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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 278, page id 1041163592:0312
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=312
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278
PTIILOSOPHLE NATDRALIS
SE Moro deam YLZ uE O Qad OC. Dein perpendiculo MI N ab scindatuE
onronvu area FIyperbolica P LN M qux sic ad aream FIyperbolicam P IF _
UE arCUS C Z ad arcum B C descensu descripeum. F.F si perpendicu-
10 RC abscindatur area EIrperbolica P IGR, guxe sic ad aream
PTF Q ut arcus quilibet C D ad arcum BC descensi toto de-
scriptum: erit relistentia in loco D ad vim gravitatis, ut arca
OR
C
TEF = TGFL ad aream P JF. N M.
Nam cum vires a graritare oriunde quibus corpus in locis Z, B, D,
a UrGCtUT, SINE UE arCUS CZ, CB, CD, C an _ arcus illi sInE uE area
PINM, PTE O TTGR, PTTC; exponantur cum arcustum vi-
resperhasareasrespectire. Sic insuper Dd spacium quam minimum
a corpore descendente delcriptum, et exponatur idem per aream
quam minimam _ Ger Parallelis RG, re comprehensam; _ prO.
ducaturre ad B, ut sInE CFTBG, _ RCer contemporanea arearum
TGTI F TOR decrementa. RF aFCX
cum GTIhC-
DR
TEF -TG FL incremen.
LE F, CCu RTX HIG - L YF. F, eric ad arex
P TG R deCreMEntum RGGr SCU R Y Z R C, ut IIC - =EL
X
2d RC; ad eo que ut O RXH6 -0
OQ
OFX PT hoc es (ob aequalia O R XHG; ORXHR-ORXGR,
ORAK -OPTK, PTHR e PIGR + TGII) uc PI6R +
TGII
OK
IF F ad OPTR. IBitur S arCa
DE TFF - 16H
dicatuE