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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 93r, page id 00068193:0187
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M. 1
De Traitu seu spatio eto.
Prop. 1.
Si mobilis gravitas specifica in quovis puncto, ut utvia
ejusdem; puncti, tunc spatium a mobili absolutum erit pon-
deri proportionale
Nam tractus seu spatium absolutum sit ea viis panctorum
L
C
M
in mobile ordinatim ductis (per defin. huc); sed duitus sunt ut
pondera mobilium, si ordinatim ducta sint ut gravitates specifi–
Ap
cae, recipientia vero ductum ut mobilia. (per prop. 1. cap. de ductitus.)
Prop. 2.
Si mobile sit punctum, tractus seu spatium motu ab-
solutum est ipta puncti via.
Sequitur ea definitione, nam singula puncta ad unicum
-.LL
-C
edueuntur, et via ad unicam, scilicet iptam hujus puncti li-
g
neam.
Prop. 3.
Si movile sit linea, spatium motu absolutum est ut area
sei
superficiei factae per rectas viae cujusque puncti propontionales, ipsi
lineae m rectum extensae eodem angulo recto in puncto responden
e
morstentes.
uno enim sractus sit duetus factus ex lineis à pancto de
)
scriptis in mobilo ordinatim ductis (per defin huc) et duitus sint
mojortionales figuris isogopis propontionaliter formatis (perprop.
1. ex7.
Sit li (Fig. 146) linea mobilis ABC, cujus extrema A
s
et C describant lineas 1A2 A3 A et IC2C3 C, et punctum quod
vis ut B, descritat lineum 1B2B3Sd, fuit figura orthogonia
sil
comprehenta recta 3 A333C, et rectis ad hanc normalibus 3A DG
3CFR, et Linea GHK, sic ut ordinata quaevis normalis ips 3A-
333C, sit 3dCA. Et viis punctorum 2A 2 A, 13213, 1C2 C, itemque
1
C
107