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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 6
# Folio 2r, page id 00067965:0003
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repraesentabunt tempora insumta intera vero dum regula Be movetur in directi
ves punctum mobile A in ipsa regula movebitur
et dumri regula incedit per 1B. 2B. hB. punctum A
in regula incedet per B. D. E. et simul dum
punctum D in regula cum ipsa regula transfertur
ex 1D in 2 D. interea punctum A tem
ex Bin D
perveniet
an proinde cum locus ejus primus esset B nempe 1A
esset. B locus ejus secundus 2A erit 2D. eodemque
modi dum regula _BDEC transit ex 2BEDE,C
in 3B3D3E3C punctum A transibit ex D in E,
et perveniet cum re E in 3E adeoque tertius ejus
locus ei3A erit 3E. et ita porro. Quod si
jam ponamus celeritatem ipsius A qua
regulam percurrit crescere certa quadm
Aentru ratione, exemplic ut ut
si primoat percurrat BD, (nempe B) 1B. A)
deinde  primis duobus minutis per percurrat BE
(nempe EB2A), et et primis tribus minutis
percurrat BF (nempe 3B3A) sint sintque et ipsae spalia percursa seu
ipsae. B. A. 2B2A. 2BF 3B3A non
crescant ut rectae tempora, sive ut R.B. R2B. R3B.
vel ut applic. 1B. H. 2B2H. 3B3H applicatae
trianguli ABH. sed cresant quod fit in
motu aequabili sed crescant ut ipsa
triangula R. B. H. R2B2 H. B3B3H quod
quod fit in motu uniformiter accelerato; tunc BA ordinatim applicatae seu spatia percursa)
sis crescent ut quadrata ipsarum RB. abscissarum seu altitudinum seu ut quadrata temporum
(nam rctm triangula enim RBH sunt
inter se ut ipsarum RB  quadrata
nam si RB =H AEB. (R2B) sit dupla
recta
(tripla) rectae R. B. triangulum R2BH (R3B3H)
erit quadraplum (monemplum) trianguli R. B, H
ut figuram et lineas punctatas in ea durctas
alias
in ea punctim designatas intuenti patet, et exGeo satis notum est suoque loco intelligetur mago
nam triangulum R.B.H componitur ex quatuor
triangulis ipsi R, B, H aqualibus, nempe
A.B.H 1HLH AH e (qu ipsi ipso
ipso R. B. H,  et 1HL 2H saequali ipsi R. B. H
nempe posito HL se parallelam et aequalem
ipsi 1B2 B vel R. B et L2H paralleeam et
aequalem ipsi 1B. H) et tiangulis . HEFL.
(aequali ipssi 1H2BH cum sine habeant dem aquales buses
basin LEH et 2BE  et eandem 
ac proinde cum ordinatim applicatae a curva
ad directricem AS siu RS. sint inter se ut RB quadrata altitudinum
altitudines sive abscissa portionus directricis,
linea A 2A3A erit parabola ex ejus definitione
vel primaria proprietate alias nota quam suo loco
satis explicabimus. utilis autem est haec linea
ad in re militari nam ponatur globus A
tormento ablique erecto excussus, secundum RS
ternaturali descendit secundum
dum globus interea (motu
continue accelerato descendit in BC, id est per 
parallelas. B, C, 2B2C, 387C. patet nempe
ab versu 
uam in describi a globo eam ipsam quam tractavimus
er
dum enim empetu tormenti transfertur ex R in 1B interea propria gravitate
notabiliter
BB dDD. EEE. FFF motu aequabili, quamdiu vis impressa nondum labascit
ejus paralle sursumque tendens secundum RS
et ei parallelas
1
ner
stum
descendit per Bd, et ita cum D pervenit ex in, ipsu ex B pervenit in D
suu id se ermo ddit prinus couis is aetradisum .d. uisus un ui conant
a Mobili A in regula BC
(si punctum mobileesset H rectamque
describeret)
amobili A in regula