demonstrateth some Geometricall purpose, as +EVCLIDES
ELEMENTES+.

+%The vse% whereof, is either,+

In thinges Supernaturall, aeternall, & Diuine: By Application,
_Ascending_.
In thinges Mathematicall: without farther Application.
In thinges Naturall: both Substantiall, & Accidentall, Visible,
& Inuisible. &c. By Application: _Descending_.

The like Vses and Applications are, (though in a degree lower) in
the +Artes Mathematicall Deriuatiue+.

+%Deriuatiue% from the Principalls: of which, some haue+

+%The names of% the Principalls: as,+

+_Arithmetike_, vulgar: which considereth+

--Arithmetike of most vsuall whole numbers: And of Fractions to
them appertaining.
--Arithmetike of Proportions.
--Arithmetike Circular.
--Arithmetike of Radicall Numbers: Simple, Compound, Mixt: And
of
their Fractions.
--Arithmetike of Cossike Numbers: with their Fractions: And the
great Arte of Algiebar.

+_Geometrie_, vulgar: which teacheth Measuring+

+%At hand%+

All Lengthes.--+Mecometrie.+
All Plaines: As, Land, Borde, Glasse, &c.--+Embadometrie.+
All Solids: As, Timber, Stone, Vessels, &c.--+Stereometrie.+

+%With distance%+ from the thing Measured, as,

+%How farre%+, from the Measurer, any thing is: of him
sene, on Land or Water: called +Apomecometrie+.
+%How high or deepe%+, from the leuell of the Measurers
standing, any thing is: Seene of hym, on Land or Water:
called +Hypsometrie+.
+%How broad%+, a thing is, which is in the Measurers view:
so it be situated on Land or Water: called
+Platometrie+.

+%Of which% are growen the Feates & Artes of+

+Geodesie+: more cunningly to Measure and Suruey Landes,
Woods, Waters. &c.
+Geographie.+
+Chorographie.+
+Hydrographie.+
+Stratarithmetrie.+

+%Propre names% as+,

+Perspectiue,+--Which demonstrateth the maners and properties
of all Radiations: Directe, Broken, and Reflected.

+Astronomie,+--Which demonstrateth the Distances, Magnitudes,
and all Naturall motions, Apparences, and Passions, proper to
the Planets and fixed Starres: for any time, past, present, and
to come: in respecte o