Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 524
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
subchap2
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
039/01/120.jpg
"
pagenum
="
92
"/>
<
arrow.to.target
n
="
note68
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note68
"/>
DE MOTU
<
lb
/>
CORPORUM</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
LEMMA XXVII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Trapezium ſpecie datum deſcribere cujus anguli ad rectas quatuor po
<
lb
/>
ſitione datas, quæ neque omnes parallelæ ſunt, neque ad commune
<
lb
/>
punctum convergunt, ſinguli ad ſingulas conſiſtent.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Dentur poſitione rectæ quatuor
<
emph
type
="
italics
"/>
ABC, AD, BD, CE,
<
emph.end
type
="
italics
"/>
qua
<
lb
/>
rum prima ſecet ſecundam in
<
emph
type
="
italics
"/>
A,
<
emph.end
type
="
italics
"/>
tertiam in
<
emph
type
="
italics
"/>
B,
<
emph.end
type
="
italics
"/>
& quartam in
<
emph
type
="
italics
"/>
C:
<
emph.end
type
="
italics
"/>
<
lb
/>
& deſcribendum ſit Trapezium
<
emph
type
="
italics
"/>
fghi
<
emph.end
type
="
italics
"/>
quod ſit Trapezio
<
emph
type
="
italics
"/>
FGHI
<
emph.end
type
="
italics
"/>
<
lb
/>
<
figure
id
="
id.039.01.120.1.jpg
"
xlink:href
="
039/01/120/1.jpg
"
number
="
68
"/>
<
lb
/>
ſimile, & cujus angulus
<
emph
type
="
italics
"/>
f,
<
emph.end
type
="
italics
"/>
angulo dato
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
æqualis, tangat rectam
<
lb
/>
<
emph
type
="
italics
"/>
ABC,
<
emph.end
type
="
italics
"/>
cæterique anguli
<
emph
type
="
italics
"/>
g, h, i,
<
emph.end
type
="
italics
"/>
cæteris angulis datis
<
emph
type
="
italics
"/>
G, H, I
<
emph.end
type
="
italics
"/>
æqua
<
lb
/>
les, tangant cæteras lineas
<
emph
type
="
italics
"/>
AD, BD, CE
<
emph.end
type
="
italics
"/>
reſpective. </
s
>
<
s
>Jungatur
<
lb
/>
<
emph
type
="
italics
"/>
FH
<
emph.end
type
="
italics
"/>
& ſuper
<
emph
type
="
italics
"/>
FG, FH, FI
<
emph.end
type
="
italics
"/>
deſcribantur totidem circulorum ſeg
<
lb
/>
menta
<
emph
type
="
italics
"/>
FSG, FTH, FVI
<
emph.end
type
="
italics
"/>
; quorum primum
<
emph
type
="
italics
"/>
FSG
<
emph.end
type
="
italics
"/>
capiat angu-</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>