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
>
<
pb
xlink:href
="
039/01/123.jpg
"
pagenum
="
95
"/>
<
p
type
="
main
">
<
s
>In conſtructione Corollarii hujus poſtquam ducitur
<
emph
type
="
italics
"/>
LK
<
emph.end
type
="
italics
"/>
ſecans </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
arrow.to.target
n
="
note71
"/>
<
emph
type
="
italics
"/>
CE
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
i,
<
emph.end
type
="
italics
"/>
producere licet
<
emph
type
="
italics
"/>
iE
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
V,
<
emph.end
type
="
italics
"/>
ut ſit
<
emph
type
="
italics
"/>
EV
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Ei
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
FH
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
HI,
<
emph.end
type
="
italics
"/>
<
lb
/>
& agere
<
emph
type
="
italics
"/>
Vf
<
emph.end
type
="
italics
"/>
parallelam ipſi
<
emph
type
="
italics
"/>
BD.
<
emph.end
type
="
italics
"/>
Eodem recidit ſi centro
<
emph
type
="
italics
"/>
i,
<
emph.end
type
="
italics
"/>
in
<
lb
/>
tervallo
<
emph
type
="
italics
"/>
IH,
<
emph.end
type
="
italics
"/>
deſcribatur circulus ſecans
<
emph
type
="
italics
"/>
BD
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
X,
<
emph.end
type
="
italics
"/>
& producatur
<
lb
/>
<
emph
type
="
italics
"/>
iX
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Y,
<
emph.end
type
="
italics
"/>
ut ſit
<
emph
type
="
italics
"/>
iY
<
emph.end
type
="
italics
"/>
æqualis
<
emph
type
="
italics
"/>
IF,
<
emph.end
type
="
italics
"/>
& agatur
<
emph
type
="
italics
"/>
Yf
<
emph.end
type
="
italics
"/>
ipſi
<
emph
type
="
italics
"/>
BD
<
emph.end
type
="
italics
"/>
parallela. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note71
"/>
LIBER
<
lb
/>
PRIMUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Problematis hujus ſolutiones alias
<
emph
type
="
italics
"/>
Wrennus
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
Walliſius
<
emph.end
type
="
italics
"/>
olim ex
<
lb
/>
cogitarunt. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXIX. PROBLEMA XXI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Trajectoriam ſpecie datam deſcribere, quæ a rectis quatuor poſitione
<
lb
/>
datis in partes ſecabitur, ordine, ſpecie & proportione datas.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
figure
id
="
id.039.01.123.1.jpg
"
xlink:href
="
039/01/123/1.jpg
"
number
="
70
"/>
<
p
type
="
main
">
<
s
>Deſcribenda ſit Trajectoria
<
lb
/>
<
figure
id
="
id.039.01.123.2.jpg
"
xlink:href
="
039/01/123/2.jpg
"
number
="
71
"/>
<
lb
/>
<
emph
type
="
italics
"/>
fghi,
<
emph.end
type
="
italics
"/>
quæ ſimilis ſit Lincæ curvæ
<
lb
/>
<
emph
type
="
italics
"/>
FGHI,
<
emph.end
type
="
italics
"/>
& cujus partes
<
emph
type
="
italics
"/>
fg, gh, hi
<
emph.end
type
="
italics
"/>
<
lb
/>
illius partibus
<
emph
type
="
italics
"/>
FG, GH, HI
<
emph.end
type
="
italics
"/>
ſi
<
lb
/>
miles & proportionales, rectis
<
lb
/>
<
emph
type
="
italics
"/>
AB
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
AD, AD
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
BD, BD
<
emph.end
type
="
italics
"/>
<
lb
/>
&
<
emph
type
="
italics
"/>
CE
<
emph.end
type
="
italics
"/>
poſitione datis, prima pri
<
lb
/>
mis, ſecunda ſecundis, tertia ter
<
lb
/>
tiis interjaceant. </
s
>
<
s
>Actis rectis
<
emph
type
="
italics
"/>
FG,
<
lb
/>
GH, HI, FI,
<
emph.end
type
="
italics
"/>
deſcribatur (per
<
lb
/>
Lem. </
s
>
<
s
>XXVII.) Trapezium
<
emph
type
="
italics
"/>
fghi
<
emph.end
type
="
italics
"/>
<
lb
/>
quod ſit Trapezio
<
emph
type
="
italics
"/>
FGHI
<
emph.end
type
="
italics
"/>
ſimile & cujus anguli
<
emph
type
="
italics
"/>
f, g, h, i
<
emph.end
type
="
italics
"/>
tangant
<
lb
/>
rectas illas poſitione datas
<
emph
type
="
italics
"/>
AB, AD, BD, CE,
<
emph.end
type
="
italics
"/>
ſinguli ſingulas
<
lb
/>
dicto ordine. </
s
>
<
s
>Dein circa hoc Trapezium deſcribatur Trajectoria
<
lb
/>
curvæ Lineæ
<
emph
type
="
italics
"/>
FGHI
<
emph.end
type
="
italics
"/>
conſimilis. </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>