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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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ERINOIPTA MATHEMATICA.
Scholium.
Fisce motuum Lunarium computationibus octendere rolui,
quod mocus Lunares, per Theoriam Craritatis, a causis luis com-
putari possinc. Per eandem Theoriam inveni praecerea quod A-
quatio Annua medii motus Lunae oriatur a varia dilatarione Or-
bis Lunx per vim Solis, juxta Corol. 6. Prop. EXVI. LIb. I. IIXeC
vis in Perisxeo Solis major est, ec Orbem Lunxe dilacat; in ApO-
8ao ejus minor est, ex Orbem illum contrahi permietit. In Orbc
dilataco Luna cardius revolvitur, in contracto cirius; et Aiguaeio
Annua per quam haec inxqualicas compentatur, in APOSXO eC
Perioxo Solis nulla est, in mediocri Solis a Terra distancia ad
LI. 50 circiter ascendie, in aliis locis Aguationi centri Solis
proportionalis eA, ex additur medio motui Lunae ubi Terra per-
sit ab Aphelio suo ad Perihelium, ec in opposita Orbis parte sub-
ducitur. ANumendo radium Orbis magni 1000 de Rccencricita-
FOM TCFEX F65, haec Aquatio ubi maxima est, per Theoriam CF2-
vicacis prodiit Tr. 40. Sed Eccentricitas Perrae paulo major este
videtur, ex aucta Rccentricitate haec A quacio augeri debet in ca-
dem ratione. Sit Rccentricitas 1675, e sEquatio maxima crie
FL. 52
Inveni etiam quod in Perihelio Perrxe, propter majorem rim
Solis, Apooxum ec Nodi Lunx velocius moventur quam in Aphe-
lio ejus, idque in eriplicaca ratione dictantix Terrae a Sole inverle.
FE inde oriuntur Aquationes Annux horum mocuum Aquationi
centri Solis proxortionales. Mocus autem Solis est in duplicata
ratione distancix Terra a Sole inverse, se maxima centri sEquatio
quam haec inaequalitas generat, est 185. 56. 26 praedictae Solis
Eccentricitari 1623 congruens. Quod si motus Solis eNet in eri.
plicata ratione distantix inverse, haec inaequalitas generaret A qua-
tionera maximam 28r. 56. 9. FE propierea squationcs maxi-
mx quas inaequalitates motuum Aposxi ec Nlodorum Lunxe gene-
FANE, TUnE ad 285. 56. 9 ut mocus medius diurnus Apogeei et
mocus medius diurnus Nodorum Lunae Cune ad mocum medium
diurnum Solis. Inde prodie Aquatio maxima medii motus
APOexi 19. 52: e Aquario maxima medii motus Nodorum
9. 27. Additur vero A quacio prior et subducitur posterior, ubi
Terra pergir a Perihelio suo ad Aphelium: et contrarium sic in
Oppolica Orbis PAEEC.
LIBEN
TEXXIVS.