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
>
<
pb
xlink:href
="
039/01/119.jpg
"
pagenum
="
91
"/>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
Hinc recta duci poteſt cujus partes longitudine datæ rectis
<
lb
/>
<
arrow.to.target
n
="
note67
"/>
tribus poſitione datis interjacebunt. </
s
>
<
s
>Concipe Triangulum
<
emph
type
="
italics
"/>
DEF,
<
emph.end
type
="
italics
"/>
<
lb
/>
puncto
<
emph
type
="
italics
"/>
D
<
emph.end
type
="
italics
"/>
ad latus
<
emph
type
="
italics
"/>
EF
<
emph.end
type
="
italics
"/>
accedente, & lateribus
<
emph
type
="
italics
"/>
DE, DF
<
emph.end
type
="
italics
"/>
in di
<
lb
/>
rectum poſitis, mutari in lineam rectam, cujus pars data
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
rec
<
lb
/>
tis poſitione datis
<
emph
type
="
italics
"/>
AB, AC,
<
emph.end
type
="
italics
"/>
& pars data
<
emph
type
="
italics
"/>
DF
<
emph.end
type
="
italics
"/>
rectis poſitione da
<
lb
/>
tis
<
emph
type
="
italics
"/>
AB, BC
<
emph.end
type
="
italics
"/>
interponi debet; & applicando conſtructionem præ
<
lb
/>
cedentem ad hunc caſum ſolvetur Problema. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note67
"/>
LIBER
<
lb
/>
PRIMUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXVIII. PROBLEMA XX.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Trajectoriam ſpecie & magnitudine datam deſcribere, cujus partes da
<
lb
/>
tæ rectis tribus poſitione datis interjacebunt.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Deſcribenda ſit Trajectoria quæ ſit ſimilis & æqualis Lineæ cur
<
lb
/>
væ
<
emph
type
="
italics
"/>
DEF,
<
emph.end
type
="
italics
"/>
quæque a rectis tribus
<
emph
type
="
italics
"/>
AB, AC, BC
<
emph.end
type
="
italics
"/>
poſitione datis, in
<
lb
/>
<
figure
id
="
id.039.01.119.1.jpg
"
xlink:href
="
039/01/119/1.jpg
"
number
="
67
"/>
<
lb
/>
partes datis hujus partibus
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
EF
<
emph.end
type
="
italics
"/>
ſimiles & æquales ſeca
<
lb
/>
bitur. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Age rectas
<
emph
type
="
italics
"/>
DE, EF, DF,
<
emph.end
type
="
italics
"/>
& trianguli hujus
<
emph
type
="
italics
"/>
DEF
<
emph.end
type
="
italics
"/>
pone an
<
lb
/>
los
<
emph
type
="
italics
"/>
D, E, F
<
emph.end
type
="
italics
"/>
ad rectas illas poſitione datas (per Lem. </
s
>
<
s
>XXVI) Dein
<
lb
/>
circa triangulum deſcribe Trajectoriam Curvæ
<
emph
type
="
italics
"/>
DEF
<
emph.end
type
="
italics
"/>
ſimilem &
<
lb
/>
æqualem.
<
emph
type
="
italics
"/>
q.E.F.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>