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
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
<
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
="
039/01/076.jpg
"
pagenum
="
48
"/>
<
arrow.to.target
n
="
note24
"/>
</
s
>
</
p
>
</
subchap2
>
<
subchap2
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note24
"/>
DE MOTU
<
lb
/>
CORPORUM</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
SECTIO III.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
De motu Corporum in Conicis Sectionibus excentricis.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XI. PROBLEMA VI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Revolvatur corpus in Ellipſi: requiritur Lex vis centripetæ tenden
<
lb
/>
tis ad umbilicum Ellipſeos.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Eſto Ellipſeos umbilicus
<
emph
type
="
italics
"/>
S.
<
emph.end
type
="
italics
"/>
Agatur
<
emph
type
="
italics
"/>
SP
<
emph.end
type
="
italics
"/>
ſecans Ellipſeos
<
lb
/>
tum diametrum
<
emph
type
="
italics
"/>
DK
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
E,
<
emph.end
type
="
italics
"/>
tum ordinatim applicatam
<
emph
type
="
italics
"/>
Qv
<
emph.end
type
="
italics
"/>
in
<
lb
/>
<
emph
type
="
italics
"/>
x,
<
emph.end
type
="
italics
"/>
& compleatur parallelogrammum
<
emph
type
="
italics
"/>
QxPR.
<
emph.end
type
="
italics
"/>
Patet
<
emph
type
="
italics
"/>
EP
<
emph.end
type
="
italics
"/>
æqua
<
lb
/>
lem eſſe ſemiaxi ma
<
lb
/>
<
figure
id
="
id.039.01.076.1.jpg
"
xlink:href
="
039/01/076/1.jpg
"
number
="
21
"/>
<
lb
/>
jori
<
emph
type
="
italics
"/>
AC,
<
emph.end
type
="
italics
"/>
eo quod
<
lb
/>
acta ab altero Ellip
<
lb
/>
ſeos umbilico
<
emph
type
="
italics
"/>
H
<
emph.end
type
="
italics
"/>
li
<
lb
/>
nea
<
emph
type
="
italics
"/>
HI
<
emph.end
type
="
italics
"/>
ipſi
<
emph
type
="
italics
"/>
EC
<
emph.end
type
="
italics
"/>
pa
<
lb
/>
rallela, (ob æquales
<
lb
/>
<
emph
type
="
italics
"/>
CS, CH
<
emph.end
type
="
italics
"/>
) æquentur
<
lb
/>
<
emph
type
="
italics
"/>
ES, EI,
<
emph.end
type
="
italics
"/>
adeo ut
<
emph
type
="
italics
"/>
EP
<
emph.end
type
="
italics
"/>
<
lb
/>
ſemiſumma ſit ipſa
<
lb
/>
rum
<
emph
type
="
italics
"/>
PS, PI,
<
emph.end
type
="
italics
"/>
id eſt
<
lb
/>
(ob parallelas
<
emph
type
="
italics
"/>
HI,
<
lb
/>
PR
<
emph.end
type
="
italics
"/>
& angulos æqua
<
lb
/>
les
<
emph
type
="
italics
"/>
IPR, HPZ
<
emph.end
type
="
italics
"/>
)
<
lb
/>
ipſarum
<
emph
type
="
italics
"/>
PS, PH,
<
emph.end
type
="
italics
"/>
<
lb
/>
quæ
<
expan
abbr
="
cõjunctim
">conjunctim</
expan
>
axem
<
lb
/>
totum 2
<
emph
type
="
italics
"/>
AC
<
emph.end
type
="
italics
"/>
adæ
<
lb
/>
quant. </
s
>
<
s
>Ad
<
emph
type
="
italics
"/>
SP
<
emph.end
type
="
italics
"/>
de
<
lb
/>
mittatur perpendicularis
<
emph
type
="
italics
"/>
QT,
<
emph.end
type
="
italics
"/>
& Ellipſeos latere recto principali
<
lb
/>
(ſeu (2
<
emph
type
="
italics
"/>
BC quad./AC
<
emph.end
type
="
italics
"/>
)) dicto
<
emph
type
="
italics
"/>
L,
<
emph.end
type
="
italics
"/>
erit
<
emph
type
="
italics
"/>
LXQR
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
LXPv
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
QR
<
emph.end
type
="
italics
"/>
ad
<
lb
/>
<
emph
type
="
italics
"/>
Pv,
<
emph.end
type
="
italics
"/>
id eſt ut
<
emph
type
="
italics
"/>
PE
<
emph.end
type
="
italics
"/>
ſeu
<
emph
type
="
italics
"/>
AC
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
PC
<
emph.end
type
="
italics
"/>
; &
<
emph
type
="
italics
"/>
LXPv
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
GvP
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
L
<
emph.end
type
="
italics
"/>
ad
<
lb
/>
<
emph
type
="
italics
"/>
Gv
<
emph.end
type
="
italics
"/>
; &
<
emph
type
="
italics
"/>
GvP
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Qv quad.
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
PC quad.
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
CD quad
<
emph.end
type
="
italics
"/>
; & (per Corol. </
s
>
<
s
>
<
lb
/>
2 Lem. </
s
>
<
s
>VII.)
<
emph
type
="
italics
"/>
Qv quad.
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Qx quad,
<
emph.end
type
="
italics
"/>
punctis
<
emph
type
="
italics
"/>
Q
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
P
<
emph.end
type
="
italics
"/>
coeuntibus,
<
lb
/>
eſt ratio æqualitatis; &
<
emph
type
="
italics
"/>
Qx quad.
<
emph.end
type
="
italics
"/>
ſeu
<
emph
type
="
italics
"/>
Qv quad.
<
emph.end
type
="
italics
"/>
eſt ad
<
emph
type
="
italics
"/>
QT quad.
<
emph.end
type
="
italics
"/>
<
lb
/>
ut
<
emph
type
="
italics
"/>
EP quad.
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
PF quad,
<
emph.end
type
="
italics
"/>
id eſt ut
<
emph
type
="
italics
"/>
CA quad.
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
PF quad.
<
emph.end
type
="
italics
"/>
ſive (per
<
lb
/>
Lem XII.) ut
<
emph
type
="
italics
"/>
CD quad.
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
CB quad.
<
emph.end
type
="
italics
"/>
Et conjunctis his omnibus ratio
<
lb
/>
nibus,
<
emph
type
="
italics
"/>
LXQR
<
emph.end
type
="
italics
"/>
fit ad
<
emph
type
="
italics
"/>
QT quad.
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
<
expan
abbr
="
ACXLXPCq.XCDq.
">ACXLXPCq.XCDque</
expan
>
<
emph.end
type
="
italics
"/>
ſeu 2
<
emph
type
="
italics
"/>
<
expan
abbr
="
CBq.
">CBque</
expan
>
<
lb
/>
<
expan
abbr
="
XPCq.XCDq.
">XPCq.XCDque</
expan
>
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
<
expan
abbr
="
PCXGvXCDq.XCBq.
">PCXGvXCDq.XCBque</
expan
>
<
emph.end
type
="
italics
"/>
ſive ut 2
<
emph
type
="
italics
"/>
PC
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Gv.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>