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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 142r, page id 00068193:0285
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Specimon Calculi Analyt. pro Phoronetria.
arum Alo, F13); Totius autem mobilis vel datae in mobili par–
99
tis AB tractus vel effeitus diversi per diversa tempora inde
ab initio sumta sunt in triplicata ratione temporum impenso
um.
(36.) Coeterum quia (dov = vo: 2, fit AB = BC: 2; et quia
v3. 6.
(37.) Atque hrec prolixeus exponenda fucrunt, ut m novum No-
rationis genus, quo infinitum iprum sub leges Analyseos cogi-
tur, et innumerabiles graduum varietates eidem calculo sub-
vicientur, lectorem magno, si quando intelliget, tructu suo, nec
minore voluptate, introduceremus. Calculum autem in exem
plo aliunde ea communi Geometria maniferto exposiumus, ut
2p. 1. 1. L
ratio calculandi in alis multo subtilioribus, nec ad receptas vul
go Geometrarum methodos facile cessuris apparet et.
(38.) Quod si jam ad varietatem temporum et velocitatum
. P.
accedat varietas densitarum in mobili, quam in praecedenti exen-
plo ablegaveramus; complicatior adhuc oritur calculus differen-
rialis. Fit ergo m = (deq= Ge, et velocitate cujusque dim seu
cujusque elementi materia sive motis (hoc est cujusq’deq)
eairtente v, fit impetus mobilis y = (de qu vel (dmv
(39.) Hinc ut velocitatem inveniamus mediam non volu-
minis seu extensionis, (quam velocitatem mobilis simpliciter ap-
pello, sed potius molis, quam voco vigorem seu motus intentio-
nem, et designabo nunc nota 8, fit 8 = (amv: m seu scegu:
Sdequ, quia y = 8m.
40.) effectus autem mobilis f = sat sam B = m t (8). eritque
8) vigor totius temporis medius, et posito A ette longitudi–
nem translationis; seu AM = f, fit A = +(8) = Sat samv: m.
(4