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# JB/135/081/002

Completed

No 125. p.67

p.67
125

A
strait
line
that
joins
any
two
points
in the
circumference
of a
circle
will
fall
with
in the
circle

---page break---

p.68
126

A
line
drawn
from
the
centre
of
a circle,
to
the
middle
of a
line
terminated
by the
circumference
will
meet
the
same
at
right
angles.

---page break---

p 69
127

A
line
drawn
from
the
centre
of
a circle
at
right
angles
to a
line
terminated
by
the
circumference
will
divide
it
equally

---page break---

P.70
128

If
a
line
terminated
by a
circle
is divided
equally
by a
line
cutting
it at
right
angles
the
cutting
line
will
pass
through
the
centre
of
the
circle.

---page break---

p 71
129

If
from
a
certain
point
within
a
circle
three
equal
strait
lines
be
drawn
to the
circumference
that
point
is the
center
of the
circle.

---page break---

p 72
130

In
a
circle
equal
strait
lines
terminated
by
the
circumference
are
equally
distant
from
the
center

---page break---

p 73
131

In
a
circle
strait
lines
equally
distant
from
the
centre,
&
terminated
by
the
circumference,
are
equal
to one
another.

p 74
132

In
circles
the
greatest
line
is a
diameter,
and of
other
lines
the
nearer
to
the
centre
is
the
greater,

---page break---

p 75
133

Of
strait
lines
drawn
from
the
same
point
to the
circumference
of a
circle,
the
greatest
is
that
passing
through
its
centre,
&
the
least
falls
in the
opposite
point <lb/to the
greatest.

---page break---

p76
134

Only
two
equal
lines
can
be
drawn
to the
circumference
of a
circle,
from
any
point
which
is not
its
center

---page break---

p76
135

Corollary.
One
circle
can
cut
another
in
two
points
only

---page break---

p77
136

If
two
circles
touch
one
another,
a
strait
line
joining
their
centers
will
fall
in the
point
of
contact

---page break---

p 78
136

Case
2.
When
the
circles
touch
inwardly
a
strait
line
joining
their
centers
will
fall
in the
point
of
contact

---page break---

p78
137

Corollary.
One
circle
can
touch
another
in
one
point
only

---page break---

p79
138

A
strait
line
drawn
at
right
angles
to the
extremity
of a
diameter,
is a
tangent
to the
circle.

---page break---

p79
139

Corollary
A
strait
line
can
touch
a
circle
in
one
point
only

---page break---

p 80
140

A
line
drawn
from
the
centre
of
a
circle
to the
point
of
contact
will
be
perpendicular
to the
tangent

---page break---

p81
141

A
line
drawn
at
right
angles
to a
tangent
at
the
point
of
contact
will
pass
thro'
the
centre
of
the
circle

---page break---

p82
142

An
angle
at the
centre
of
a
circle
is
double
to
an
angle
at the
circumference
standing
upon
the
same
arch

---page break---

p. 83
143

All
angles
in
the
same
segment
of a
circle
are
equal
to
one
another

---page break---

p. 84
144

The
opposite
angles
of
any
inserited
in
a circle,
are
equal
to two
right
angles.

---page break---

p 85
145

Corrolarly
If any
side of
inserited
in
a circle
is produced
the
outward
angles
will
be equal
to the
inward
and
opposite
angles.

---page break---

p 85
146

Corollary
If two
opposite
angles
of a
taken
together
be equal
to two
right
angles
a circle
may
be
circumscribed
the
figure.

Identifier: | JB/135/081/002
"JB/" can not be assigned to a declared number type with value 135.

135

posology

081

geometry i

002

no. 125 p. 67

copy/fair copy sheet

3

recto

46199