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
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
<
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
="
039/01/114.jpg
"
pagenum
="
86
"/>
<
arrow.to.target
n
="
note62
"/>
dem recta per medium omnium
<
emph
type
="
italics
"/>
Eq, eQ, MK
<
emph.end
type
="
italics
"/>
; (per Lem. </
s
>
<
s
>XXIII)
<
lb
/>
& medium rectæ
<
emph
type
="
italics
"/>
MK
<
emph.end
type
="
italics
"/>
eſt centrum Sectionis. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note62
"/>
DE MOTU
<
lb
/>
CORPORUM</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXVII. PROBLEMA XIX.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Trajectoriam deſcribere quæ rectas quinque poſitione datas continget.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Dentur pofitione tangentes
<
emph
type
="
italics
"/>
ABG, BCF, GCD, FDE, EA.
<
emph.end
type
="
italics
"/>
<
lb
/>
Figuræ quadrilateræ ſub quatuor quibuſvis contentæ
<
emph
type
="
italics
"/>
ABFE
<
emph.end
type
="
italics
"/>
dia
<
lb
/>
gonales
<
emph
type
="
italics
"/>
AF, BE
<
emph.end
type
="
italics
"/>
biſeca, & (per Corol. </
s
>
<
s
>3. Lem. </
s
>
<
s
>XXV) recta
<
emph
type
="
italics
"/>
MN
<
emph.end
type
="
italics
"/>
<
lb
/>
per puncta biſectionum acta tranſibit per centrum Trajectoriæ. </
s
>
<
s
>
<
lb
/>
Rurſus Figuræ quadrilateræ
<
emph
type
="
italics
"/>
BGDF,
<
emph.end
type
="
italics
"/>
ſub aliis quibuſvis quatuor
<
lb
/>
<
figure
id
="
id.039.01.114.1.jpg
"
xlink:href
="
039/01/114/1.jpg
"
number
="
60
"/>
<
lb
/>
tangentibus contentæ, diagonales (ut ita dicam)
<
emph
type
="
italics
"/>
BD, GF
<
emph.end
type
="
italics
"/>
bi
<
lb
/>
ſeca in
<
emph
type
="
italics
"/>
P
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
Q:
<
emph.end
type
="
italics
"/>
& recta
<
emph
type
="
italics
"/>
PQ
<
emph.end
type
="
italics
"/>
per puncta biſectionum acta tranſ
<
lb
/>
ibit per centrum Trajectoriæ. </
s
>
<
s
>Dabitur ergo centrum in concurſu bi
<
lb
/>
ſecantium. </
s
>
<
s
>Sit illud
<
emph
type
="
italics
"/>
O.
<
emph.end
type
="
italics
"/>
Tangenti cuivis
<
emph
type
="
italics
"/>
BC
<
emph.end
type
="
italics
"/>
parallelam age
<
emph
type
="
italics
"/>
KL,
<
emph.end
type
="
italics
"/>
<
lb
/>
ad eam diſtantiam ut centrum
<
emph
type
="
italics
"/>
O
<
emph.end
type
="
italics
"/>
in medio inter parallelas locetur,
<
lb
/>
& acta
<
emph
type
="
italics
"/>
KL
<
emph.end
type
="
italics
"/>
tanget Trajectoriam deſcribendam. </
s
>
<
s
>Secet hæc tan-</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>