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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 183r, page id 00068193:0371
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ne
M
ur
∞L
no
et
da
ata
vta
NCu
recta
man
CM
ce
obat
set
M
itest
Ata
uno
sa
n
Sect. V. Cap. 2. De Motus directione eto.
tingere possit. His positis maniferrum ett, dato quocunque cur
vae MM puncto ut (2M) datoque situ rectae CA ut C2A, posse
dari situm ipsius AB, nempe 2 A (2B) talem, ut punctum M
il
Cadat in locum assignatum (2M). Et ita data circulatione
ipnus eit circa C, invertigari potert, qualis debeat. ette cireu-
AC
latio ipsius AB circa A, ut punctumM salva distantia sua
55.
ab A describat curvam datam 1M (2 M). Quod n anea tMM
ad infinitam distantiam continuetur, res obtiner non potest
nisi M m recta infinita AB progredi possit. Si curva non
sit in plano, tres motus inter se componi possunt. Ut suma
nemte motu ipsius AC et ipsius AB in plano paginae alius
accedat motus ipnus AB circa agem CA m plano ad pagi-
nam verticati, ut scilicet perveniatur ad punctum in sub-
-
1
limi curvae alicujus datae.
Prop. 8. et Defin.
Velocitates eirculantium, sunt im ratione compoti–
ta ventigmum et radiorum circularum. ex TiGo au
tem est velocitas angulos absolvendi.
)s.C
Sit (fig. 11.) linea infinita ABC ita mota circa punctum
id.
.
arcum describat; Idemque intelligatur malia recta infinita
LM. N.
Erit Ventigo n tota linea infinita, Velocitas scili-
cet angulum absolvendi, et posito motu uniformi, erunt Ver
figmes reciproce ut tempora periodica; posito autem aequali
tempore, quo verti gr. recta AcBC absolvit angulum 1dhA 23,
et recta LMN angulum 1M L2 M; in motu uniformi erunt
anguli ut vertigines, teu verfigo rectae ABC ad vertigmem
rectae LMN, ut angulus 18A2dd ad angulum iM L2M. Hinc
cum velocitates aestimentur motu uniformiten continuato per
um
finuore