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a given<lb/> | a given<lb/> | ||
finite<lb/> | finite<lb/> | ||
strait<lb/> | <sic>strait</sic><lb/> | ||
line<lb/> | line<lb/> | ||
A.B,<lb/> | A.B,<lb/> | ||
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<p>About<lb/> | <p>About<lb/> | ||
the<lb/> | the<lb/> | ||
center<lb/> | <sic>center</sic><lb/> | ||
C, at<lb/> | C, at<lb/> | ||
any<lb/> | any<lb/> |
p 191
Prob. 1
293
Upon
a given
strait
line
A.B,
to
make
an equilateral
triangle.
About
the
center
A
with
the
radius
A
B, describe
the
circle
B.C.D
by
article
60, also
about
the
center
B, with
the
radius
B
A, describe
the
circle
A & C
and
join
A.C,
CB
---page break---
p. 192
Prob. 2
294
From
a given
point
A, to
draw
a line
that
shall
be equal
to a
given
strait
line
B.C.
Join
AB,
and
upon
it
make
the
equilateral
triangle
AB
D, produce
the
sides
DA,
DB,
to E
& F,
about
the
center
B,
with
the
radius
BC,
describe
the
arch
CF,
and
about
the
center
D, with
the radius
DF,
describe
the
arch
F.E.
---page break---
p 193
Pro. 3.
295
Two
unequal
strait
lines
A.B.
and
CD,
being
given
to
take
a part
of the
greater
that
shall
be equal
to the
lesser.
From
the
point
A draw
the
line
AE,
equal
to the
line
C.D,
by
2, and
about
the
center
A, with
the radius
A.E,
describe
a circle
cutting
AB,
in F.
---page break---
P 194
Pro. 4
296
To divide
a given angle
A.B.C
into
two
equal
parts,
or to
bisect
it.
On
the
center
B. at
any
distance
BA
describe
the
arch
AC,
on the
centers
A &
C, with
the
distances
A.B,
C.B,
describe
arches
cutting
each
other
in D,
and
draw
B.D.
---page break---
p. 195
Pro. 5
297
To
divide
a given
finite
strait
line
A.B,
into
two
equal
parts,
or to
bisect
it.
About
the
centers
A &
B, with
any
radius
greater
than
half
the
line,
describe
circles
cutting
one
another
in C
& G,
and
draw
CG,
cutting
AB,
in E.
---page break---
p 196
Pro. 6
298
To erect
a perpendicular
to a
given
strait
line
A.B,
at a
given
point
in it
C.
About
the
center
C, at
any
distance
describe
a circle
cutting
the
given
line
in D
& E,
about
the
centers
D & E,
with
any
radius
greater
than
CD
describe
circles
cutting
in F,
and
draw
C.F.
Otherwise
Above
the
center C
describe
a circle
AD
& B,
on
the
cen-
---page break---
p. 197
Pro. 6
298
center
A
cut
the
circle
in D,
on
the
center
D
describe
the
arch
F.E,
and
on E
cut
that
arch
in F,
all
with
the
same
radius,
and
draw
C.F.
---page break---
p 198
Pro. 7
299
From
a given
point
A, to
let
fall
a perpendicular
upon
an
infinite
strait
line
B.D.
About
the
center
A, describe
a circle
at
pleasure
cutting
the
given
line
in C
& E,
about
the
centers
C & E
with
the
same
radius
describe
circles
cutting
one
another
in
F, &
draw
A.F
cutting
B.D
in G.
+
---page break---
p. 200
Pro. 8
300
To
make
a triangle,
whose
sides
shall
be equal
to three
given
strait
lines
AB,
B.C,
CD;
provided
any
two
of
them
taken
together
be
greater
than
the
third
About
the
center
B, with
the
radius
B.
A, describe
the
circle
A.E.
F, on
the
center
C, with
the
radius
C
G, describe
the
circle
D.G.F
and
draw
BF,
FG.
---page break---
Identifier: | JB/135/083/002"JB/" can not be assigned to a declared number type with value 135. |
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135 |
posology |
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083 |
geometry iii |
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002 |
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copy/fair copy sheet |
3 |
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recto |
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46201 |
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