Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 524
>
Scan
Original
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 524
>
page
|<
<
of 524
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
subchap2
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
039/01/140.jpg
"
pagenum
="
112
"/>
<
arrow.to.target
n
="
note88
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note88
"/>
DE MOTU
<
lb
/>
CORPORUM</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXXIX. PROBLEMA XXVII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Poſita cujuſcunque generis Vi centripeta, & conceſſis figurarum
<
lb
/>
curvilinearum quadraturis, requiritu, corporis recta aſcenden
<
lb
/>
tis vel deſcendentis tum Velocitas in locis ſingulis, tum Tempus
<
lb
/>
quo corpus ad locum quemvis perveniet: Et contra.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>De loco quovis
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
in recta
<
emph
type
="
italics
"/>
ADEC
<
emph.end
type
="
italics
"/>
cadat corpus
<
emph
type
="
italics
"/>
E,
<
emph.end
type
="
italics
"/>
deque loco
<
lb
/>
ejus
<
emph
type
="
italics
"/>
E
<
emph.end
type
="
italics
"/>
erigatur ſemper perpendicularis
<
emph
type
="
italics
"/>
EG,
<
emph.end
type
="
italics
"/>
vi centripetæ in loco
<
lb
/>
illo ad centrum
<
emph
type
="
italics
"/>
C
<
emph.end
type
="
italics
"/>
tendenti proportio
<
lb
/>
<
figure
id
="
id.039.01.140.1.jpg
"
xlink:href
="
039/01/140/1.jpg
"
number
="
88
"/>
<
lb
/>
nalis: Sitque
<
emph
type
="
italics
"/>
BFG
<
emph.end
type
="
italics
"/>
linea curva quam
<
lb
/>
punctum
<
emph
type
="
italics
"/>
G
<
emph.end
type
="
italics
"/>
perpetuo tangit. </
s
>
<
s
>Coinci
<
lb
/>
dat autem
<
emph
type
="
italics
"/>
EG
<
emph.end
type
="
italics
"/>
ipſo motus initio cum
<
lb
/>
perpendiculari
<
emph
type
="
italics
"/>
AB,
<
emph.end
type
="
italics
"/>
& erit corporis Ve
<
lb
/>
locitas in loco quovis
<
emph
type
="
italics
"/>
E
<
emph.end
type
="
italics
"/>
ut areæ cur
<
lb
/>
vilineæ
<
emph
type
="
italics
"/>
ABGE
<
emph.end
type
="
italics
"/>
latus quadratum.
<
lb
/>
<
emph
type
="
italics
"/>
<
expan
abbr
="
q.
">que</
expan
>
E. I.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>In
<
emph
type
="
italics
"/>
EG
<
emph.end
type
="
italics
"/>
capiatur
<
emph
type
="
italics
"/>
EM
<
emph.end
type
="
italics
"/>
lateri quadra
<
lb
/>
to areæ
<
emph
type
="
italics
"/>
ABGE
<
emph.end
type
="
italics
"/>
reciproce proportio
<
lb
/>
nalis, & ſit
<
emph
type
="
italics
"/>
ALM
<
emph.end
type
="
italics
"/>
linea curva quam
<
lb
/>
punctum
<
emph
type
="
italics
"/>
M
<
emph.end
type
="
italics
"/>
perpetuotangit, & erit Tem
<
lb
/>
pus quo corpus cadendo deſcribit li
<
lb
/>
neam
<
emph
type
="
italics
"/>
AE
<
emph.end
type
="
italics
"/>
ut area curvilinea
<
emph
type
="
italics
"/>
ALME.
<
lb
/>
<
expan
abbr
="
q.
">que</
expan
>
E. I.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Etenim in recta
<
emph
type
="
italics
"/>
AE
<
emph.end
type
="
italics
"/>
capiatur linea
<
lb
/>
quam minima
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
datæ longitudinis,
<
lb
/>
ſitque
<
emph
type
="
italics
"/>
DLF
<
emph.end
type
="
italics
"/>
locus lineæ
<
emph
type
="
italics
"/>
EMG
<
emph.end
type
="
italics
"/>
ubi
<
lb
/>
corpus verſabatur in
<
emph
type
="
italics
"/>
D
<
emph.end
type
="
italics
"/>
; & ſi ea ſit vis centripeta, ut areæ
<
emph
type
="
italics
"/>
ABGE
<
emph.end
type
="
italics
"/>
<
lb
/>
latus quadratum ſit ut deſcendentis velocitas, erit area ipſa in du
<
lb
/>
plicata ratione velocitatis, id eſt, ſi pro velocitatibus in
<
emph
type
="
italics
"/>
D
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
E
<
emph.end
type
="
italics
"/>
<
lb
/>
ſcribantur V & V+I, erit area
<
emph
type
="
italics
"/>
ABFD
<
emph.end
type
="
italics
"/>
ut VV, & area
<
emph
type
="
italics
"/>
ABGE
<
emph.end
type
="
italics
"/>
ut
<
lb
/>
VV+2 VI+II, & diviſim area
<
emph
type
="
italics
"/>
DFGE
<
emph.end
type
="
italics
"/>
ut 2 VI+II, adeoque
<
lb
/>
(
<
emph
type
="
italics
"/>
DFGE/DE
<
emph.end
type
="
italics
"/>
) ut (2VI+II/
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
), id eſt, ſi primæ quantitatum naſcentium
<
lb
/>
rationes ſumantur, longitudo
<
emph
type
="
italics
"/>
DF
<
emph.end
type
="
italics
"/>
ut quantitas (2VI/
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
), adeoque e
<
lb
/>
tiam ut quantitatis hujus dimidium (IXV/
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
). Eſt autem tempus quo </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>