Newton, Isaac - Philosophia naturalis principia mathematica

Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

[Figure 71]

[Figure 72]

[Figure 73]

[Figure 74]

[Figure 75]

[Figure 76]

[Figure 77]

[Figure 78]

[Figure 79]

[Figure 80]

[Figure 81]

[Figure 82]

[Figure 83]

[Figure 84]

[Figure 85]

[Figure 86]

[Figure 87]

[Figure 88]

[Figure 89]

[Figure 90]

[Figure 91]

[Figure 92]

[Figure 93]

[Figure 94]

[Figure 95]

[Figure 96]

[Figure 97]

[Figure 98]

[Figure 99]

[Figure 100]

1

DE MOTU
CORPORUM

De motu Corporum in Conicis Sectionibus excentricis.

PROPOSITIO XI. PROBLEMA VI.

Revolvatur corpus in Ellipſi: requiritur Lex vis centripetæ tenden
tis ad umbilicum Ellipſeos.

Eſto Ellipſeos umbilicus S.Agatur SPſecans Ellipſeos
tum diametrum DKin E,tum ordinatim applicatam Qvin
x,& compleatur parallelogrammum QxPR.Patet EPæqua
lem eſſe ſemiaxi ma

21[Figure 21]
jori AC,eo quod
acta ab altero Ellip
ſeos umbilico H li
nea HI ipſi ECpa
rallela, (ob æquales
CS, CH) æquentur
ES, EI,adeo ut EP
ſemiſumma ſit ipſa
rum PS, PI,id eſt
(ob parallelas HI,
PR& angulos æqua
les IPR, HPZ)
ipſarum PS, PH,
quæ conjunctim axem
totum 2AC adæ
quant. Ad SPde
mittatur perpendicularis QT,& Ellipſeos latere recto principali
(ſeu (2BC quad./AC)) dicto L,erit LXQRad LXPvut QRad
Pv,id eſt ut PE ſeu AC ad PC; & LXPvad GvPut L ad
Gv; & GvPad Qv quad.ut PC quad.ad CD quad; & (per Corol.
2 Lem. VII.) Qv quad.ad Qx quad,punctis Q& P coeuntibus,
eſt ratio æqualitatis; & Qx quad.ſeu Qv quad.eſt ad QT quad.
ut EP quad.ad PF quad,id eſt ut CA quad.ad PF quad.ſive (per
Lem XII.) ut CD quad.ad CB quad.Et conjunctis his omnibus ratio
nibus, LXQRfit ad QT quad.ut ACXLXPCq.XCDqueſeu 2CBque
XPCq.XCDquead PCXGvXCDq.XCBqueſive ut 2PCad Gv.

Text layer

Text normalization

Search