Philosophiae naturalis principia mathematica . cadatam EHipfm defcripta effe inter fe Gad Qjv quad. utPC quad. ad CDquad. & C ob fimi-lia triangula Qjv t,P C F ) £Jjz/ |##fl?. efi: ad 2X ^jnad: ut P C ,P P C ^jwc/. ad P F ^/wflf. id eft v G ad ~l ut P C Y xP F, nec non ( punclis P & 6>_coeun- tibus ) iV C pro <v G, & ducTis extremis & medijs in fe mutuo, &£±3g™3 ^uale ? 5C15 CA* Eft ergo ( per. QK ?C Corol ^) vis centripeta reciproce ut3 ^L—£> id eft 1 \j (fob C 49 ] ( ob datum 2 Aq.)iit ~> h°c eft? directe ut diftantia vC P
Philosophiae naturalis principia mathematica . cadatam EHipfm defcripta effe inter fe Gad Qjv quad. utPC quad. ad CDquad. & C ob fimi-lia triangula Qjv t,P C F ) £Jjz/ |##fl?. efi: ad 2X ^jnad: ut P C ,P P C ^jwc/. ad P F ^/wflf. id eft v G ad ~l ut P C Y xP F, nec non ( punclis P & 6>_coeun- tibus ) iV C pro <v G, & ducTis extremis & medijs in fe mutuo, &£±3g™3 ^uale ? 5C15 CA* Eft ergo ( per. QK ?C Corol ^) vis centripeta reciproce ut3 ^L—£> id eft 1 \j (fob C 49 ] ( ob datum 2 Aq.)iit ~> h°c eft? directe ut diftantia vC PC. £\E. L Corol. 1. Unde vicifllm fi visfif ut diftantia, movebitur corpusin Ellipfi centrum habente in centro viriuin, aut forte in circulo,in quem Ellipfis migrare poteft. Corol. 1. Et sequalia erunt revolutionum in Figuris univerfiscirca centrum idem faclarum periodica tempora. Nam temporailla in Ellipfibus fimilibus a:qualia funt per Corol. 3 & 7 : In Ellipfibus autem communcm habentibus axem majorem,funt ad invicem ut Ellipfeon areae totse direcle & arearum parti-culae fimul defcriptae inverfej id eft ut axes minores direcle &corporum velocitates in verticibus principalibus inverfe, hoc eftut axes illi direcle & ordinatim applicatae ad axes alteros inverfe,& propterea ( ob aequalitatem rationum dire£tarum & inverfa-rum ) in ratione aequalitatis. Schoh mm. Si Ellipfis, centro in infinitum abeun
Size: 1678px × 1489px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthornewtonisa, bookdecade1680, bookidphilosophiaenat00newt
