocally proportional to the heights are equal.
11.36: If three straight lines are proportional, then the
parallelepipedal solid formed out of the three equals the
parallelepipedal solid on the mean which is equilateral, but equiangular
with the aforesaid solid.
Public-domain text, read in full here on John Shaqi.
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