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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 379, page id 1041163592:0413
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11
PRINOTPTA MATEIEMAETCA
Penduli in Laricudine Lutetiae Parisiorum ad minuta lecundd L1
OCcillancis lonsitudo est pedum erium Parisientium ec linearum 85. Fuurros
EF lonsirudo quod grave tempore minuti unius secundi cadendo
describies est ad dimidiam lonsicudinem penduli hujus, in duplicata
ratione circumserentia circuli ad diametrum ejus (ut indicavie
Flurenius) ideoque est pedum Parisientium 15, dig. F, lin. 218, lCu
linearum 217418.
Corpus in circulo, ad distantiam Dedum 19695539 a CenETO,
lingulis diebus Sdereis horarum 23. 56. 4 uniformiter revolvens,
cempore minuti unius secundi describit arcum pedum 1436, 223.
cujus linus versus CA pedum 0,05236558. seu linearum 7,54064.
Ideoque ris qua graria descendune in Lacitudine Lutetiae, est ad
rim centripetam corporum in Aquatore, a Terrxe motu diurno
Oriundam, ut 217478 2d 7354064.
Vis centritusa corporum in AE.quatore, est ad rim centrifugam
qua corpora directe tendune a Perra in Lacitudinc Lutetiae er2
duum 48. 50, in duplicata ratione Radii ad sinum complementi
Laticudinis illius, id cA, uc 7,54064 2d 3, 267. Addatur hac vis
ad rim qua graria descendune in Latitudine Lutetiae, _ COrpUS
in Lacitudine Lutetiae vi tota gravicaris cadendo, tempore minuri
unius sccundi describeret lineas 2777,32 Teu pedes Parisienses 15,
dig. 1, ec lin. 5, 32. Fe ris eoca gravitatis in Lacicudine illa, crie
ad vim centripetam corporum in AAQuaTOrC FeTTK, UC 2177,32
ad 7,54064. (cu 289 ad 1.
Onde ( AZ B Q figuram Terrae designet jam non amplius
Sphaericam sCd rerolutione Elliplcos circum axem minorem P L
Genitam, icque AC. Qgc a canalis aquae plc-
na 2 polo g ad centrum C’c, ec inde ad
Aquatorem Aa pergens: debebit pondus
aguae in canalis crure AC. c a, ese ad pondus
aquae in crure altero Cc9 uE 289 2d 288,
eo quod ris centritusa ex circulari mOTU
orta partem unam c ponderis partibus 289
sustinebit ac decrahet, de Dondus 288 in al-
cero crure luctinebie reliquas. POrro (Cx
Propolitionis xei. Corollario secundo L. Ib. L.)
compucationem incundos invenio quod s Terra constaret ex uni-
formi maceria mocuque omni privaretus, e esset ejus axis 
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