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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:3-4; ZEN Leibn. Marg. 7:3-4)
# Folio 327, page id 779785770:0369
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LTB. III. DE MIIXEIS IMPERE. AOVETS. 327
ROP. ZL IV.
Ybi Luna est in alio circulo ab
Aiquatore, non est maxima depressis
inpolis mundi, illa tamen elenatio,
quae est in polismundi fixa est, quan-
diu Luna in pradicto, vel in opposito
circulomanet.
Prima pars probatur, quia maxi-
ma deprestionis puncta 90. Siad.
distane a punctis maximae elenatio-
nIS; Sed Luna extra sEquatorem po-
Lita, puncta maxima eleuationis nOn
lune in squatore, ergo in alio cir-
culo, sed exera A. quatorem, nullem
Ephaera punctum distat 90. srad. d
polis; ergo (I LUna PONaEUE CXETA
Aiquatorem, maxima depressio non
est in polis.
Probatur secunda pars, quia poli
tnundi RON IBBCANEUE, neque IMO-
BenEur; hinc nulla est per se reci-
procatio aectus in polis mundi, cum
coo eotempore, quo Luna luum cir-
culum percurrie, eadem sic in illis
aquarum elevario; per accidens Ca-
men secus accidere pocest, propter
aquae descentum: punctum vero
maxima depressionis, polieâ scilicet
LRHa exEra Sgnatorem, continué
nmtatur, luumque orbem agie, cir-
ea polos mundi, repater ex dictis.
PROPOS.
XF
Posito quod totam clobi terraque
superficiem aqua occupet, vt hacte-
nus supposui, omnibus einsdem meri-
diani punctis, eodem temporis mo-
mento, fit astus, sive per depressio
nem aqua, sine per elenationem:
constat ex dictis; sc enim, V. GI. Lu-
na in Aquatore, nam perinde cst;
sntque puncta maximae elevationis
Oppolita ML NV, poli mundi CtUME
OP; iam rero circaarem C P vol-
vatur eily plIS MI O N P, iuXEa mO-
eum Lunx; haud dubie praedicta
ellyplis omnibus meridianis successi-
ve relpondebie, ac proinde cidem
meridiano, eodem cemporis momen-
eo respondebit maxima elevatio;
icemque deinde, maxima depressio,
re perspicuu CAt.
PROPOS. ZL VP.
Idem punctum, extra polos mun-
di, bis elenationem, il enqne bis de-
pressionem aquarum, toto eo tempore,
quo Luna (uum orbem decurrit, ha-
bebit: V. GF. erIGACUE O P CIFCA F D,
donec incumbae perpendicularirer
ip(I F. D; Sinegne poli mundi OP,
in aXc OP crecto, ve dixi, ciica
quem voluatuE CIIypSiS MIONP.
iuxta mocum Luna, ica ve N tendaD
versus P; cerre initio mocus, pucto L
relponder maxima elevario, cum post
quadrancem orbis lunaris decursum,
maxima depressio; tunc enim pun-
ctum ellyplis O respondet L, _ post
alterurri quadtancen, maxima eleva-
tio, tunc enim punctum MI respOn-
dec; e pott cercium quadrantems
punctum P; denique post absolu-
cum circulum punctum N ad pri-
sinum locum redie; igicur pun-
Ctum. P Foto motus lunaris cempore
bis maximam elevationem, et bis
IaXimam depressiOnem HABCE; VETA
que porro clevario aequalis est respe-
Etu eiuldem puncti, polica Scilicee
LUna in AEGHatOLO, ve Patet; CHt
tamen maior in ipso Aiguatore,
quam alibi, ve iam lupra dictum est;
iie POlICa LUNA CXETA AE QVaTOTCM,
veraque elevacio in PE quatOTE EqUa-
lis elt, licee minor (it priore illa, quam
Luua in Aquatore polita caulac.