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<p>p. 151<lb/> | |||
247</p> | |||
<p>The<lb/> | |||
three<lb/> | |||
sides<lb/> | |||
of a<lb/> | |||
triangle,<lb/> | |||
are<lb/> | |||
in the<lb/> | |||
same<lb/> | |||
<sic>plain</sic></p><pb/> | |||
<p>p. 151<lb/> | |||
248</p> | |||
<p>Corollary.<lb/> | |||
A<lb/> | |||
<sic>plain</sic><lb/> | |||
will<lb/> | |||
pass<lb/> | |||
through<lb/> | |||
any<lb/> | |||
two<lb/> | |||
<sic>strait</sic><lb/> | |||
lines<lb/> | |||
which<lb/> | |||
meet<lb/> | |||
each<lb/> | |||
other.</p><pb/> | |||
<p>p. 152<lb/> | |||
249</p> | |||
<p>The<lb/> | |||
common<lb/> | |||
section<lb/> | |||
of<lb/> | |||
two<lb/> | |||
<sic>plains</sic><lb/> | |||
is a<lb/> | |||
<sic>strait</sic><lb/> | |||
line.</p><pb/> | |||
<p>p. 153<lb/> | |||
250</p> | |||
<p>If a<lb/> | |||
<sic>strait</sic><lb/> | |||
line<lb/> | |||
stands<lb/> | |||
at right<lb/> | |||
angles<lb/> | |||
to<lb/> | |||
two<lb/> | |||
<sic>strait</sic><lb/> | |||
lines<lb/> | |||
cutting<lb/> | |||
one<lb/> | |||
another,<lb/> | |||
at the<lb/> | |||
point<lb/> | |||
of section,<lb/> | |||
it will<lb/> | |||
be perpendicular<lb/> | |||
to the<lb/> | |||
<sic>plain</sic><lb/> | |||
in which<lb/> | |||
those<lb/> | |||
lines<lb/> | |||
are<lb/> | |||
situate.</p><pb/> | |||
<p>p. 155<lb/> | |||
251</p> | |||
<p>If a<lb/> | |||
<sic>strait</sic><lb/> | |||
line<lb/> | |||
stands<lb/> | |||
at right<lb/> | |||
angles<lb/> | |||
to three<lb/> | |||
<sic>strait</sic><lb/> | |||
lines<lb/> | |||
meeting<lb/> | |||
one<lb/> | |||
another<lb/> | |||
in<lb/> | |||
their<lb/> | |||
common<lb/> | |||
section,<lb/> | |||
those<lb/> | |||
three<lb/> | |||
lines<lb/> | |||
are<lb/> | |||
in<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic></p><pb/> | |||
<p>p 156<lb/> | |||
252</p> | |||
<p>Two<lb/> | |||
<sic>strait</sic><lb/> | |||
lines<lb/> | |||
perpendicular<lb/> | |||
to<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic><lb/> | |||
are<lb/> | |||
parallels.</p><pb/> | |||
<p>p 157<lb/> | |||
253</p> | |||
<p>If<lb/> | |||
two<lb/> | |||
<sic>strait</sic><lb/> | |||
lines<lb/> | |||
be<lb/> | |||
parallel,<lb/> | |||
and<lb/> | |||
one<lb/> | |||
of<lb/> | |||
them<lb/> | |||
stands<lb/> | |||
at<lb/> | |||
right<lb/> | |||
angles<lb/> | |||
to a<lb/> | |||
<sic>plain</sic>,<lb/> | |||
the<lb/> | |||
other<lb/> | |||
will<lb/> | |||
also<lb/> | |||
stand<lb/> | |||
at<lb/> | |||
right<lb/> | |||
angles<lb/> | |||
to<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic></p><pb/> | |||
<p>p. 159<lb/> | |||
254</p> | |||
<p>Lines<lb/> | |||
which<lb/> | |||
are<lb/> | |||
parallel<lb/> | |||
to the<lb/> | |||
same<lb/> | |||
line,<lb/> | |||
tho'<lb/> | |||
not<lb/> | |||
in<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic><lb/> | |||
with<lb/> | |||
it,<lb/> | |||
are<lb/> | |||
yet<lb/> | |||
parallel<lb/> | |||
to<lb/> | |||
one<lb/> | |||
another.</p><pb/> | |||
<p>p. 160<lb/> | |||
255</p> | |||
<p>If<lb/> | |||
two<lb/> | |||
lines<lb/> | |||
meeting<lb/> | |||
each<lb/> | |||
other,<lb/> | |||
be<lb/> | |||
parallel<lb/> | |||
to<lb/> | |||
two<lb/> | |||
lines<lb/> | |||
meeting<lb/> | |||
