Harriot, Thomas - Mss. 6785

701351

The 6 sides of a
pyramis being geven
to find the

The sides
b, c, d, f, g,

I would have the
solidity geven without
the table of sines.
or
in specie of
the sides only
if it may
as the superficies
of a

As the superficies of a triangle is had argued by a circle inscribed, two sides
produced, & like triangles: In like manner remember to try to argue
the solidity of a pyramis, by a sphære inscribed, three planes produced &
like Now followeth the way by the perpendicular

If the vertex of a triangular pyramis to the base be understood
a perpendicular falling, & from the end or poynt in the base
be drawne perpendiculars to the sides of the triangles of
the

pappus
lib.6.
pr.

Then if from the vertex be drawne lines to the sayd poyntes
in the triangular base; where those lines shalbe also

Let two perpendiculars be drawne aθ and αx
& suppose the perpendicular from the vertex to the playne of
the base be

Then Drawe the lines θε, εx,

θδ & δθ with the anlge θδx are knowne,
therefore θx with his angle adjacent are also
Therefore in the triangle θxε, besides the side θx the two angles
adiacent are also knowne. therefore also the sides θε and

Then in the triangle αxε having αεx a right angle; & the
two sides εx & xα being knowne, αε cannot be
And therefore the solidity of the pyramis wilbe also

631 (316)	632 (316v)
633 (317)	634 (317v)
635 (318)	636 (318v)
637 (319)	638 (319v)
639 (320)	640 (320v)

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