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# Title: Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione (shelfmark Leibn. Marg. 63)
# Folio 145, page id 820424455:0167
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Sect. 20
AST_ONOMTA:
Commentario de Rella Marris lic Paris probarie, non al
quam ellipricas orbiras Planctarum moribus accurare expli-
candis convenire. Fst aurem prima incer ellipricas hyporte-
lis Repleri, qui existimar Solem in inferiori foco orbitae
ellipricae cujusque Planeta posirum, rolurione corporis sui
circa axem proprium 27 quasi diebus complenda; rapere
Clanetas circumpoliros vircure radiorum ranquam recti quo-
dam, celerius quidem propiores, d cardius remoriores.
plane ur rectis majori vi lerae pondus Pacultari movenri pro-
pinquius. Unde fucurum erac, si. Planeta quilque eandem
lemper Z Sole distanciam obtineret; ur regulari prortus o-
cu incederet; ac cuini Planerarum corpora fibris magnericis
instructa Aaciiar; quae uns extremirate Solerii apperant, a
cera Fuxiane; sequitur eosnonnunquam à Sole recedere lon
eius, alias vero ad cundem appropinquare; proux illipoi
um amicum vel inimicum obverrunc; unde porro sequicur,
lanetam longiis recedentem debiliori radiorum vi corqueri
lenrius, e contra; ex quidem ratione ac lege, ut area,
Quas radius rector a Sole ad Planeram exrensus verrit, Cres
cant xequalirer aequalibus temporum momeneis. Sic Figurd
LVIII. A Sol; idemque focus inferior ellipseos; focus
alter L, cenerum ellipseos B, ipsa vero ellip(Is P FXI,
quam Planera motu centri sui circa Solem describit. Cir-
culus ellips circum scripius siC PD XT. Linea aplidum per
IOcOS A _ L extendimr X AL. P, aphelium eA P; d peri
helium Z. A B est eccentriciras, d ejus duplum A L vocatuP
distantia focorum. Distancia maxima Planerae à Sole cAt
AP, ecminima AX; media vero AF, quae est mediu
ariitumericum inter A P _ A X, eademque aequalis semi-
damerro ellipleos maxime BP; at minima semidiameter
Cl B F. Si Planera sIc in C, erit radius rector AC, d
Sole A ad Planerae corpus C extensa. Cerrum cA, quod
hiaec linca AC, sive radius rector describir verrendo omnem
aream corius ellipseos, duw Planeta a P per C, F, X, l redie
ad P contecta inceora periodo. Sic dum Planeta a P descenn
ir im C, idem radius rector A C, verrit aream F A C inte.
linea