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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 266, page id 175905688X:0288
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=288
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266
ER A N CLSCF d SCHOOTE N
Etos fecantes in A. ita ut quadrans circuli majoris sit C D; mino-
ris vero CFI. Jam isitur ut paceat ratio, qua hi circuli, Cumulcir-
cumroluti, aequales lineas absolrant; concipiatur priimum majo-
rem BC D E dextrorlum moreri super recta D R, de minorem
FCTII ad mocum illius describere lineam rectam ip(i DH pa-
rallelam, quae (ic IIL. UInde manifectum, cum punctum C per-
renerit ad MI, exiltenEe arCU D C aequali recta D MI, Temidiame.
erum quoque A C tunc tore perpendicularem super DH in M;
IEauECOinCIdAECUM AINS hoc est, punctum C cum punctOM, et
punctum a cum puncto NI. AC proinde cum punctum C circuli
minoris sic in recta A C: sequitur iplum quoque post hujus qua
drantis derolutionem cadere in punctum O; ica ur semidiameter
RC circuliminoris transferatur in NO. Adeo ut, NO aequali
exictente _ parallela ipsi AII, ipla quoque IIO sic aequalisfui-
cura ip(i A N Ceu DM, ee lingula rectae DM, IIO separatim ab
ucroque circuli quadrante eOdeITeMPOre peTaGreNEUT. Ldem de
integris circulis est intelligendum.
Non secus ostendetur, li moreatur circulus minor FG FTIIU
verrectam HII, secum deferens circulum majorem B CD L, libi
aftixum in cenero A, lineas rectas equales absolvi. Devoluco enim
circuliminoris quadrante HC super rectam HI L, ab Hl verlus L;
ita ue rectam lineam EI P libi aequalem Percurrat: duCatur per P
recta OPR, Secans rectam II L ad angulos rectos in P; Sed AN
eEDR in ()QR. Duofacto, perspicuum est, cum punctum (
est in P, punctum quoque A ese in , rectamque AC luperre.
ctam 9P. Aeque ideo, cum punctum C circulimajoris existatin
linea AC producta, patet, illud polt hujus quadrantis derolutio.
neminrentum iri in puncto R, rectamque DR aequalem tore
rectae AO TCu HIP, e lingulas eodem temporis spatio ab vEro-
que circuli quadrance pertici. Quod d detota circuli circumte-
rentia concludere licet. P quibus tandem liguet, qua ratione cir-
culus circumrolri pollie, uc rectam absolrat lineam, quae circuI.
Ferentia ejus sic vel aequalis, vel major, rel minor.
Sed de lupra dicta linea A F P nocandum, cam duobus imori
bus describi, inter se distinctis; recto nempe, quo circulus
ABC D detertur ab A ad F; de circulari, quo punctum in ejus
circumterentia A (quod Frochoidem delcribic) rotatur circa cen-
crum, dum moretur per lineam rectam ipsi A E. Xqualem e Pa.
raltelam.