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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 1
# Folio 39r, page id 00068125:0077
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eofine excogitasse, ut perficias regulas motus
a Gasilaeopropositas, quoniam ipsoresistent
tiam medii neglexit. LI V B) ita est sane: con
jungamusigitur casus duos proximos priorem
cum posteriore, et motum statuamus es utroque
compositum, quod idem est ac graule projectum in
medio secundum proportionem ue locitatum re
sistente moueri, e quaeramus modum delineandi
Lineam motus, hoc est quaeramus quomodo
ex datospatio descensus obgrauitatem detur–
opatium progressus ob projectionem, aut uve n
uersa. id ex praecedent ibus theorematibus ita
consequemur: easpatio descensusdaturtem
pusinsumtum per prop. 4. casus posterioris.
ex tempore insumto datur spatium progressus
aprojectione (in recta scilicet projectionisdi
rectioni paralleta) per prop. 2. casusprioris.
ergo easpatio descensuo datur sparium progre
ssus, adeoque Linea projectionis gravium in me
dioita ab diximus resistente describi potesb, GC
P. exratione etiam quae est inter velocitatem
progressus descensus (per eademtheoremata in
veniendam) haberi potest Linea tangens, seu
directa, aliaque id genus. quod si uecocitas non
ratione velocitatum, sed dupsicata velocitatu
M
et alia grauisdiminuatur, nihil ominus exitum
reperiemus. GR. utinam haec distinite etabor-
ata, 8adpraxim reducta haberem us. hincenim
nifassor pendet perfectio scientiae balisticae:
maxime autem pyrobolicae, quam uocant Artigleriam
1