★ Keep up to date with the latest news  subscribe to the Transcribe Bentham newsletter; Find a new page to transcribe in our list of Untranscribed Manuscripts
p 178
273
Prisms
and
cylinders
are
equal,
whose
bases
and
altitudes
are
reciprocally
proportional.
p. 179
274
Every
pyramid
that
has
a
triangular
base
is a
third
part
of a
prism
having
the
same
base
and
altitude
p 180
275
Every
pyramid
is a
third
part
of a
prism,
having
the
same
base
and
altitude.
p. 181
276
Every
cone
is a
third
part
of a
cylinder,
having
the
same
base
and
altitude.
p. 182
277
Pyramids
and
cones
upon
equal
bases
are
proportional
to
their
altitudes
p 183
278
Pyramids
and
cones
of
equal
altitude,
are
proportional
to
their
bases
p. 183
279
Corollary.
Pyramids
and
cones
are
equal,
whose
bases
and
altitudes
are
reciprocally
proportional.
p. 184
280
A
hemisphere
is
two
thirds
of its
circumscribing
cylinder.
p 185
281
Corollary.
A
cone,
globe,
and
cylinder
circumscribing
them,
are
proportional
to
the
numbers
1, 2, 3
p 185
282
Corollary.
A
globe
is
four
times
a
cone,
whose
base
is
its
great
circle,
and
altitude
its
semidiameter
p. 186
283
The
surface
of a
globe
is
four
times
the
area
of
its
great
circle.
p 187
284
The
surfaces
of
similar
prisms
are
proportional
to
the
squares
of
their
corresponding
lines.
p 187
285
Corollary.
The
surfaces
of all
similar
solids
are
as
the
squares
of
their
corresponding
lines,
being
composed
of equal
numbers,
of similar
parts
p. 188
286
If
strait
lines
are
proportional,
their
cubes
will
also
be
proportional
p. 189
287
Similar
prisms
are
proportional
to
the
cubes
of
their
corresponding
lines.
p. 190
288
Corollaries—.
Similar
cylinders
are
proportional
to
the
cubes
of
their
axes,
or
diameters
of
their
bases
being
of the
same
magnitude
with
prisms
of equal
base
and
altitude.
p 190
289
Similar
pyramids
and
cones
are
proportional
to
the
cubes
of
their
corresponding
lines,
being
one
third
of
prisms,
or
cylinders,
that
have
equal
bases
&
altitudes
p. 190
290
The
surfaces
of
globes
are
proportional
to
the
squares
of
their
diameters;
being
four
times
the
areas
of
their
great
circles.
p 190
291
The
magnitudes
of
globes
are
proportional
to
the
cubes
of
their
diameters;
being
two
thirds
of
their
circumscribing
cylinders.
p 190
292
All
similar
solids
are
as
the
cubes
of
their
corresponding
lines,
because
they
are
composed
of
equal
numbers
of
similar
parts
292
247
45
Identifier:  JB/135/082/003 "JB/" can not be assigned to a declared number type with value 135.



135 
posology 

082 
ii geometry 

003 
corollaries 

copy/fair copy sheet 
3 

recto 

46200 
