Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

< >
[Figure 131]
Page: 227
[Figure 132]
Page: 228
[Figure 133]
Page: 231
[Figure 134]
Page: 232
[Figure 135]
Page: 232
[Figure 136]
Page: 234
[Figure 137]
Page: 235
[Figure 138]
Page: 236
[Figure 139]
Page: 237
[Figure 140]
Page: 238
[Figure 141]
Page: 240
[Figure 142]
Page: 241
[Figure 143]
Page: 241
[Figure 144]
Page: 242
[Figure 145]
Page: 243
[Figure 146]
Page: 244
[Figure 147]
Page: 246
[Figure 148]
Page: 247
[Figure 149]
Page: 248
[Figure 150]
Page: 250
[Figure 151]
Page: 256
[Figure 152]
Page: 258
[Figure 153]
Page: 260
[Figure 154]
Page: 263
[Figure 155]
Page: 266
[Figure 156]
Page: 269
[Figure 157]
Page: 270
[Figure 158]
Page: 271
[Figure 159]
Page: 272
[Figure 160]
Page: 273
< >
page |< < of 524 > >|
1
DE MOTU
CORPORUM
PROPOSITIO LXXXI. PROBLEMA XLI.
Stantibus jam poſitis, menſuranda est AreaABNA.
A puncto Pducatur recta PHSphæram tangens in H,& ad
axem PABdemiſſa normali HI,biſecetur PIin L;& erit
(per Prop. 12, Lib. 2. Elem.) PEqæquale PSq + SEq+
2PSD.Eſt autem SEqſeu SHq(ob ſimilitudinem triangu­
lorum SPH, SHI) æquale rectangulo PSI.Ergo PEqæquale
eſt contento ſub PS& PS+SI+2SD,hoc eſt, ſub PS&
2LS+2SD,id eſt, ſub PS& 2LD.Porro DE quadæquale
eſt SEq-SDq,ſeu SEq -LSq+2SLD-LDq,id eſt,
2SLD-LDq-ALB.Nam LSq-SEqſeu LSq-SAq
121[Figure 121]
(per Prop. 6, Lib. 2. Elem.) æquatur rectangulo ALB.Scriba­
tur itaque 2SLD -LDq -ALBpro DEq; & quantitas
(DEqXPS/PEXV), quæ ſecundum Corollarium quartum Propoſitionis
præcedentis eſt ut longitudo ordinatim applicatæ DN,reſolvet
ſeſe in tres partes (2SLDXPS/PEXV)-(LDqXPS/PEXV)-(ALBXPS/PEXV):
ubi ſi pro V ſcribatur ratio inverſa vis centripetæ, & pro PEme­
dium proportionale inter PS& 2LD; tres illæ partes evadent
ordinatim applicatæ linearum totidem curvarum, quarum areæ per
Methodos vulgatas innoteſcunt. que E. F.

Text layer

  • Dictionary
  • Places

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index
Impressum