Philosophiae naturalis principia mathematica . 6\ Et cum motus horarius Nodorum femper fitut AZ qu. & area (P £> d M conjunctim, & propterea motus ho-rarius Nodorum in Syzygiis Lunae ut area $ T)d Afcon-junctim, id eft (ob datam aream (P D d M in Syzygiis defcriptam)ut AZqu. erit etiam motus mediocris ut AZqu. atque adeo hic mo-tus, ubi Nodi extra Quadraturas verfantur, erit ad 16. 3 5. 1 &\l6\ ut AZc[u, ad ATqu. Q^E. D. Invenire motum horarium Nodorum hundt in Orhe Elliptico. Defignet dfmaq Ellipfim, axe majore Qj\^ minore a b de-fcriptam, Qji <{ cireulum cir
Philosophiae naturalis principia mathematica . 6\ Et cum motus horarius Nodorum femper fitut AZ qu. & area (P £> d M conjunctim, & propterea motus ho-rarius Nodorum in Syzygiis Lunae ut area $ T)d Afcon-junctim, id eft (ob datam aream (P D d M in Syzygiis defcriptam)ut AZqu. erit etiam motus mediocris ut AZqu. atque adeo hic mo-tus, ubi Nodi extra Quadraturas verfantur, erit ad 16. 3 5. 1 &\l6\ ut AZc[u, ad ATqu. Q^E. D. Invenire motum horarium Nodorum hundt in Orhe Elliptico. Defignet dfmaq Ellipfim, axe majore Qj\^ minore a b de-fcriptam, Qji <{ cireulum circiimfcriptum, jTTerram in utriufque. centro communi, S Solem, p Lunam in Ellipfi moventem, Scpmarcum quem data temporis particula quam minima defcribit, N&c n Kodos C 449 ]Nodos linea Nn junctos, p J^Sc m k perpendicuk in axem Q^q de-mifla Sc hinc inde producta, donec occurrant circulo in <P Sc M, Sclineae Nodorum in D Sc d. Et fi Luna, radio ad Terram duclo,aream defcribat tempori proportionalem, erit motus Nodi in El-lipfi ut area p I\J{. m. N Nam fi TF tangat circulum in / tangat Ellipfin in p Sc produ&a occurrat eidem TN inf, conveniant autem hx Tangentes in axe T^ad Xi &c fi ML de-fignet fpatium quod Luna in circulo revolvens, interea dum defcri-feit arcum ?M, urgente & impellente vi praedicta 3 IT, motutranfverfo defcribere poffet, Sc m l defignet fpatium quod Luna revolvens eodem tempore, urgente etiam vi 3 7T, defcri-bere poflet; &. producantur LT Sc lp donec occurrant plano Ec-lipticae m G Sc g; Sc jungantur FG Sc fg, quarum FG produ
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