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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 94v, page id 00068193:0190
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De Tractus en spatio et
tractui iprus solidi, sive cum alterius solidi tractu eadem proporti
one reprresentato comparetur, sive partibus fractus ejurdem solidi, ita
ut verbi gratia tractus partis solidi LN sit ad tractum totius soldi
Le ut figura G ACGr ad figuram AEGX.
Frop. 
Scatium absolutum motu aequalitom
duitu mobilis in lineam ab aliquo mobili puncto des criptam, sive et
 . C
in ratione comporita mobilis et lineae a punito mobus descriptae.
sit (Fig. 129) motile AB, cujus punctum ut A describit re
ctam ut 2 A aequalem rectae 1B=B, quam simul describit quodvis
C.
aliud puncturo D3; idemque intelligatur in mobili LM; ajo esse tra
etam unus AB ad tractum iptius LM m ratione composita Add ad
LM et 1A2 AA ad 1L2L. Patet ex prop. 3. de duitibus; cum Tractus
sit factus ex ductu mobilis in linens à punctis suis descriptas ordina
tim applicatas; quae hoc loco sunt aequales; idem est ergo ac si fiat tra
D.p.
ctus  morili in rectam conttantem.
beos2. 8.
dractus rectarum circa extrema immota circulos describen
hum sunt in duplicata ratione rectarum seu diametrorum
Sint (Fig. 150) recta CL, CM; ajo tractum C1 L2LC este ad
fractum CM2 MC, ut quadratum CL ad quadratum CM. Suntenim
per praecedentem, ut reitangulum sub CL m 1L 2 L ad rectangulum sub
CMm M2M; ett autem 1L2L ad 1M2M, ut CL ad eM; Ergo sun
ut quadrata eL ad CM.
Prop. 9.
c
irculorum (aut Cylindrorum ejusdem altitudinis) horum ve
sectorum circa suos naces revolutionem absolventium, aut eosdo
angulos efficientium tractus, sunt in triplicata ratione diametros
C
rum. (intelligo autem rgidos etse, seu ad mitar rigidorum motos.
sit (Figuri praeced.) Circulus aut Cylinder AL circa axem
revolutionem 1L2L3 L.L absolvens, et alius BM (Cylinder ejuso
altit