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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 138r, page id 00068200:0277
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i Novembi. 167 scheda Ldd
fluis modus curvam quam vectis ducens tangit
describendi:
curvae hujus hoc est proprietas, ut si in langente ejus
sumatur BE magnitudine data, jungaturque E cum
puncto positione dato D, recta DE sit etiam
magnitudine data.
jungatur 1E1B secans
Hanc ita investigare Tentabimus.
Centro D. recta data DE
de scribatiuor circumferentia
circularis, EEE, et
quia unum quaesitae curvae
punctum 1B dari intelligitur
centro 1B radio,B. E dato
describatur arcus circuli scans
sungattur 1EY B
EEE, in 1E
sumatur in
circumf. EEE aliu aliud punctum
E, et eo velus centro, radio
EB dato describatur arcus
circuli 2B2C se inus 1B.E
in puncto aliquo quod erit
2B. et tertium junctum
3E sumatur et quo velut
certro radio EB describatur 3BZC
arcus secans 2E2B in 3B Cr
quartu punctum 4E sumatur centrom
E radio EB descripitu arcus 4B4C
secabit 3B3E in puncto 4C.
eruntue puncta 1B2BZB+B in curva
quaesito posito intervalla esse infinite
parva itaque curva quaesita
mechanice seu per appropinquation
describi poterit
Ut autem describi possit vere, sic forte procedere
licebit: dum DE movetur irca centrum D, motu
si placet uniformi interea EB movetur circa E
motu ic aliquo motu, cujus ut appareat natura
anquiratur, quantom
angucoru
B2ED differentia erit portio motus ipsius EB cirta
centrum E, qua seimel reperta habetur( reperitri autem
certo potest jumendo pro arcublus rectas infinite parva
sem chordas angulorum habebitur curva quaesita
vel quod eodem redit ponatur . C cadere in D. E. et 2C in D.G
et ita porro, quaeranturque ipsae. 1F1B. 2C2B, 3( B, etc.
quam habeant relationem, ad ipsas IE2E. E3E. EqE.
sed satius est quaerere relationem in angulis infinite parvis
sibi enim geometrice haberi potest, et ita determinar
poterit posita circulatione, DE circa D uniformi, et quae
debeat esse EB circa E ut punctum B describat
cuvam quaesitam
am video ligeam BB
liam esse quam circulu
nea BB est circulus
cum angulus DB
une enim semper luanet recti
ass
E