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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 252, page id 1041163592:0286
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52
AF
PHILOSOPHISE NATVKALIS
Momentum hujus arex sive huic aequalis = AGZBDZV
DF. 9X AB
est ad momentum differentix arCarum D FY _ AbNR, ut
HOCCA, UE D AGZBDXM
DAGZBDZZMXM, ATXBDZn
DF 9X AB
D A
B
DF9.
ad ZBD X AP, AIVC UE  F= In DF. T ad D AF; adeoque ubi
2TCX D F T ec D AF quam minimxe sune, in ratione aequalitaris.
D
Equalis isitur est area quam minima 
4AB
disterentiae quam
InIma arCarUM D ET _C AbNPR. Inde cum spacia in MC-
dio utroque, in principio descentus vel Aine accensus limul delcrip-
ta accedune ad aequalitarem, adeoque tunc sunt ad invicem ut area
BDXV
AB e arearuM D F. T _ AB N R ditterentia; ob eorum ana-
loga incrementa necesse est ut in aequalibus quibuscunque tempo.
DXV
42B d RrearUM D E. Z e
ribus sinc ad invicem ut arca illa =
AbNX difterentia. 8. F. D.
orxOKbM
DE MOrO BD X V
ECTFC