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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 215, page id 1041163592:0249
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PRINCIPTA MATTIEMALICA
215
Corol. 4. Spacium vero 2 corpore descriptum differentia est duO- L IDEN
rum spatiorum, quorum alterum est ut tempus sumprum ab initio SECVNDVS.
descensus, ex alterum ne velocitas, gux criam ipso descensus inieio
aequantur inter (C.
PROPOSITIO IV. PROBLEMA II.
Posito quod vis gravitatis in Medio aliquo similari uniformis sit;
ac tendat perpendiculariter ad planum Horizontis; definire mo-
tum Projectilis in eodem, resistentiam velocitati proportionalem
patientis.
E locoquoris D egrediaturPrO-
jectile secundum lineam quam-
vis rectam D P, et per longitu-
dinem D P exponatur ejuldem
velocitas (ub inieio mOTUS. A
puncto F ad lincam Hlorizonta-
lem DC demittatur perpendi-
culum F C, _E SCCCEUF D C in A
UE AIE D A ad AC uE resistentia
Medliis ex motu in alcitudinem
Tub initio orta, ad rim gravi-
tacis; vel (quod perinde est) ue
lic rectangulum sub D  _ D F
ad rectangulum sub AC e C F
Ut resistentia cora (ub initio mo-
cus ad vim gravicacis. Asympeotis
DC, CP, describatur LIyperbo-
la quaeris CT BS sccanS Perpen-
dicula DG) AB in G _ B; &
compleatur parallelogrammum
DEKC, cajus latUS GH SCCCE
AB in G. Capiatur linea N in
ratione ad QB qua D C NIE 2C
CF; _ ad rectae DC pun-
etum quodris R crecto perpen-
diculo RT, quod TIyperbola
in T, de rectis C. II, CR, D F
in B, t _ V OCCUrrAE; in eo cape Vr aequalem
p
23 vel quod per.
inde