each<lb/> | |||
other,<lb/> | |||
tho'<lb/> | |||
not<lb/> | |||
in<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic>,<lb/> | |||
yet<lb/> | |||
those<lb/> | |||
lines<lb/> | |||
will<lb/> | |||
contain<lb/> | |||
equal<lb/> | |||
angles</p><pb/> | |||
<p>p. 161<lb/> | |||
256</p> | |||
<p><sic>Plains</sic><lb/> | |||
to<lb/> | |||
which<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>strait</sic><lb/> | |||
line<lb/> | |||
is<lb/> | |||
perpendicular<lb/> | |||
are<lb/> | |||
parallel<lb/> | |||
to<lb/> | |||
one<lb/> | |||
another.</p><pb/> | |||
<p>p. 162<lb/> | |||
257</p> | |||
<p>If<lb/> | |||
two<lb/> | |||
lines<lb/> | |||
meeting<lb/> | |||
each<lb/> | |||
other,<lb/> | |||
be<lb/> | |||
parallel<lb/> | |||
to<lb/> | |||
two<lb/> | |||
other<lb/> | |||
lines<lb/> | |||
meeting<lb/> | |||
each<lb/> | |||
other,<lb/> | |||
but<lb/> | |||
not<lb/> | |||
in<lb/> | |||
the<lb/> | |||
same<lb/> | |||
<sic>plain</sic>,<lb/> | |||
the<lb/> | |||
<sic>plains</sic><lb/> | |||
which<lb/> | |||
pass<lb/> | |||
through<lb/> | |||
them<lb/> | |||
will<lb/> | |||
be<lb/> | |||
parallel.</p><pb/> | |||
p. 151
247
The
three
sides
of a
triangle,
are
in the
same
plain
---page break---
p. 151
248
Corollary.
A
plain
will
pass
through
any
two
strait
lines
which
meet
each
other.
---page break---
p. 152
249
The
common
section
of
two
plains
is a
strait
line.
---page break---
p. 153
250
If a
strait
line
stands
at right
angles
to
two
strait
lines
cutting
one
another,
at the
point
of section,
it will
be perpendicular
to the
plain
in which
those
lines
are
situate.
---page break---
p. 155
251
If a
strait
line
stands
at right
angles
to three
strait
lines
meeting
one
another
in
their
common
section,
those
three
lines
are
in
the
same
plain
---page break---
p 156
252
Two
strait
lines
perpendicular
to
the
same
plain
are
parallels.
---page break---
p 157
253
If
two
strait
lines
be
parallel,
and
one
of
them
stands
at
right
angles
to a
plain,
the
other
will
also
stand
at
right
angles
to
the
same
plain
---page break---
p. 159
254
Lines
which
are
parallel
to the
same
line,
tho'
not
in
the
same
plain
with
it,
are
yet
parallel
to
one
another.
---page break---
p. 160
255
If
two
lines
meeting
each
other,
be
parallel
to
two
lines
meeting
each
other,
tho'
not
in
the
same
plain,
yet
those
lines
will
contain
equal
angles
---page break---
p. 161
256
Plains
to
which
the
same
strait
line
is
perpendicular
are
parallel
to
one
another.
---page break---
p. 162
257
If
two
lines
meeting
each
other,
be
parallel
to
two
other
lines
meeting
each
other,
but
not
in
the
same
plain,
the
plains
which
pass
through
them
will
be
parallel.
---page break---
Identifier: | JB/135/082/002"JB/" can not be assigned to a declared number type with value 135. |
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135 |
posology |
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082 |
ii geometry |
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002 |
corollaries |
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copy/fair copy sheet |
3 |
||
recto |
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46200 |
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